Explanation Given Information: The provided constraints inequalities are 3 x 1 + x 2 + x 3 ≤ 9 2 x 1 + x 2 + 3 x 3 ≤ 8 2 x 1 + x 2 ≤ 5 . Formula used: In the constraints inequality, if the sign is ≤ then the slack variable will be added left side and the ≤ sign will be converted to = . In the constraints inequality, if the sign is ≥ then the slack variable will be subtracted left side and the ≥ sign will be converted to = . Calculation: Consider the constraints inequality 3 x 1 + x 2 + x 3 ≤ 9 2 x 1 + x 2 + 3 x 3 ≤ 8 2 x 1 + x 2 ≤ 5 . Since the sign in all the constraints inequalities is ≤ . Therefore, the slack variables will be added left side of the inequality and the sign ≤ will be converted into = . The inequality 3 x 1 + x 2 + x 3 ≤ 9 becomes 3 x 1 + x 2 + x 3 + s 1 = 9 . The inequality 2 x 1 + x 2 + 3 x 3 ≤ 8 becomes 2 x 1 + x 2 + 3 x 3 + s 2 = 8 . The inequality 2 x 1 + x 2 ≤ 5 becomes 2 x 1 + x 2 + s 3 = 5 . Now rewrite the objective function f = 2 x 1 + 5 x 2 + x 3 as − 2 x 1 − 5 x 2 − x 3 + f = 0

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 4.3, Problem 2CP

To determine

To calculate: The simplex matrix to maximize the function f=2x1+5x2+x3 subject to the constraints:

3x1+x2+x3≤92x1+x2+3x3≤82x1+x2≤5

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.3, Problem 1CP

Chapter 4.3, Problem 3CP

Students have asked these similar questions

Solve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6

MATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991

88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165

Chapter 4 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The simplex matrix to maximize the function f = 2 x 1 + 5 x 2 + x 3 subject to the constraints: 3 x 1 + x 2 + x 3 ≤ 9 2 x 1 + x 2 + 3 x 3 ≤ 8 2 x 1 + x 2 ≤ 5

Solution Summary: The author calculates the simplex matrix to maximize the function f=2x_1+5

Videos

To calculate: The simplex matrix to maximize the function f=2x1+5x2+x3 subject to the constraints:

3x1+x2+x3≤92x1+x2+3x3≤82x1+x2≤5

Want to see the full answer?

Chapter 4 Solutions

The simplex matrix to maximize the function f = 2 x 1 + 5 x 2 + x 3 subject to the constraints: 3 x 1 + x 2 + x 3 ≤ 9 2 x 1 + x 2 + 3 x 3 ≤ 8 2 x 1 + x 2 ≤ 5

Solution Summary: The author calculates the simplex matrix to maximize the function f=2x_1+5

Videos

To calculate: The simplex matrix to maximize the function f=2x1+5x2+x3 subject to the constraints: 3x1+x2+x3≤92x1+x2+3x3≤82x1+x2≤5

Want to see the full answer?

Chapter 4 Solutions

To calculate: The simplex matrix to maximize the function f=2x1+5x2+x3 subject to the constraints:

3x1+x2+x3≤92x1+x2+3x3≤82x1+x2≤5