(b) maximize subject to 1 + 2x2 x₁ x₁ + 2x₂ ≤ 6, x1 + 3x2 ≤ 12, X1 X1, X20

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 32E
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1. For each of the following programs:
(1) Sketch the feasible region of the program and the direction of the objective
function.
(2) Use you sketch to find an optimal solution to the program. State the optimal
solution give the objective value for this solution. If an optimal solution does
not exist, state why.
Transcribed Image Text:1. For each of the following programs: (1) Sketch the feasible region of the program and the direction of the objective function. (2) Use you sketch to find an optimal solution to the program. State the optimal solution give the objective value for this solution. If an optimal solution does not exist, state why.
(b)
maximize
subject to
₁ + 2x2
-x1 + 2x₂ ≤ 6,
³x₁ +3x₂ ≤ 12,
x1, x2 > 0
Transcribed Image Text:(b) maximize subject to ₁ + 2x2 -x1 + 2x₂ ≤ 6, ³x₁ +3x₂ ≤ 12, x1, x2 > 0
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