Solve the given linear programming problem using the table method. The table of basic solutions is provided. Maximize P=15x1+6 subject to x1+x2≤6 x1+4x2≤12 x1, x2≥0 x1 x2 s1 s2 Feasible? 0 0 6 12 Yes 0 6 0 −12 No 0 3 3 0 Yes 6 0 0 6 Yes 12 0 −6 0 No 4 2 0 0 Yes

Solve the given linear programming problem using the table method. The table of basic solutions is provided. Maximize P=15x1+6 subject to x1+x2≤6 x1+4x2≤12 x1, x2≥0 x1 x2 s1 s2 Feasible? 0 0 6 12 Yes 0 6 0 −12 No 0 3 3 0 Yes 6 0 0 6 Yes 12 0 −6 0 No 4 2 0 0 Yes

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section6.6: Linear Programming

Problem 6E

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Question

Solve the given linear programming problem using the table method. The table of basic solutions is provided.

Maximize P=15x1+6

subject to x1+x2≤6

x1+4x2≤12

x1, x2≥0

x1 x2 s1 s2 Feasible?

0 0 6 12 Yes

0 6 0 −12 No

0 3 3 0 Yes

6 0 0 6 Yes

12 0 −6 0 No

4 2 0 0 Yes

Select the correct choice below and, if necessary, fill in the answer boxes within your choice.

The function is maximized when x1=enter your response here, x2=enter your response here s1=enter your response here, and s2=enter your response here, where P=enter your response here.

(Simplify your answers.)

The system has no solution.

Expert Solution