Deck 16: Nonlinear and Non-Smooth Optimization

Question 1

Use the table below to answer the following question(s).

Bolton Computers are planning to release a new line of low-end laptops.Using Excel's Solver, develop a nonlinear model to calculate the optimal price for the laptops, given that sales = -3.85 × price + 1150.9.

A)342.40
B)380.90
C)719.70
D)149.47

Answer 1

D

Question 2

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, what is the new price for Gold tickets?

A)$16.50
B)$15.50
C)$16
D)$16.11

Answer 2

A

Question 3

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the projected revenue figure for Classic tickets based on its new price?

A)$1,314.72
B)$1,116.03
C)$521.68
D)$1,312.52

Answer 3

A

Question 4

Use the table below to answer the following question(s).

According to the nonlinear model, which of the following is the total revenue expected from the sales?

A)22,340.91
B)85,876.59
C)107,571.78
D)74,733.77

Question 5

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the projected sales figure for Classic tickets at the new price?

A)32
B)90
C)175
D)202

Question 6

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the Y-coordinate for the location of Shirley's new accommodation?

A)91.16
B)25.08
C)98.21
D)54.62

Question 7

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the total projected revenue for the new sales figures?

A)$1,637.72
B)$2,970.09
C)$1,316.92
D)$2,865.89

Question 8

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, what is the new price for Silver tickets?

A)$7.40
B)$12.17
C)$11.50
D)$12.50

Question 9

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

Which of the following is true of the nonlinear model created for the Atlas movie ticket repricing scenario?

A)The projected revenue for the Gold class is infeasible within the price range provided.
B)The projected value for most tickets sold is for the Silver class.
C)The total projected tickets sold exceed the total seating capacity.
D)The projected revenue is lowest for the Gold tickets.

Question 10

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the projected revenue figure for Silver tickets based on its new price?

A)$1,163.02
B)$1,132.08
C)$1,224.63
D)$1,316.92

Question 11

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

Which of the following is the rectilinear distance between the points A(13,15)and B(10,12)?

A)4
B)25
C)6
D)10

Question 12

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the distance between Shirley's new accommodation and Bungalow 1?

A)36.53
B)14.53
C)98.21
D)23.12

Question 13

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, what is the new price for Classic tickets?

A)$7.50
B)$12.45
C)$6.50
D)$8.20

Question 14

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the distance between Shirley's new accommodation and Bungalow 2?

A)91.16
B)23.12
C)98.21
D)14.53

Question 15

Use the table below to answer the following question(s).

According to the nonlinear model, which of the following is the expected sales figure based on the computed price?

A)149.47
B)719.7
C)575.45
D)500

Question 16

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the projected sales figure for Silver tickets at the new price?

A)93
B)178
C)202
D)101

Question 17

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the distance between Shirley's new accommodation and Bungalow 3?

A)54.62
B)25.08
C)36.53
D)23.12

Question 18

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the projected sales figure for Gold tickets at the new price?

A)32
B)90
C)33
D)178

Question 19

Use the table below to create a nonlinear model based on the table to answer the following question(s).
The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates.

According to the nonlinear model, which of the following is the projected revenue figure for Gold tickets based on its new price?

A)$432.93
B)$1,316.92
C)$1,116.03
D)$523.29

Question 20

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the X-coordinate for the location of Shirley's new accommodation?

A)54.62
B)36.53
C)25
D)23.12

Question 21

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what percentage of the budget should be allocated to Stock 1?

A)10%
B)25%
C)50%
D)40%

Question 22

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the distance between Shirley's new accommodation and Bungalow 4?

A)14.53
B)250.78
C)54.62
D)98.21

Question 23

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, which of the following bungalows is Shirley's new accommodation closest to?

A)Bungalow 1
B)Bungalow 5
C)Bungalow 2
D)Bungalow 4

Question 24

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the weighted distance between Shirley's new accommodation and Bungalow 4?

A)589.25
B)346.77
C)1529.39
D)3152.08

Question 25

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the weighted distance between Shirley's new accommodation and Bungalow 2?

A)435.89
B)250.78
C)1529.39
D)589.25

Question 26

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the squared term value for Stock 3 variance?

A)0)00018
B)0)00080
C)0)00096
D)0)00194

Question 27

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the squared term value for Stock 1 variance?

A)0)00065
B)0)00535
C)0)01132
D)0)00283

Question 28

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

Given that Q = order quantity, D = annual demand, C = unit cost of the item, C₀ = cost per order placed, i = inventory carrying charge per unit, which of the following represents the holding cost per unit?

A)D/Q
B)iC
C) (D/Q)C₀
D)iCQ/2

Question 29

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the cross-product value for Stock 1 variance?

A)0)00176
B)0)00450
C)-0.00047
D)0)00194

Question 30

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

In EOQ model, ________ is the estimate on how long it takes an order to be received after it is placed.

A)lead time
B)safety stock
C)time limit
D)cycle time

Question 31

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what percentage of the budget should be allocated to Stock 3?

A)40%
B)20%
C)25%
D)75%

Question 32

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the weighted distance between Shirley's new accommodation and Bungalow 3?

A)3152.08
B)1529.39
C)346.77
D)250.78

Question 33

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the total weighted distance that Shirley would travel between the bungalows?

A)4151.29
B)1529.39
C)3152.08
D)4305.30

Question 34

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the weighted distance between Shirley's new accommodation and Bungalow 5?

A)435.89
B)1529.39
C)589.25
D)250.78

Question 35

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the weighted distance between Shirley's new accommodation and Bungalow 1?

A)589.25
B)435.89
C)346.77
D)3152.08

Question 36

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the squared term value for Stock 2 variance?

A)0)00236
B)-0.00031
C)0)00080
D)0)00430

Question 37

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

Which of the following is the ideal next step if you get the message "Solver has converged to the current solution./All constraints are satisfied," when using Solver for nonlinear optimization models?

A)Accept the values, but run Solver again from the current solution.
B)Do not accept the Solver values and re-run Solver with the starting values.
C)Accept the values and run simulations with different values.
D)Accept the values, and then tweak the values, and re-run Solver on tweaked values.

Question 38

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the cross-product value for Stock 2 variance?

A)0)00080
B)-0.00080
C)-0.00075
D)0)01132

Question 39

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what percentage of the budget should be allocated to Stock 2?

A)90%
B)25%
C)50%
D)75%

Question 40

Use the table below to answer the following question(s).
Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows.

According to the model, what is the distance between Shirley's new accommodation and Bungalow 5?

A)54.62
B)25.08
C)14.53
D)91.16

Question 41

Pickson Luthiers Corporation is studying where to locate a phone charging point on the factory floor.The locations of five production cells are expressed as X- and Y-coordinates on a rectangular grid of the factory layout.The daily demand for the charging point (measured as the number of trips to the charging point)at each production cell is also known.Because of the nature of the equipment layout in the factory and for safety reasons, workers must travel along marked horizontal and vertical aisles to access the charger.Thus, the distance from a cell to the charger is measured as rectilinear distance.
The table below provides the relevant information.

The optimal location should minimize the total weighted distance between the charging point and all production cells, where the weights are the daily number of trips to the phone charging point.
From the above table, provide the objective function for the best location of the charging point.What kind of solution technique from Solver can be used to make the optimization model based on the data?

Question 42

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the expected variance of the resulting portfolio?

A)0)014
B)0)010
C)0)009
D)0)012

Question 43

According to the model, which of the following is the weighted distance between the phone charger and Testing cell?

A)7)00
B)17.50
C)22.50
D)27.50

Question 44

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the expected total return on all stocks?

A)18%
B)10%
C)11%
D)12%

Question 45

According to the model, which of the following production cells covers the most distance according to its demand when using the phone charger?

A)Measurements
B)Paint
C)Electricals
D)Testing

Question 46

All quadratic optimization models have nonlinear constraints.

Question 47

From the data in the table below, calculate the total annual cost using the economic order quantity model.

Question 48

According to the model, which of the following is the weighted distance between the phone charger and Measurements cell?

A)12.00
B)75.00
C)7)00
D)54.00

Question 49

Rectilinear distance is the measure of distance as a straight line between two points.

Question 50

Use the table below to answer the following question(s).
Pickson Luthiers Corporation is studying where to locate a phone charging point on the factory floor.The locations of five production cells are expressed as X- and Y-coordinates on a rectangular grid of the factory layout.The daily demand for the charging point (measured as the number of trips to the charging point)at each production cell is also known.Because of the nature of the equipment layout in the factory and for safety reasons, workers must travel along marked horizontal and vertical aisles to access the charger.Thus, the distance from a cell to the charger is measured as rectilinear distance.
The table below provides the relevant information.

The optimal location should minimize the total weighted distance between the charging point and all production cells, where the weights are the daily number of trips to the phone charging point.
Create a nonsmooth optimization model, based on the data, to answer the following questions.(Hint: Choose the closest answers.)
According to the model, which of the following is the X-coordinate for the phone charger location?

A)2)00
B)3)00
C)3)50
D)4)00

Question 51

Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Using the table above, provide the objective function for minimal variance, and the constraints for creating an optimization model.

Question 52

According to the model, which of the following is the Y-coordinate for the phone charger location?

A)1)50
B)1)00
C)3)00
D)5)00

Question 53

According to the model, what is the total weighted distance between the 5 production cells and the phone charger?

A)253.50
B)113.00
C)172.50
D)165.50

Question 54

According to the model, which of the following is the weighted distance between the phone charger and Packaging cell?

A)10.50
B)0
C)7)00
D)14.00

Question 55

For nonlinear models, the Lagrange multipliers are only approximate indicators of shadow prices.

Question 56

According to the model, which of the following is the weighted distance between the phone charger and Electricals cell?

A)75.00
B)125.00
C)100.00
D)112.50

Question 57

Use the table below to answer the following question(s).
Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.

Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix.
According to the model, what is the cross-product value for Stock 3 variance?

A)0)00049
B)0)00283
C)-0.00047
D)0)00074

Question 58

According to the model, which of the following is the weighted distance between the phone charger and Paint cell?

A)36.00
B)12.00
C)24.00
D)0

Question 59

A global optimum solution is one for which all points close by are no better than the solution.

Question 60

The economic order quantity is the amount to order that minimizes the total cost of ordering and holding.

Question 61

List the four major categories of inventory costs and explain how they are influenced by the timing of the ordering decision and amount ordered.

Question 62

Absolute value functions, in optimization models, result in non-smooth functions.

Question 63

What is a job-sequencing problem? How can we find an optimal solution for such problems?

Question 64

Explain the travelling salesperson problem with examples.

Question 65

What are the assumptions made when developing an economic order quantity model?

Question 66

Explain how the Markowitz portfolio model is a quadratic optimization model.