Deck 6: B: Process Design and Facility Layout

Question 1

A linear programming problem can have multiple optimal solutions.

Answer 1

True

Question 2

The term "isoprofit" line means that all points on the line will yield the same profit.

Answer 2

True

Question 3

If a single optimal solution exists to a graphical LP problem,it will exist at a corner point.

Answer 3

True

Question 4

Slack or surplus is associated with a binding constraint.

Question 5

The equation 3xy = 9 is linear.

Question 6

The feasible solution space is the set of all feasible combinations of decision variables as defined by only binding constraints.

Question 7

A maximization problem may be characterized by all greater than or equal to constraints.

Question 8

A change in the value of an objective function coefficient does not change the optimal solution.

Question 9

The removal of a redundant constraint does not affect the feasible solution space.

Question 10

An objective function represents a family of parallel lines.

Question 11

The simplex method is an LP algorithm that can be used for solving only large-scale problems.

Question 12

The equation 5x + 7y = 10 is linear.

Question 13

LP problems must have a single goal or objective specified.

Question 14

The feasible solution space only contains points that satisfy all constraints.

Question 15

Linear programming techniques will produce an optimal solution to problems that involve limitations on resources.

Question 16

An example of a decision variable in an LP problem is profit maximization.

Question 17

The value of an objective function decreases as it is moved away from the origin.

Question 18

Every constraint in a maximization problem has a slack variable.

Question 19

Constraints limit the alternatives available to a decision-maker.

Question 20

The graphical Solution Method can handle problems that involve any number of decision variables.

Question 21

Which of the following is not a necessary assumption in order for a linear programming model to be used effectively?

A) Linearity
B) Exponentiality
C) Divisibility
D) Certainty
E) Non-negativity

Question 22

What combination of x and y will yield the optimum solution for this problem?
Maximize Z = $3x + $15y; Subject to:
(1)2x + 4y ≤ 12 (2)5x + 2y ≤ 10

A) x = 2, y = 0
B) x = 0, y = 0
C) x = 0, y = 3
D) x = 1, y = 5
E) None of the choices are correct.

Question 23

The term "range of feasibility" refers to coefficients of the objective function.

Question 24

Which of the choices below constitutes a simultaneous solution to these equations?
(1)3x + 2y = 6 and (2)6x + 3y = 12

A) x = 1, y = 1.5
B) x = .5, y = 2
C) x = 0, y = 3
D) x = 2, y = 0
E) x = 0, y = 0

Question 25

Which of the following is not written in the standard form of a linear programming problem constraint?

A) 1A + 2B ≥ 3
B) 1A + 2B ≤ 3
C) 1A + 2B = 3
D) 1A + 2B + 3C + 4D ≤ 5
E) 2A ≤ 3B

Question 26

In the range of feasibility,the value of the shadow price remains constant.

Question 27

In graphical linear programming the objective function is:
I)linear.
II)a family of parallel lines.
III)a family of is profit lines.

A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III

Question 28

A shadow price indicates how much a one-unit decrease/increase in the right-hand side value of a constraint will decrease/increase the optimal value of the objective function.

Question 29

Every change in the value of an objective function coefficient will lead to a changed optimal solution.

Question 30

When a change in the value of an objective function coefficient remains within the range of optimality,the optimal solution would also remain the same.

Question 31

The linear optimization technique for allocating constrained resources among different products is:

A) linear regression analysis.
B) linear disaggregation.
C) linear decomposition.
D) linear programming.
E) linear tracking analysis.

Question 32

For the constraints given below,which point is in the feasible solution space of this maximization problem?
(1)14x + 6y ≤ 42
(2)x - y ≤ 3

A) x = 1, y = 5
B) x = -1, y = 1
C) x = 4, y = 4
D) x = 2, y = 1
E) x = 2, y = 8

Question 33

Which objective function has the same slope as this one: $4x + $2y = $20?

A) $4x + $2y = $10
B) $2x + $4y = $20
C) $2x - $4y = $20
D) $4x - $2y = $20
E) $8x + $8y = $20

Question 34

A constraint that does not form a unique boundary of the feasible solution space is a:

A) redundant constraint.
B) binding constraint.
C) non-binding constraint.
D) feasible solution constraint.
E) none of the choices are correct.

Question 35

The region which satisfies all of the constraints in linear programming is called the:

A) optimum solution space.
B) region of optimality.
C) profit maximization space.
D) region of non-negativity.
E) feasible solution space.

Question 36

Which of the choices below constitutes a simultaneous solution to these equations?
(1)3x + 4y = 10 and (2)5x + 4y = 14

A) x = 2, y = .5
B) x = 4, y = -.5
C) x = 2, y = 1
D) x = y
E) y = 2x

Question 37

Which of the following is not a component of the structure of a linear programming model?

A) Constraints
B) Decision variables
C) Environment of certainty
D) A goal or objective
E) All of these are components

Question 38

The logical approach,from beginning to end,for assembling a linear programming model begins with:

A) identifying the decision variables.
B) identifying the objective function.
C) specifying the objective function parameters.
D) identifying the constraints.
E) specifying the constraint parameters.

Question 39

The term "range of optimality" refers to a constraint's right-hand side quantity.

Question 40

For the products A,B,C,and D,which of the following could be a linear programming objective function?

A) Z = 1A + 2B + 3C + 4D
B) Z = 1A + 2BC + 3D
C) Z = 1A + 2AB + 3ABC + 4ABCD
D) Z = 1A + 2B/C + 3D
E) All of the choices are correct.

Question 41

The theoretical limit on the number of decision variables that can be handled by the simplex method in a single problem is:

A) 1
B) 2
C) 3
D) 4
E) unlimited.

Question 42

The operations manager for the Blue Moon Brewing Co.produces two beers: Lite (L)and Dark (D).Two of his resources are constrained:
Production time,which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients),of which he can get only 675 gallons each day.To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract,while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract.Profits for Lite beer are $3.00 per keg,and profits for Dark beer are $2.00 per keg.What are optimal daily profits?

A) $0
B) $240
C) $420
D) $405
E) $505

Question 43

For the constraints given below,which point is in the feasible solution space of this minimization problem?
(1)14x + 6y > 42 (2)x + 3y > 6

A) x = 0.5, y = 5.0
B) x = 0.0, y = 4.0
C) x = 2.0, y = 5.0
D) x = 1.0, y = 2.0
E) x = 2.0, y = 1.0

Question 44

In the graphical method of linear programming,when the objective function is parallel to one of the constraints,then:

A) the solution is suboptimal.
B) multiple optimal solutions exist.
C) a single corner point solution exists.
D) no feasible solution exists.
E) none of the choices are correct.

Question 45

The production planner for Fine Coffees,Inc.produces two coffee blends: American (A)and British (B).Two of his resources are constrained:
Columbia beans,of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans,of which he can get at most 200 pounds (3,200 ounces)per week.Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans; while a pound of British blend coffee uses 8 ounces of each type of bean.Profits for the American blend are $2.00 per pound,and profits for the British blend are $1.00 per pound.Which of the following is not a feasible production combination?

A) 0 A & 0 B
B) 0 A & 400 B
C) 200 A & 300 B
D) 400 A & 0 B
E) 400 A & 400 B

Question 46

The theoretical limit on the number of constraints that can be handled by the simplex method in a single problem is:

A) 1
B) 2
C) 3
D) 4
E) unlimited.

Question 47

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S).Two resources are constrained:
Production time (T),of which she has at most 12 hours per day; and carbonated water (W),of which she can get at most 1500 gallons per day.A case of root beer requires 2 minutes of time and 5 gallons of water to produce,while a case of sassafras soda requires 3 minutes of time and 5 gallons of water.Profits for the root beer are $6.00 per case,and profits for the sassafras soda are $4.00 per case.What is the objective function?

A) Z = $4 R + $6 S
B) Z = $2 R + $3 S
C) Z = $6 R + $4 S
D) Z = $3 R + $2 S
E) Z = $5 R + $5 S

Question 48

The operations manager for the Blue Moon Brewing Co.produces two beers: Lite (L)and Dark (D).Two of his resources are constrained:
Production time,which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients),of which he can get only 675 gallons each day.To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract,while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract.Profits for Lite beer are $3.00 per keg,and profits for Dark beer are $2.00 per keg.What is the objective function?

A) Z = $2 L + $3 D
B) Z = $2 L + $4 D
C) Z = $3 L + $2 D
D) Z = $4 L + $2 D
E) Z = $5 L + $3 D

Question 49

A shadow price reflects which of the following in a maximization problem?

A) The marginal cost of adding additional resources
B) The marginal gain in the objective that would be realized by adding one unit of a resource
C) The net gain in the objective that would be realized by adding one unit of a resource
D) The marginal gain in the objective that would be realized by subtracting one unit of a resource
E) None of the choices are correct.

Question 50

The production planner for Fine Coffees,Inc.produces two coffee blends: American (A)and British (B).Two of his resources are constrained:
Columbia beans,of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans,of which he can get at most 200 pounds (3,200 ounces)per week.Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans; while a pound of British blend coffee uses 8 ounces of each type of bean.Profits for the American blend are $2.00 per pound,and profits for the British blend are $1.00 per pound.For the production combination of 0 American and 400 British,which resource is "slack" (not fully used)?

A) Colombian beans (only)
B) Dominican beans (only)
C) Both Colombian beans and Dominican beans
D) Neither Colombian beans nor Dominican beans
E) Cannot be determined exactly

Question 51

What combination of x and y will provide a minimum for this problem?
Minimize Z = $3x + $15y; Subject to:
(1)2x + 4y > 12 (2)5x + 2y > 10

A) x = 0, y = 0
B) x = 0, y = 3
C) x = 0, y = 5
D) x = 1, y = 2.5
E) x = 6, y = 0

Question 52

The production planner for Fine Coffees,Inc.produces two coffee blends: American (A)and British (B).Two of his resources are constrained:
Columbia beans,of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans,of which he can get at most 200 pounds (3,200 ounces)per week.Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans; while a pound of British blend coffee uses 8 ounces of each type of bean.Profits for the American blend are $2.00 per pound,and profits for the British blend are $1.00 per pound.What is the Dominican bean constraint?

A) 12A + 8B ≤ 4,800
B) 8A + 12B ≤ 4,800
C) 4A + 8B ≤ 3,200
D) 8A + 4B ≤ 3,200
E) 4A + 8B ≤ 4,800

Question 53

The production planner for Fine Coffees,Inc.produces two coffee blends: American (A)and British (B).Two of his resources are constrained:
Columbia beans,of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans,of which he can get at most 200 pounds (3,200 ounces)per week.Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans; while a pound of British blend coffee uses 8 ounces of each type of bean.Profits for the American blend are $2.00 per pound,and profits for the British blend are $1.00 per pound.What is the objective function?

A) Z = $1 A + $2 B
B) Z = $12 A + $8 B
C) Z = $2 A + $1 B
D) Z = $8 A + $12 B
E) Z = $4 A + $8 B

Question 54

The production planner for Fine Coffees,Inc.produces two coffee blends: American (A)and British (B).Two of his resources are constrained:
Columbia beans,of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans,of which he can get at most 200 pounds (3,200 ounces)per week.Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans; while a pound of British blend coffee uses 8 ounces of each type of bean.Profits for the American blend are $2.00 per pound,and profits for the British blend are $1.00 per pound.Using the graphical method,what are optimal weekly profits?

A) $0
B) $400
C) $700
D) $800
E) $900

Question 55

The operations manager for the Blue Moon Brewing Co.produces two beers: Lite (L)and Dark (D).Two of his resources are constrained:
Production time,which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients),of which he can get only 675 gallons each day.To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract,while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract.Profits for Lite beer are $3.00 per keg,and profits for Dark beer are $2.00 per keg.Which of the following is not a feasible production combination?

A) 0 L & 0 D
B) 0 L & 120 D
C) 90 L & 75 D
D) 135 L & 0 D
E) 135 L & 120 D

Question 56

The operations manager for the Blue Moon Brewing Co.produces two beers: Lite (L)and Dark (D).Two of his resources are constrained:
Production time,which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients),of which he can get only 675 gallons each day.To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract,while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract.Profits for Lite beer are $3.00 per keg,and profits for Dark beer are $2.00 per keg.What is the time constraint?

A) 2 L + 3 D ≤ 480
B) 2 L + 4 D ≤ 480
C) 3 L + 2 D ≤ 480
D) 4 L + 2 D ≤ 480
E) 5 L + 3 D ≤ 480

Question 57

In linear programming,sensitivity analysis is associated with:
I)objective function coefficient.
II)right-hand side values of constraints.
III)constraint coefficient.

A) I and II only
B) II and III only
C) I, II, and III
D) I and III only
E) None of the choices are correct.

Question 58

The operations manager for the Blue Moon Brewing Co.produces two beers: Lite (L)and Dark (D).Two of his resources are constrained:
Production time,which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients),of which he can get only 675 gallons each day.To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract,while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract.Profits for Lite beer are $3.00 per keg,and profits for Dark beer are $2.00 per keg.For the production combination of 135 Lite and 0 Dark,which resource is "slack" (not fully used)?

A) Time (only)
B) Malt extract (only)
C) Both time and malt extract
D) Neither time nor malt extract
E) Cannot be determined exactly

Question 59

The production planner for Fine Coffees,Inc.produces two coffee blends: American (A)and British (B).Two of his resources are constrained:
Colombia beans,of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans,of which he can get at most 200 pounds (3,200 ounces)per week.Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans; while a pound of British blend coffee uses 8 ounces of each type of bean.Profits for the American blend are $2.00 per pound,and profits for the British blend are $1.00 per pound.What is the Colombian bean constraint?

A) 1 A + 2 B ≤ 4,800
B) 12 A + 8 B ≤ 4,800
C) 2 A + 1 B ≤ 4,800
D) 8 A + 12 B ≤ 4,800
E) 4 A + 8 B ≤ 4,800

Question 60

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S).Two resources are constrained:
Production time (T),of which she has at most 12 hours per day; and carbonated water (W),of which she can get at most 1500 gallons per day.A case of root beer requires 2 minutes of time and 5 gallons of water to produce,while a case of sassafras soda requires 3 minutes of time and 5 gallons of water.Profits for the root beer are $6.00 per case,and profits for the sassafras soda are $4.00 per case.What is the production time constraint (in minutes)?

A) 2 R + 3 S ≤ 720
B) 2 R + 5 S ≤ 720
C) 3 R + 2 S ≤ 720
D) 3 R + 5 S ≤ 720
E) 5 R + 5 S ≤ 720

Question 61

The owner of Crackers,Inc.produces two kinds of crackers: Deluxe (D)and Classic (C).She has a limited amount of the three ingredients used to produce these crackers available for her next production run:
4,800 ounces of sugar; 9,600 ounces of flour,and 2,000 ounces of salt.A box of Deluxe crackers requires 2 ounces of sugar,6 ounces of flour,and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar,8 ounces of flour,and 2 ounces of salt.Profits for a box of Deluxe crackers are $0.40; and for a box of Classic crackers,$0.50.Using the graphical method,what are profits for the optimal production combination?

A) $800
B) $500
C) $640
D) $620
E) $600

Question 62

An electronics firm produces two models of pocket calculators: the A-100 (A),which is an inexpensive four-function calculator,and the B-200 (B),which also features square root and percent functions.Each model uses one (the same)circuit board,of which there are only 2,500 available for this week's production.Also,the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators,of which the A-100 requires 15 minutes (.25 hours)each,and the B-200 requires 30 minutes (.5 hours)each to produce.The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's.Profits for the A-100 are $1.00 each,and profits for the B-200 are $4.00 each.What is the assembly time constraint (in hours)?

A) 1 A + 1 B ≤ 800
B) 0.25 A + 0.5 B ≤ 800
C) 0.5 A + 0.25 B ≤ 800
D) 1 A + 0.5 B ≤ 800
E) 0.25 A + 1 B ≤ 800

Question 63

A local bagel shop produces two products: bagels (B)and croissants (C).Each bagel requires 6 ounces of flour,1 gram of yeast,and 2 tablespoons of sugar.A croissant requires 3 ounces of flour,1 gram of yeast,and 4 tablespoons of sugar.The company has 6,600 ounces of flour,1,400 grams of yeast,and 4,800 tablespoons of sugar available for today's production run.Bagel profits are 20 cents each,and croissant profits are 30 cents each.What is the objective function?

A) Z = $0.30 B + $0.20 C
B) Z = $0.60 B + $0.30 C
C) Z = $0.20 B + $0.30 C
D) Z = $0.20 B + $0.40 C
E) Z = $0.10 B + $0.10 C

Question 64

An electronics firm produces two models of pocket calculators: the A-100 (A),which is an inexpensive four-function calculator,and the B-200 (B),which also features square root and percent functions.Each model uses one (the same)circuit board,of which there are only 2,500 available for this week's production.Also,the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators,of which the A-100 requires 15 minutes (.25 hours)each,and the B-200 requires 30 minutes (.5 hours)each to produce.The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's.Profits for the A-100 are $1.00 each,and profits for the B-200 are $4.00 each.Which of the following is not a feasible production/sales combination?

A) 0 A & 0 B
B) 0 A & 1,000 B
C) 1,800 A & 700 B
D) 2,500 A & 0 B
E) 100 A & 1,600 B

Question 65

The owner of Crackers,Inc.produces two kinds of crackers: Deluxe (D)and Classic (C).She has a limited amount of the three ingredients used to produce these crackers available for her next production run:
4,800 ounces of sugar; 9,600 ounces of flour,and 2,000 ounces of salt.A box of Deluxe crackers requires 2 ounces of sugar,6 ounces of flour,and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar,8 ounces of flour,and 2 ounces of salt.Profits for a box of Deluxe crackers are $0.40; and for a box of Classic crackers,$0.50.What is the objective function?

A) Z = $0.50 D + $0.40 C
B) Z = $0.20 D + $0.30 C
C) Z = $0.40 D + $0.50 C
D) Z = $0.10 D + $0.20 C
E) Z = $0.60 D + $0.80 C

Question 66

The owner of Crackers,Inc.produces two kinds of crackers: Deluxe (D)and Classic (C).She has a limited amount of the three ingredients used to produce these crackers available for her next production run:
4,800 ounces of sugar; 9,600 ounces of flour,and 2,000 ounces of salt.A box of Deluxe crackers requires 2 ounces of sugar,6 ounces of flour,and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar,8 ounces of flour,and 2 ounces of salt.Profits for a box of Deluxe crackers are $0.40; and for a box of Classic crackers,$0.50.For the production combination of 800 boxes of Deluxe and 600 boxes of Classic,which resource is slack (not fully used)?

A) Sugar (only)
B) Flour (only)
C) Salt (only)
D) Sugar and flour
E) Sugar and salt

Question 67

A local bagel shop produces two products: bagels (B)and croissants (C).Each bagel requires 6 ounces of flour,1 gram of yeast,and 2 tablespoons of sugar.A croissant requires 3 ounces of flour,1 gram of yeast,and 4 tablespoons of sugar.The company has 6,600 ounces of flour,1,400 grams of yeast,and 4,800 tablespoons of sugar available for today's production run.Bagel profits are 20 cents each,and croissant profits are 30 cents each.What is the sugar constraint (in tablespoons)?

A) 6 B + 3 C ≤ 4,800
B) 1 B + 1 C ≤ 4,800
C) 2 B + 4 C ≤ 4,800
D) 4 B + 2 C ≤ 4,800
E) 2 B + 3 C ≤ 4,800

Question 68

A local bagel shop produces two products: bagels (B)and croissants (C).Each bagel requires 6 ounces of flour,1 gram of yeast,and 2 tablespoons of sugar.A croissant requires 3 ounces of flour,1 gram of yeast,and 4 tablespoons of sugar.The company has 6,600 ounces of flour,1,400 grams of yeast,and 4,800 tablespoons of sugar available for today's production run.Bagel profits are 20 cents each,and croissant profits are 30 cents each.Which of the following is not a feasible production combination?

A) 0 B & 0 C
B) 0 B & 1,100 C
C) 800 B & 600 C
D) 1,100 B & 0 C
E) 0 B & 1,400 C

Question 69

A local bagel shop produces two products: bagels (B)and croissants (C).Each bagel requires 6 ounces of flour,1 gram of yeast,and 2 tablespoons of sugar.A croissant requires 3 ounces of flour,1 gram of yeast,and 4 tablespoons of sugar.The company has 6,600 ounces of flour,1,400 grams of yeast,and 4,800 tablespoons of sugar available for today's production run.Bagel profits are 20 cents each,and croissant profits are 30 cents each.For the production combination of 600 bagels and 800 croissants,which resource is "slack" (not fully used)?

A) Flour (only)
B) Sugar (only)
C) Flour and yeast
D) Flour and sugar
E) Yeast and sugar

Question 70

An electronics firm produces two models of pocket calculators: the A-100 (A),which is an inexpensive four-function calculator,and the B-200 (B),which also features square root and percent functions.Each model uses one (the same)circuit board,of which there are only 2,500 available for this week's production.Also,the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators,of which the A-100 requires 15 minutes (.25 hours)each,and the B-200 requires 30 minutes (.5 hours)each to produce.The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's.Profits for the A-100 are $1.00 each,and profits for the B-200 are $4.00 each.What is the objective function?

A) Z = $4.00 A + $1.00 B
B) Z = $0.25 A + $1.00 B
C) Z = $1.00 A + $4.00 B
D) Z = $1.00 A + $1.00 B
E) Z = $0.25 A + $0.50 B

Question 71

The owner of Crackers,Inc.produces two kinds of crackers: Deluxe (D)and Classic (C).She has a limited amount of the three ingredients used to produce these crackers available for her next production run:
4,800 ounces of sugar; 9,600 ounces of flour,and 2,000 ounces of salt.A box of Deluxe crackers requires 2 ounces of sugar,6 ounces of flour,and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar,8 ounces of flour,and 2 ounces of salt.Profits for a box of Deluxe crackers are $0.40; and for a box of Classic crackers,$0.50.Which of the following is not a feasible production combination?

A) 0 D & 0 C
B) 0 D & 1,000 C
C) 800 D & 600 C
D) 1,600 D & 0 C
E) 0 D & 1,200 C

Question 72

An electronics firm produces two models of pocket calculators: the A-100 (A),which is an inexpensive four-function calculator,and the B-200 (B),which also features square root and percent functions.Each model uses one (the same)circuit board,of which there are only 2,500 available for this week's production.Also,the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators,of which the A-100 requires 15 minutes (.25 hours)each,and the B-200 requires 30 minutes (.5 hours)each to produce.The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's.Profits for the A-100 are $1.00 each,and profits for the B-200 are $4.00 each.For the production combination of 1,400 A-100's and 900 B-200's,which resource is "slack" (not fully used)?

A) Circuit boards (only)
B) Assembly time (only)
C) Both circuit boards and assembly time
D) Neither circuit boards nor assembly time
E) Cannot be determined exactly

Question 73

The owner of Crackers,Inc.produces two kinds of crackers: Deluxe (D)and Classic (C).She has a limited amount of the three ingredients used to produce these crackers available for her next production run:
4,800 ounces of sugar; 9,600 ounces of flour,and 2,000 ounces of salt.A box of Deluxe crackers requires 2 ounces of sugar,6 ounces of flour,and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar,8 ounces of flour,and 2 ounces of salt.Profits for a box of Deluxe crackers are $0.40; and for a box of Classic crackers,$0.50.What is the constraint for sugar?

A) 2 D + 3 C ≤ 4,800
B) 6 D + 8 C ≤ 4,800
C) 1 D + 2 C ≤ 4,800
D) 3 D + 2 C ≤ 4,800
E) 4 D + 5 C ≤ 4,800

Question 74

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S).Two resources are constrained:
Production time (T),of which she has at most 12 hours per day; and carbonated water (W),of which she can get at most 1500 gallons per day.A case of root beer requires 2 minutes of time and 5 gallons of water to produce,while a case of sassafras soda requires 3 minutes of time and 5 gallons of water.Profits for the root beer are $6.00 per case,and profits for the sassafras soda are $4.00 per case.Which of the following is not a feasible production combination?

A) 0 R & 0 S
B) 0 R & 240 S
C) 180 R & 120 S
D) 300 R & 0 S
E) 180 R & 240 S

Question 75

A local bagel shop produces two products: bagels (B)and croissants (C).Each bagel requires 6 ounces of flour,1 gram of yeast,and 2 tablespoons of sugar.A croissant requires 3 ounces of flour,1 gram of yeast,and 4 tablespoons of sugar.The company has 6,600 ounces of flour,1,400 grams of yeast,and 4,800 tablespoons of sugar available for today's production run.Bagel profits are 20 cents each,and croissant profits are 30 cents each.Using the graphical method,what are optimal profits for today's production run?

A) $580
B) $340
C) $220
D) $380
E) $420

Question 76

The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K)and Queen Beds (Q).Each King Bed costs $500 and requires 100 cubic feet of storage space,and each Queen Bed costs $300 and requires 90 cubic feet of storage space.The manager has $75,000 to invest in beds this week,and her warehouse has 18,000 cubic feet available for storage.Profit for each King Bed is $300,and for each Queen Bed is $150.What is the objective function?

A) Z = $150K + $300Q
B) Z = $500K + $300Q
C) Z = $300K + $150Q
D) Z = $300K + $500Q
E) Z = $100K + $90Q

Question 77

The logistics/operations manager of a mail order house purchases two products for resale: King Beds (K)and Queen Beds (Q).Each King Bed costs $500 and requires 100 cubic feet of storage space,and each Queen Bed costs $300 and requires 90 cubic feet of storage space.The manager has $75,000 to invest in beds this week,and her warehouse has 18,000 cubic feet available for storage.Profit for each King Bed is $300,and for each Queen Bed is $150.What is the storage space constraint?

A) 100K - 90Q ≤ 18,000
B) 90K + 100Q ≤ 18,000
C) 300K + 90Q ≤ 18,000
D) 500K + 100Q ≤ 18,000
E) 100K + 90Q ≤ 18,000

Question 78

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S).Two resources are constrained:
Production time (T),of which she has at most 12 hours per day; and carbonated water (W),of which she can get at most 1500 gallons per day.A case of root beer requires 2 minutes of time and 5 gallons of water to produce,while a case of sassafras soda requires 3 minutes of time and 5 gallons of water.Profits for the root beer are $6.00 per case,and profits for the sassafras soda are $4.00 per case.For the production combination of 180 Root beer and 0 Sassafras sodas,which resource is "slack" (not fully used)?

A) Production time (only)
B) Carbonated water (only)
C) Both production time and carbonated water
D) Neither production time nor carbonated water
E) Cannot be determined exactly

Question 79

An electronics firm produces two models of pocket calculators: the A-100 (A),which is an inexpensive four-function calculator,and the B-200 (B),which also features square root and percent functions.Each model uses one (the same)circuit board,of which there are only 2,500 available for this week's production.Also,the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators,of which the A-100 requires 15 minutes (.25 hours)each,and the B-200 requires 30 minutes (.5 hours)each to produce.The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's.Profits for the A-100 are $1.00 each,and profits for the B-200 are $4.00 each.What are optimal weekly profits?

A) $10,000
B) $4,600
C) $2,500
D) $5,200
E) $6,400

Question 80

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S).Two resources are constrained:
Production time (T),of which she has at most 12 hours per day; and carbonated water (W),of which she can get at most 1500 gallons per day.A case of root beer requires 2 minutes of time and 5 gallons of water to produce,while a case of sassafras soda requires 3 minutes of time and 5 gallons of water.Profits for the root beer are $6.00 per case,and profits for the sassafras soda are $4.00 per case.Using the graphical method,what are optimal daily profits?

A) $960
B) $1,560
C) $1,800
D) $1,900
E) $2,520