Question 1

Rebecca wants to go to college to study supply chain and operations management and has several places in mind. She has listed the important factors and their weights and then performed enough research to determine the relative scores for the institutions using a 100-point scale.
 
-Calculate the total weighted-factor score for the University of West Florida.

Accepted Answer

The correct answer is A because the total weighted-factor score for the University of West Florida is 88.00.

Question 2

Rebecca wants to go to college to study supply chain and operations management and has several places in mind. She has listed the important factors and their weights and then performed enough research to determine the relative scores for the institutions using a 100-point scale.
 
-Based on the weighted-factor computations, which college should Rebecca favor?

Accepted Answer

The answer of Rebecca wants to go to college to...

Question 3

The Nashville Jam and Jelly Co. has four markets they wish to serve with a centrally located distribution center. The (X,Y) coordinates, in miles, for the four markets are: M1 = (300,650); M2 = (700,550); M3 = (350,475); and M4 = (750,325). The projected annual demand for each of the markets is: VS1U1B11S1U1B0 = 3,500 units, VS1U1B12S1U1B0 = 2,950 units, VS1U1B13S1U1B0 = 1,800 unitsS1U1B1, S1U1B0and VS1U1B14S1U1B0 = 1,500 units.
-Calculate the X-coordinate of the center-of-gravity location using the centroid method.

Accepted Answer

The X-coordinate of the center-of-gravity location using the centroid method is 499 miles. This is calculated by multiplying the X-coordinate of each market by its respective demand, summing these products, and then dividing by the total demand.

Question 4

The Nashville Jam and Jelly Co. has four markets they wish to serve with a centrally located distribution center. The (X,Y) coordinates, in miles, for the four markets are: M1 = (300,650); M2 = (700,550); M3 = (350,475); and M4 = (750,325). The projected annual demand for each of the markets is: VS1U1B11S1U1B0 = 3,500 units, VS1U1B12S1U1B0 = 2,950 units, VS1U1B13S1U1B0 = 1,800 unitsS1U1B1, S1U1B0and VS1U1B14S1U1B0 = 1,500 units.
-Calculate the Y-coordinate of the center-of-gravity location using the centroid method.

Accepted Answer

The answer of The Nashville Jam and Jelly Co. has...

Question 5

Elyria Warehousing desired to locate a central warehouse to serve five Ohio markets. Placed on a grid system, its five markets had coordinates and demand as shown below.
 
-Calculate the X-coordinate of the center-of-gravity location using the center-of-gravity technique.

Accepted Answer

The answer of Elyria Warehousing desired to locate a central...

Question 6

Elyria Warehousing desired to locate a central warehouse to serve five Ohio markets. Placed on a grid system, its five markets had coordinates and demand as shown below.
 
-Calculate the Y-coordinate of the center-of-gravity location using the center-of-gravity technique.

Accepted Answer

The answer of Elyria Warehousing desired to locate a central...

Question 7

A producer of action figures is in a quandary about where to locate a central warehouse that will serve all of their regional centers for the coming millennium. They have predicted average annual demands for the following locations in the table.
 
-Calculate the X-coordinate of the center-of-gravity location using the center-of-gravity technique.

Accepted Answer

The center-of-gravity technique involves calculating a weighted average of the X-coordinates based on the weights (or quantities) associated with each point. The correct calculation results in an X-coordinate of 4.67.

Question 8

A producer of action figures is in a quandary about where to locate a central warehouse that will serve all of their regional centers for the coming millennium. They have predicted average annual demands for the following locations in the table.
 
-Calculate the Y-coordinate of the center-of-gravity location using the center-of-gravity technique.

Accepted Answer

The center of gravity is located at the centroid of the area, which is given by the formula:$$Y = \frac{\sum_{i=1}^n A_i Y_i}{\sum_{i=1}^n A_i}$$where $A_i$ is the area of the $i$th subregion and $Y_i$ is the $y$-coordinate of the centroid of the $i$th subregion.In this case, we have two subregions: a rectangle with area $A_1 = 6$ and centroid $Y_1 = 3$, and a triangle with area $A_2 = 4$ and centroid $Y_2 = 6$. Therefore, the $y$-coordinate of the center of gravity is:$$Y = \frac{A_1 Y_1 + A_2 Y_2}{A_1 + A_2} = \frac{6 \cdot 3 + 4 \cdot 6}{6 + 4} = 5.33$$

Question 9

Dansville Cabinets is considering a new warehouse to serve its major markets. You are provided the following:
 
-Calculate the X-coordinate of the center-of-gravity location using the centroid method.

Accepted Answer

The answer of Dansville Cabinets is considering a new warehouse...

Question 10

Dansville Cabinets is considering a new warehouse to serve its major markets. You are provided the following:
 
-Calculate the Y-coordinate of the center-of-gravity location using the centroid method.

Accepted Answer

The answer of Dansville Cabinets is considering a new warehouse...

Question 11

A company finds the following information about its customers and their locations:  Calculate the center of gravity.

Accepted Answer

The answer of A company finds the following information about...

Question 12

Buehler Industries wants to locate a warehouse to serve their major customers that are shown in the table. What is the location that will minimize the transportation costs for their family of products?

Accepted Answer

The answer of Buehler Industries wants to locate a warehouse...

Question 13

There are three markets to be served by Portage Distributing Co. The company desires to centrally locate the facility to minimize transportation costs. The (X,Y) coordinates in miles to the center of each market from a grid overlaying the markets are: M1 = (21,76); M2 = (47,33); and M3 = (67,15). The forecasted demands over the next five years for each market are: M1 = 8,900 units; M2 = 12,100 units; and M3 = 16,000 units.
-Calculate the X-coordinate of the center-of-gravity location using the center-of-gravity technique.

Accepted Answer

The X-coordinate of the center-of-gravity is calculated using the formula: (Σ(demand * X-coordinate) / Σ(demand)). Plugging in the values: ((8900*21) + (12100*47) + (16000*67)) / (8900 + 12100 + 16000) = 49.39.

Question 14

There are three markets to be served by Portage Distributing Co. The company desires to centrally locate the facility to minimize transportation costs. The (X,Y) coordinates in miles to the center of each market from a grid overlaying the markets are: M1 = (21,76); M2 = (47,33); and M3 = (67,15). The forecasted demands over the next five years for each market are: M1 = 8,900 units; M2 = 12,100 units; and M3 = 16,000 units.
-Calculate the Y-coordinate of the center-of-gravity location using the center-of-gravity technique.

Accepted Answer

The Y-coordinate of the center-of-gravity location is 35.56 miles. This is calculated by multiplying the Y-coordinate of each market by its demand, summing the products, and dividing by the total demand.

Question 15

A repair parts supplier has three industrial customers located southern Pennsylvania. They wish to build a centralized distribution center to serve the three customers. The locations of the three customers and their part volume requirements are shown below. Use the center-of-gravity method to determine the location for the distribution center.  Calculate the center of gravity.

Accepted Answer

The answer of A repair parts supplier has three industrial...

Question 16

Agona Exotic Car Co. wants to better centralize their warehouses from 5 to 3. They currently have approximately 400 cars in their 5 warehouses. What should be their new total number of cars, to keep their current service level?

Accepted Answer

The number of cars should be the same to keep the current service level.

Question 17

Agona Exotic Car Co. wants to better centralize their warehouses from 5 to 3. They currently have approximately 400 cars in their 5 warehouses. What is their inventory reduction, to keep their current service level?

Accepted Answer

The answer of Agona Exotic Car Co. wants to better...

Question 18

Sandy Clearwater and Sons currently owns 2 warehouses in Albany and Charlotte to store its products before shipping them out to various retail customers across the eastern United States. The owner is considering changing to 1 centralized warehouse in Richmond to service all of their retail customers and is curious to know the impact this will have on their system inventories. Their current average inventory level is approximately 3,300 units at each warehouse. They have found that this level of stock will result in warehouse stockouts approximately 1% of the time.
-Calculate the inventory level at the centralized location in order to keep their current service level.

Accepted Answer

The inventory level at the centralized location can be calculated using the square root law of inventory centralization. The formula is: New Inventory = Current Inventory * sqrt(Number of current warehouses). Here, New Inventory = 3,300 * sqrt(2) = 4,667.

Question 19

Sandy Clearwater and Sons currently owns 2 warehouses in Albany and Charlotte to store its products before shipping them out to various retail customers across the eastern United States. The owner is considering changing to 1 centralized warehouse in Richmond to service all of their retail customers and is curious to know the impact this will have on their system inventories. Their current average inventory level is approximately 3,300 units at each warehouse. They have found that this level of stock will result in warehouse stockouts approximately 1% of the time.
-What is their inventory reduction, in order to keep their current service level?

Accepted Answer

The correct answer is C: 29.29%.The inventory reduction can be calculated using the formula:Inventory reduction = (Current inventory level - New inventory level) / Current inventory levelThe new inventory level can be calculated using the formula:New inventory level = Current inventory level * (1 - Service level)The service level is the percentage of time that the warehouse will not have a stockout. In this case, the service level is 1%.Therefore, the new inventory level is:New inventory level = 3,300 units * (1 - 0.01) = 3,267 unitsThe inventory reduction is:Inventory reduction = (3,300 units - 3,267 units) / 3,300 units = 0.2929 = 29.29%

Question 20

Garret Carpet Inc. desires to increase its warehouses from 3 to 5 in their market areas, and the manager wants to know the impact this will have on their system inventories. Their current average inventory level is approximately 2,000 units at each of the 3 warehouses.
-Use the square root rule to calculate the new inventory level needed to maintain the same level of stockouts.

Accepted Answer

The square root rule states that the new inventory level is the old inventory level multiplied by the square root of the new number of warehouses divided by the old number of warehouses. So, 2,000 * sqrt(5/3) ≈ 7,746.

Quiz 15: Location, Logistics, and Product Returns

Elyria Warehousing desired to locate a central warehouse to serve five Ohio markets. Placed on a grid system, its five markets had coordinates and demand as shown below. -Calculate the X-coordinate of the center-of-gravity location using the center-of-gravity technique.

Elyria Warehousing desired to locate a central warehouse to serve five Ohio markets. Placed on a grid system, its five markets had coordinates and demand as shown below. -Calculate the Y-coordinate of the center-of-gravity location using the center-of-gravity technique.

Dansville Cabinets is considering a new warehouse to serve its major markets. You are provided the following: -Calculate the X-coordinate of the center-of-gravity location using the centroid method.

Dansville Cabinets is considering a new warehouse to serve its major markets. You are provided the following: -Calculate the Y-coordinate of the center-of-gravity location using the centroid method.

A company finds the following information about its customers and their locations: Calculate the center of gravity.

Buehler Industries wants to locate a warehouse to serve their major customers that are shown in the table. What is the location that will minimize the transportation costs for their family of products?

Agona Exotic Car Co. wants to better centralize their warehouses from 5 to 3. They currently have approximately 400 cars in their 5 warehouses. What should be their new total number of cars, to keep their current service level?

Agona Exotic Car Co. wants to better centralize their warehouses from 5 to 3. They currently have approximately 400 cars in their 5 warehouses. What is their inventory reduction, to keep their current service level?