Question 1

What are optimal daily profits?

Accepted Answer

A)  $960
B)  $1,560
C)  $1,800
D)  $1,900
E)  $2,520F) None of the above
G) A) and B)

Question 2

What is the objective function?

Accepted Answer

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

Question 3

Which of the following is not a feasible production/sales combination?

Accepted Answer

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 BF) C) and E)
G) A) and D)

Question 4

What are optimal weekly profits?

Accepted Answer

A)  $0
B)  $400
C)  $700
D)  $800
E)  $900F) B) and D)
G) None of the above

Question 5

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

Accepted Answer

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 aboveF) A) and B)
G) B) and D)

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

Constraints limit the alternatives available to a decision-maker, removing constraints adds viable alternative solutions.

Accepted Answer

A) True 
 B)False

Question 8

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

Accepted Answer

A)  linear regression analysis
B)  linear disaggregation
C)  linear decomposition
D)  linear programming
E)  linear tracking analysisF) B) and C)
G) A) and C)

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

An objective function represents a family of parallel lines.

Accepted Answer

A) True 
 B)False

Question 11

Which of the choices below constitutes a simultaneous solution to these equations?

Accepted Answer

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 = 0F) A) and E)
G) B) and E)

Question 12

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

Accepted Answer

A)  I and II
B)  II and III
C)  I, II and III
D)  I and III
E)  none of the aboveF) C) and D)
G) A) and C)

Question 13

For the constraints given below, which point is in the feasible solution space of this minimization problem?

Accepted Answer

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 = 1.0F) C) and D)
G) C) and E)

Question 14

A novice linear programmer is dealing with a three decision-variable problem.To compare the attractiveness of various feasible decision-variable combinations, values of the objective function at corners are calculated.This is an example of _________.

Accepted Answer

A)  empiritation
B)  explicitation
C)  evaluation
D)  enumeration
E)  elicitationF) C) and D)
G) B) and E)

Question 15

Which of the following is not a feasible production combination?

Accepted Answer

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

Question 16

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

Accepted Answer

A)  marginal cost of adding additional resources
B)  marginal gain in the objective that would be realized by adding one unit of a resource
C)  net gain in the objective that would be realized by adding one unit of a resource
D)  marginal gain in the objective that would be realized by subtracting one unit of a resource
E)  expected value of perfect informationF) A) and D)
G) A) and C)

Question 17

What are optimal weekly profits?

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

What are optimal profits for today's production run?

Accepted Answer

A)  $580
B)  $340
C)  $220
D)  $380
E)  $420F) All of the above
G) B) and E)

Question 20

For the production combination of 180 Root beer and 0 Sassafras soda, which resource is "slack" (not fully used) ?

Accepted Answer

A)  production time (only) 
B)  carbonated water (only) 
C)  both production time and carbonated water
D)  neither production time and carbonated water
E)  cannot be determined exactlyF) B) and E)
G) B) and D)

Exam 19: Linear Programming

Which of the following is not a feasible production/sales combination?

Correct AnswerverifiedShow Answer

For the production combination of 180 Root beer and 0 Sassafras soda, which resource is "slack" (not fully used) ?

Correct AnswerverifiedShow Answer

What are optimal weekly profits?

Correct AnswerverifiedShow Answer

What are optimal daily profits?

Correct AnswerverifiedShow Answer

An objective function represents a family of parallel lines.

Correct AnswerverifiedShow Answer

For the constraints given below, which point is in the feasible solution space of this minimization problem?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Which of the choices below constitutes a simultaneous solution to these equations?

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

What are optimal profits for today's production run?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

A novice linear programmer is dealing with a three decision-variable problem.To compare the attractiveness of various feasible decision-variable combinations, values of the objective function at corners are calculated.This is an example of _________.

Correct AnswerverifiedShow Answer

What is the objective function?

Correct AnswerverifiedShow Answer

Constraints limit the alternatives available to a decision-maker, removing constraints adds viable alternative solutions.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

What are optimal weekly profits?

Correct AnswerverifiedShow Answer

Which of the following is not a feasible production combination?

Correct AnswerverifiedShow Answer

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