Solve the given linear programming problem using the table method. Maximize subject to P = 7x1 + 6x2 3x1 + x2 ≤21 x1 + x2 ≤ 10 X1 + 2x2 ≤ 12 X1, X2 ≥0 Max P = 66 at x1 = 6, x2 = 4 Max P = 68 at x1 = 8, x2 = 2 Max P = 60 at x1 = 6, x2 = 3 Max P =65.5 at x1 = 5.5, x2 = 4.5

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 31E
icon
Related questions
Question
Solve the given linear programming problem using the table method.
Maximize
P = 7x1 + 6x2
subject to
3x1 + x2 ≤ 21
x1 + x2 ≤ 10
X1 + 2x2 ≤ 12
X1, X2 ≥0
Max P = 66 at x1 = 6, x2 = 4
Max P = 68 at x1 = 8, x2 = 2
Max P = 60 at x1 = 6, x2 = 3
==
Max P =65.5 at x1 = 5.5, x2 = 4.5
Transcribed Image Text:Solve the given linear programming problem using the table method. Maximize P = 7x1 + 6x2 subject to 3x1 + x2 ≤ 21 x1 + x2 ≤ 10 X1 + 2x2 ≤ 12 X1, X2 ≥0 Max P = 66 at x1 = 6, x2 = 4 Max P = 68 at x1 = 8, x2 = 2 Max P = 60 at x1 = 6, x2 = 3 == Max P =65.5 at x1 = 5.5, x2 = 4.5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning