Explanation: The table for a maximization problem is given below. z x 1 x 2 x 3 x 4 x 5 ...

Question

Want to see the full answer?

Answer 1

Expert Solution & Answer

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Find the voltage V0 across the 4K resistor using the mesh method or nodal analysis. Note: I have already simulated it and the value it should give is -1.714V

Resolver por superposicion

Describe three (3) Multiplexing techniques common for fiber optic links

Answer 2

Expert Solution & Answer

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Expert Solution & Answer

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Expert Solution & Answer

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Answer 8

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Answer 9

Chapter 4, Problem 17RP

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Answer 10

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Answer 11

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Answer 12

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Answer 13

Explanation of Solution

b.

Explanation:

The current solution is optimal and there are alternative optimal solutions, the conditions on the unknown that makes this statement true are b≥0 and c=0.

This is because if x₁ has a zero coefficient in the optimal tableau’s row 0, then the pivot that enters x₁ into the basis does not change row zero.

So all the variables in row zero have positive coefficients...

Answer 14

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Answer 15

Explanation of Solution

c.

Explanation:

An unbounded LP for a maximization problem occurs when a variable with a negative coefficient in row zero has non positive coefficient in each constraint.

So an LP is unbounded if there exists points in feasible region for which z assumes arbitrarily large values for a maximization problem and arbitrarily small values for a minimization problem...

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 19

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.4 - Prob. 1P Ch. 4.4 - Prob. 2P Ch. 4.4 - Prob. 3P Ch. 4.4 - Prob. 4P Ch. 4.4 - Prob. 5P Ch. 4.4 - Prob. 6P Ch. 4.4 - Prob. 7P

Explanation: The table for a maximization problem is given below. z x 1 x 2 x 3 x 4 x 5 ...

Solution Summary: The author explains that an unbounded LP for a maximization problem occurs if there exists points in feasible region for which z assumes arbitrarily large values.

Concept explainers

Explanation of Solution

Explanation:

The table for a maximization problem is given below.

z x₁ x₂ x₃ x₄ x₅ ...

Explanation of Solution

a.

Explanation:

For the current solution to be optimal, all the non basic variables in row zero have non negative coefficients, so this implies, -c≥0...

Explanation of Solution

Explanation of Solution

Want to see the full answer?

Chapter 4 Solutions

Explanation: The table for a maximization problem is given below. z x 1 x 2 x 3 x 4 x 5 ...

Solution Summary: The author explains that an unbounded LP for a maximization problem occurs if there exists points in feasible region for which z assumes arbitrarily large values.

Concept explainers

Explanation of Solution