Use a graphing calculator or other technology to solve the following linear programming problem. Maximize z=37x₁ +34x2 +36x3 + 30×4 + 35x5 subject to: 16x₁ +19x2 +23x3 + 15×4 +21x5 ≤44,000 15x+10x2+19x3 +23x4 +10x5 ≤28,000 with 9x1 +16x2 +14x3 + 12x4 +11x5 ≤ 33,000 18x1 +20x2 + 15×3 +17x4 +19x5 ≤37,000 X20, 220, 30, 40, x5 20 The maximum is when x₁ = ☐, x2 = . x3 = ×4 = 0, x5 = , S₁ = 0, $2 = ☐, S3 = ☐, and S4 (Round to the nearest hundredth as needed.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
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Use a graphing calculator or other technology to solve the following linear programming problem.
Maximize
z=37x₁ +34x2 +36x3 + 30×4 + 35x5
subject to: 16x₁ +19x2 +23x3 + 15×4 +21x5 ≤44,000
15x+10x2+19x3 +23x4 +10x5 ≤28,000
with
9x1 +16x2 +14x3 + 12x4 +11x5 ≤ 33,000
18x1 +20x2 + 15×3 +17x4 +19x5 ≤37,000
X20, 220, 30, 40, x5 20
The maximum is
when x₁ = ☐, x2 = . x3 = ×4 = 0, x5 = , S₁ = 0, $2 = ☐, S3 = ☐, and S4
(Round to the nearest hundredth as needed.)
Transcribed Image Text:Use a graphing calculator or other technology to solve the following linear programming problem. Maximize z=37x₁ +34x2 +36x3 + 30×4 + 35x5 subject to: 16x₁ +19x2 +23x3 + 15×4 +21x5 ≤44,000 15x+10x2+19x3 +23x4 +10x5 ≤28,000 with 9x1 +16x2 +14x3 + 12x4 +11x5 ≤ 33,000 18x1 +20x2 + 15×3 +17x4 +19x5 ≤37,000 X20, 220, 30, 40, x5 20 The maximum is when x₁ = ☐, x2 = . x3 = ×4 = 0, x5 = , S₁ = 0, $2 = ☐, S3 = ☐, and S4 (Round to the nearest hundredth as needed.)
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