Whether the statement is true or false and give the reason for it. “If at least one of the coefficients a 1 , a 2 ,…, a n of the objective function P = a 1 x 1 + a 2 x 2 + ....... + a n x n is positive, then ( 0 , 0 , ...... , 0 ) cannot be the optimal solution of the standard (maximization) linear programming problem.”

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Answer 1

Question

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

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Answer 2

Question

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

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Answer 3

Question

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

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Answer 4

Question

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

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Answer 5

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

Answer 6

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

Answer 7

Chapter 4.1, Problem 52E

To determine

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 4.1 - Give the three characteristics of a standard...Ch. 4.1 - a. When the initial simplex tableau is set up, how...Ch. 4.1 - In the simplex method, how is a pivoted column...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-16, determine whether the given...

Solution Summary: The author explains that the given statement is false because the problem has a solution x=0,

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Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

Want to see the full answer?

Chapter 4 Solutions

Solution Summary: The author explains that the given statement is false because the problem has a solution x=0,

Videos

Whether the statement is true or false and give the reason for it. “If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”

Want to see the full answer?

Chapter 4 Solutions

Whether the statement is true or false and give the reason for it.

“If at least one of the coefficients a1, a2,…, an of the objective function P=a1x1+a2x2+.......+anxn is positive, then (0,0,......,0) cannot be the optimal solution of the standard (maximization) linear programming problem.”