The objective function and the constraints in linear inequality for the provided linear programming problem.

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Answer 1

Question

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

(b)

To determine

The optimal solution to the provided linear programming problem.

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

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Answer 2

Question

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

(b)

To determine

The optimal solution to the provided linear programming problem.

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

Expert Solution & Answer

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Answer 3

Question

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

(b)

To determine

The optimal solution to the provided linear programming problem.

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

(b)

To determine

The optimal solution to the provided linear programming problem.

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

(b)

To determine

The optimal solution to the provided linear programming problem.

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

Answer 6

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

Answer 7

Chapter 3, Problem 4EA

(a)

To determine

The objective function and the constraints in linear inequality for the provided linear programming problem.

Answer 8

(b)

To determine

The optimal solution to the provided linear programming problem.

Answer 9

(b)

To determine

The optimal solution to the provided linear programming problem.

Answer 10

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

Answer 11

(c)

To determine

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

Answer 12

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

Answer 13

(d)

To determine

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

Answer 14

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

Answer 15

(e)

To determine

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

Answer 16

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

Answer 17

(f)

To determine

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

Ch. 3.1 - Graph each linear inequality. x + y 2 Ch. 3.1 - Graph each linear inequality. y x + 1 Ch. 3.1 - Graph each linear inequality. x 2 y Ch. 3.1 - Graph each linear inequality. y x 3 Ch. 3.1 - Graph each linear inequality. 4x y 6 Ch. 3.1 - Graph each linear inequality. 4y + x 6 Ch. 3.1 - Graph each linear inequality. 7. 4x + y 8 Ch. 3.1 - Graph each linear inequality. 2x y 2 Ch. 3.1 - Graph each linear inequality. x + 3y 2 Ch. 3.1 - Graph each linear inequality. 2x + 3y 6

The objective function and the constraints in linear inequality for the provided linear programming problem.

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The objective function and the constraints in linear inequality for the provided linear programming problem.

The optimal solution to the provided linear programming problem.

The new optimal solution to the linear programming problem if the right hand side of the second constraint increases from $72 to $81.

Shadow profit for the optimal solution when the right-hand side of the second constraint increases from $72 to $81.

The smallest increase in the coefficient of the variable x in the objective function such that the optimal solution of the original linear programming problem has a positive value of x.

The smallest increase in the coefficient of the variable y in the cost constraint such that the optimal solution of the original linear programming problem has a positive value of x.

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Chapter 3 Solutions