The marginal value of a pound of pine and the appropriate price range. Introduction: Linear programming: Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

Question

The Gorman Manufacturing Company must decide whether to manufacture a component part at its plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in ten thousand of pesos): state of nature state of nature state of nature Decision Alternative Low Demand S1 Medium DEmand S2 High demand S3 Manufacture, d1 -100 200 500 Purchase, d2 50 225 350 The state-of-nature probabilities are P(s1 ) = 0.35, P(s2 ) = 0.35, and P(s3) = 0.30. a. Use a decision tree to recommend a decision b. Use EVPI to determine whether XY Manufacturing Company should attempt to obtain a better estimate of demand. c. What is the probability that the market research report will be favorable? A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (U) condition. The relevant conditional probabilities are as follows: P…

Answer 1

Question

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

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The Gorman Manufacturing Company must decide whether to manufacture a component part at its plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in ten thousand of pesos): state of nature state of nature state of nature Decision Alternative Low Demand S1 Medium DEmand S2 High demand S3 Manufacture, d1 -100 200 500 Purchase, d2 50 225 350 The state-of-nature probabilities are P(s1 ) = 0.35, P(s2 ) = 0.35, and P(s3) = 0.30. a. Use a decision tree to recommend a decision b. Use EVPI to determine whether XY Manufacturing Company should attempt to obtain a better estimate of demand. c. What is the probability that the market research report will be favorable? A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (U) condition. The relevant conditional probabilities are as follows: P…

What combination of x and y will yield the optimum for this problem? Maximize Z = $3x + $15y Subject to: Multiple Choice x= 0, y=4 x= 0, y=3 x= 0, y=0 x= 2y=0 O x=1,y=25 2x + 4y ≤ 12 5x + 2y ≤ 10

A suburb of Dayton, Ohio, has four local dry cleaners that compete with each other on the basis of price and service speed. Each of them can perform the same basic services at the same level of quality. The following table provides the price that each dry cleaner charges to clean a two-piece suit, as well as the quoted number of days that the service will take. Dry Cleaner Price Number of Days A $ 8.00 3 B $ 9.50 3 C $ 9.00 2 D $ 7.50 4 Which of these dry cleaners are NOT on the efficient frontier?

Answer 2

Question

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

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Answer 3

Question

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

Expert Solution & Answer

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Answer 4

Question

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

Expert Solution & Answer

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Answer 5

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

Answer 6

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

Answer 7

Chapter 19, Problem 16P

a)

Summary Introduction

To determine: The marginal value of a pound of pine and the appropriate price range.

Introduction:

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.

Answer 8

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

Answer 9

b)

Summary Introduction

To determine: The maximum price the store would be justified in paying for the additional bark.

Answer 10

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

Answer 11

c)

Summary Introduction

To determine: The marginal value of labor and the range within which it is feasible.

Answer 12

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

Answer 13

d)

Summary Introduction

To determine: The additional machine time that can be used in this operation.

Answer 14

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

Answer 15

e)

Summary Introduction

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

Answer 16

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

Answer 17

f)

Summary Introduction

To determine: The change in decision variables if the profit on chips is changed.

Answer 18

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

Answer 19

g)

Summary Introduction

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

Answer 20

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

Answer 21

h)

Summary Introduction

To determine: The change in decision variables for the different changes made in the composition

Answer 22

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Ch. 19 - For which decision environment is linear...Ch. 19 - What is meant by the term feasible solution space?...Ch. 19 - Explain the term redundant constraint.Ch. 19 - Prob. 4DRQ Ch. 19 - Prob. 5DRQ Ch. 19 - Prob. 6DRQ Ch. 19 - Prob. 1P Ch. 19 - Prob. 2P Ch. 19 - Prob. 3P Ch. 19 - A small candy shop is preparing for the holiday...

Concept explainers

To determine: The maximum price the store would be justified in paying for the additional bark.

To determine: The marginal value of labor and the range within which it is feasible.

To determine: The additional machine time that can be used in this operation.

To determine: The manager’s choice if he can obtain either the additional pine bark or storage space.

To determine: The change in decision variables if the profit on chips is changed.

To determine: The change in decision variables when the profits is increased to $7 per bag for chips and decreased by $0.60 for nuggets.

To determine: The change in decision variables for the different changes made in the composition

Chapter 19 Solutions