Question 1

An example of a decision variable in a linear programming problem is profit maximization.

Accepted Answer

A) True 
 B)False

Question 2

Use the graphical method for linear programming to find the optimal solution for the following problem.
Minimize C = 12x + 4y
  subject to 2x+4y≥125x+2y≥10 and x≥0,y≥0.\begin{aligned}	ext { subject to } 2 x + 4 y & \geq 12 \5 x + 2 y & \geq 10 \	ext { and } \quad x \geq 0 , y & \geq 0 .\end{aligned} subject to 2x+4y5x+2y and x≥0,y​≥12≥10≥0.​

Accepted Answer

A)   (x, y)  = (0, 0) 
B)   (x, y)  = (0, 3) 
C)   (x, y)  = (0, 5) 
D)   (x, y)  = (1, 2.5) 
E)   (x, y)  = (6, 0)  F) None of the above
G) A) and D)

Question 3

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

Accepted Answer

A)   P = 1A + 2B +3C + 4D
B)   P = 1A + 2BC +3D
C)   P = 1A + 2AB +3ABC + 4ABCD
D)   P = 1A + 2B/C +3D
E)   All of the answer choices are correct.F) A) and B)
G) All of the above

Question 4

A manager should know the following things about linear programming.

Accepted Answer

A)   What it is.
B)   When it should be used.
C)   When it should not be used.
D)   How to interpret the results of a study.
E)   All of the answer choices are correct.F) B) and C)
G) C) and E)

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

Use the graphical method for linear programming to find the optimal solution for the following problem.
Minimize C = 6x + 10y
subject to  2x+4y≥122 x + 4 y \geq 122x+4y≥12 
 5x+2y≥10and    x≥0,y≥0.\begin{array} { l } 5 x + 2 y \geq 10 \and~~~~x \geq 0 , y \geq 0 .\end{array}5x+2y≥10and    x≥0,y≥0.​

Accepted Answer

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

Question 7

The operations manager of a mail order house purchases double (D)  and twin (T)  beds for resale. Each double bed costs $500 and requires 100 cubic feet of storage space. Each twin 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 double bed is $300 and for each twin bed is $150. The manager's goal is to maximize profits.
Which of the following is not a feasible solution?

Accepted Answer

A)   (D, T)  = (0, 0) 
B)   (D, T)  = (0, 250) 
C)   (D, T)  = (150, 0) 
D)   (D, T)  = (90, 100) 
E)   (D, T)  = (0, 200) F) None of the above
G) C) and D)

Question 8

The feasible region only contains points that satisfy all constraints.

Accepted Answer

A) True 
 B)False

Question 9

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)  and Dark (D) . He can only get 675 gallons of malt extract per day for brewing and his brewing hours are limited to 8 hours per day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract. 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. The brewery's goal is to maximize profits.
What is the time constraint?

Accepted Answer

A)   2L +3D ≤ 480.
B)   2L + 4D ≤ 480.
C)   3L + 2D ≤ 480.
D)   4L + 2D ≤ 480.
E)   5L + 3D ≤ 480.F) None of the above
G) C) and D)

Question 10

Which of the following constitutes a simultaneous solution to the following 2 equations?
(1)  3x1 + 4x2 = 10
(2)  5x1 + 4x2 = 14

Accepted Answer

A)   (x1, x2)  = (2, 0.5) 
B)   (x1, x2)  = (4, 0.5) 
C)   (x1, x2)  = (2, 1) 
D)   x1 = x2
E)   x2 = 2x1F) B) and E)
G) C) and D)

Question 11

The operations manager of a mail order house purchases double (D)  and twin (T)  beds for resale. Each double bed costs $500 and requires 100 cubic feet of storage space. Each twin 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 double bed is $300 and for each twin bed is $150. The manager's goal is to maximize profits.
What is the objective function?

Accepted Answer

A)   P = 150D + 300T
B)   P = 500D + 300T
C)   P = 300D + 500T
D)   P = 300D + 150T
E)   P = 100D + 90TF) C) and E)
G) B) and E)

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

Use the graphical method for linear programming to find the optimal solution for the following problem.
Minimize C = 3x + 15y
subject to  2x+4y≥122 x + 4 y \geq 122x+4y≥12 
               5x+2y≥10~~~~~~~~~~~~~~5 x + 2 y \geq 10              5x+2y≥10 
And x ? 0, y ? 0.

Accepted Answer

A)   (x, y)  = (0, 0) .
B)   (x, y)  = (0, 3) .
C)   (x, y)  = (0, 5) .
D)   (x, y)  = (1, 2.5) .
E)   (x, y)  = (6, 0) . F) A) and E)
G) C) and E)

Question 14

One of the great strengths of spreadsheets is their flexibility for dealing with a wide variety of problems.

Accepted Answer

A) True 
 B)False

Question 15

A local bagel shop produces 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 baking. Bagel profits are 20 cents each and croissant profits are 30 cents each. The shop wishes to maximize profits.
What is the sugar constraint?

Accepted Answer

A)   6B + 3C ≤ 4,800
B)   1B + 1C ≤ 4,800
C)   2B + 4C ≤ 4,800
D)   4B + 2C ≤ 4,800
E)   2B + 3C ≤ 4,800F) B) and E)
G) All of the above C

Question 16

Using Excel's Solver add-in, find the optimal solution for the following problem?
Maximize P = 8x + 3y
subject to  2x+4y≤202 x + 4 y \leq 202x+4y≤20  
 6x+3y≤186 x + 3 y \leq 186x+3y≤18  
 andx≥0,y≥0and\quad x \geq 0 , y \geq 0andx≥0,y≥0

Accepted Answer

A)   (x, y)  = (3, 0) 
B)   (x, y)  = (0, 3) 
C)   (x, y)  = (0, 0) 
D)   (x, y)  = (0, 5) 
E)   None of the answer choices are correct. F) B) and C)
G) A) and D)

Question 17

Given the following 2 constraints, which solution is a feasible solution for a maximization problem?
(1)  14x1 + 6x2 ≤ 42
(2)  x1 − x2 ≤ 3

Accepted Answer

A)   (x1, x2)  = (1, 5) 
B)   (x1, x2)  = (5, 1) 
C)   (x1, x2)  = (4, 4) 
D)   (x1, x2)  = (2, 1) 
E)   (x1, x2)  = (2, 6) F) C) and E)
G) D) and E)

Question 18

In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as:

Accepted Answer

A)   optimal.
B)   feasible.
C)   nonnegative.
D)   targeted.
E)   All of the answer choices are correct.F) B) and E)
G) B) and D)

Question 19

What is the time constraint?

Accepted Answer

A)   2R + 3S ≤ 720.
B)   2R + 5S ≤ 720.
C)   3R + 2S ≤ 720.
D)   3R + 5S ≤ 720.
E)   5R + 5S ≤ 720.F) A) and B)
G) B) and D)

Question 20

Where are the changing cells located?

Accepted Answer

A)   B2:C2
B)   B2:C2, B5:C7, and F5:F7
C)   B10:C10
D)   F10
E)   None of the answer choices are correct.F) A) and B)
G) A) and C) C

Exam 2: Linear Programming: Basic Concepts

An example of a decision variable in a linear programming problem is profit maximization.

Correct Answer
verified

Use the graphical method for linear programming to find the optimal solution for the following problem. Minimize C = 12x + 4y $\begin{aligned}\text { subject to } 2 x + 4 y & \geq 12 \\5 x + 2 y & \geq 10 \\\text { and } \quad x \geq 0 , y & \geq 0 .\end{aligned}$

Correct Answer
verified

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

Correct Answer
verified

A manager should know the following things about linear programming.

Correct Answer
verified

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

Correct Answer
verified

Use the graphical method for linear programming to find the optimal solution for the following problem. Minimize C = 6x + 10y subject to $2 x + 4 y \geq 12$ $\begin{array} { l } 5 x + 2 y \geq 10 \\and~~~~x \geq 0 , y \geq 0 .\end{array}$

Correct Answer
verified
D

Correct Answer
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The feasible region only contains points that satisfy all constraints.

Correct Answer
verified

Correct Answer
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Which of the following constitutes a simultaneous solution to the following 2 equations? (1) 3x1 + 4x2 = 10 (2) 5x1 + 4x2 = 14

Correct Answer
verified

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

Correct Answer
verified

Use the graphical method for linear programming to find the optimal solution for the following problem. Minimize C = 3x + 15y subject to $2 x + 4 y \geq 12$ $~~~~~~~~~~~~~~5 x + 2 y \geq 10$ And x ? 0, y ? 0.

Correct Answer
verified

One of the great strengths of spreadsheets is their flexibility for dealing with a wide variety of problems.

Correct Answer
verified

Correct Answer
verified
C

Using Excel's Solver add-in, find the optimal solution for the following problem? Maximize P = 8x + 3y subject to $2 x + 4 y \leq 20$ $6 x + 3 y \leq 18$ $and\quad x \geq 0 , y \geq 0$

Correct Answer
verified

Given the following 2 constraints, which solution is a feasible solution for a maximization problem? (1) 14x1 + 6x2 ≤ 42 (2) x1 − x2 ≤ 3

Correct Answer
verified

In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as:

Correct Answer
verified

What is the time constraint?

Correct Answer
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Where are the changing cells located?

Correct Answer
verified
C

Exam 2: Linear Programming: Basic Concepts

An example of a decision variable in a linear programming problem is profit maximization.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

A manager should know the following things about linear programming.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Correct AnswerverifiedD

Correct AnswerverifiedShow Answer

The feasible region only contains points that satisfy all constraints.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Which of the following constitutes a simultaneous solution to the following 2 equations? (1) 3x1 + 4x2 = 10 (2) 5x1 + 4x2 = 14

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Use the graphical method for linear programming to find the optimal solution for the following problem. Minimize C = 3x + 15y subject to 2x+4y≥122 x + 4 y \geq 122x+4y≥12 5x+2y≥10~~~~~~~~~~~~~~5 x + 2 y \geq 10 5x+2y≥10 And x ? 0, y ? 0.

Correct AnswerverifiedShow Answer

One of the great strengths of spreadsheets is their flexibility for dealing with a wide variety of problems.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedC

Using Excel's Solver add-in, find the optimal solution for the following problem? Maximize P = 8x + 3y subject to 2x+4y≤202 x + 4 y \leq 202x+4y≤20 6x+3y≤186 x + 3 y \leq 186x+3y≤18 andx≥0,y≥0and\quad x \geq 0 , y \geq 0andx≥0,y≥0

Correct AnswerverifiedShow Answer

Given the following 2 constraints, which solution is a feasible solution for a maximization problem? (1) 14x1 + 6x2 ≤ 42 (2) x1 − x2 ≤ 3

Correct AnswerverifiedShow Answer

In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as:

Correct AnswerverifiedShow Answer

What is the time constraint?

Correct AnswerverifiedShow Answer

Where are the changing cells located?

Correct AnswerverifiedC

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
verified

Correct Answer
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D

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
verified

Use the graphical method for linear programming to find the optimal solution for the following problem. Minimize C = 3x + 15y subject to $2 x + 4 y \geq 12$ $~~~~~~~~~~~~~~5 x + 2 y \geq 10$ And x ? 0, y ? 0.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
C

Using Excel's Solver add-in, find the optimal solution for the following problem? Maximize P = 8x + 3y subject to $2 x + 4 y \leq 20$ $6 x + 3 y \leq 18$ $and\quad x \geq 0 , y \geq 0$

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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C