If there are any binding constraints. 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.

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Answer 1

Question

Chapter 19, Problem 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 value of decision variables when the profit on product 3 is changed.

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

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SUBJECT : OPERATION RESEARCH 1. When problem become unrestricted after changing primal to dual simplex Method justify your statement with valid example. 2. Solve the following problem after finding its dual. Min z = x1 - 3x2 + 3x3 s.t. 3x1 - x2 + 2 x3 ≤ 7 2x1 + 4x2 ≥ -12 -4x1 + 3x2 + 8x3 ≤ 10 x1, x2, x3 ≥ 0

Please answer the following in an organized way and showing steps. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements and available resources for each lot of pens are given in the following table: Fliptop Model Tiptop Model Available Plastic 3 4 36 Ink Assembly 5 4 40 Molding Time 5 2 30 The profit for either model is $1,000 per lot. a. What is the linear programming model for this problem? b. Using Microsoft Excel's Solver, find the optimal solution. How many Fliptop models and how many Tiptop models should be produced? What is the maximum profit? c. Will there be excess capacity in any resource? Use Excel's Solver and run a sensitivity report to answer the following questions: d. Over which range can the objective function coefficient for Fliptop Models change without affecting the original optimal solution? What is this range called? e. What is the shadow price (dual price) for the plastic constraint and how…

1. To find the optimal solution to a linear programming problem using the graphical method a. find the feasible point that is the farthest away from the origin. b. find the feasible point that is at the highest location. c. find the feasible point that is closest to the origin. d. None of the alternatives is correct. Let xij = the production of product i in period j. To specify that production of product 1 in period 3 and in period 4 differs by no more than 100 units, which of the following constraints are correct? P13 - P14 < 100; P14 - P13 < 100 (a) P13 - P14 < 100; P13 - P14 > 100 (b) P13 - P14 < 100; P14 - P13 > 100 (c) P13 - P14 > 100; P14 - P13 > 100 (d) 3. Whenever all the constraints in a linear program are expressed as equalities, the linear program is said to be written in a. standard form. b. bounded form. c. feasible form. d. alternative form.

Answer 2

Question

Chapter 19, Problem 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 value of decision variables when the profit on product 3 is changed.

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

Expert Solution & Answer

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Answer 3

Question

Chapter 19, Problem 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 value of decision variables when the profit on product 3 is changed.

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

Expert Solution & Answer

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Answer 4

Question

Chapter 19, Problem 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 value of decision variables when the profit on product 3 is changed.

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

Expert Solution & Answer

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Answer 5

Chapter 19, Problem 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 value of decision variables when the profit on product 3 is changed.

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

Answer 6

Chapter 19, Problem 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 15P

a)

Summary Introduction

To identify: If there are any binding constraints.

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 value of decision variables when the profit on product 3 is changed.

Answer 9

b)

Summary Introduction

To determine: The value of decision variables when the profit on product 3 is changed.

Answer 10

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

Answer 11

c)

Summary Introduction

To determine: The value of decision variables when the profit on product 1 is changed.

Answer 12

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

Answer 13

d)

Summary Introduction

To determine: The value of decision variables when labor hours are 10 hours less.

Answer 14

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

Answer 15

e)

Summary Introduction

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

Answer 16

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

Answer 17

f)

Summary Introduction

To determine: If the profit per each product increased by 1 will change the decision variables.

Answer 18

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Answer 19

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Answer 20

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Answer 21

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...

Solution Summary: The author explains how linear programming maximizes or minimizes a linear function taking into consideration the various constraints present in the problem.

Concept explainers

To determine: The value of decision variables when the profit on product 3 is changed.

To determine: The value of decision variables when the profit on product 1 is changed.

To determine: The value of decision variables when labor hours are 10 hours less.

To determine: The additional profit if the manager decides that 20 units of product 2 could be produced.

To determine: If the profit per each product increased by 1 will change the decision variables.

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Chapter 19 Solutions