Explanation Given: Minimize C = − 2 x + y subject to x + 2 y ≤ 6 3 x + 2 y ≤ 12 x ≥ 0 , y ≥ 0 Approach: To write minimization problem in maximization form use, P = − C . The conditions for maximization problem are, 1. In the standard maximization problem the objective function is to be maximized. 2. All variable involved in the problem should be non negative. 3. Each linear constraint may be written so that the expression involving the variables is less than or equal to a non negative constraint. 4. The optimal solution is reached when all the entries of bottom row of the simplex tableau are non negative. Given: Minimize C = − 2 x + y subject to x + 2 y ≤ 6 3 x + 2 y ≤ 12 x ≥ 0 , y ≥ 0 Calculation: Rewrite the given minimization problem in maximization form using P = − C . Maximize P = 2 x − y subject to x + 2 y ≤ 6 3 x + 2 y ≤ 12 x ≥ 0 , y ≥ 0 Introduce the slack variable u and v in the above linear programming problem,

WebAssign Printed Access Card for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th Edition, Single-Term

12th Edition

ISBN: 9781337652766

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 4.3, Problem 7E

To determine

To solve:

The given linear programming problem.

Minimize C=−2x+y

subject to x+2y≤6 3x+2y≤12 x≥0,y≥0

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Chapter 4.3, Problem 6E

Chapter 4.3, Problem 8E

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Chapter 4 Solutions

WebAssign Printed Access Card for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th Edition, Single-Term

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...

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The given linear programming problem. Minimize C = − 2 x + y subject to x + 2 y ≤ 6 3 x + 2 y ≤ 12 x ≥ 0 , y ≥ 0

Solution Summary: The author explains that the optimal solution for linear programming problem is x=4,y=0,C=-8.

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To solve:

The given linear programming problem.

Minimize C=−2x+y

subject to x+2y≤6 3x+2y≤12 x≥0,y≥0

Want to see the full answer?

Chapter 4 Solutions

The given linear programming problem. Minimize C = − 2 x + y subject to x + 2 y ≤ 6 3 x + 2 y ≤ 12 x ≥ 0 , y ≥ 0

Solution Summary: The author explains that the optimal solution for linear programming problem is x=4,y=0,C=-8.

Videos

To solve: The given linear programming problem. Minimize C=−2x+y subject to x+2y≤6 3x+2y≤12 x≥0,y≥0

Want to see the full answer?

Chapter 4 Solutions

To solve:

The given linear programming problem.

Minimize C=−2x+y

subject to x+2y≤6 3x+2y≤12 x≥0,y≥0