The owner of the Consolidated Machine Shop has $10,000 available to purchase a lathe, a press, a grinder, or some combination thereof. The following 0–1 integer linear programming model has been developed to determine which of the three machines (lathe, x1, press, x2, or grinder, x3) should be purchased in order to maximize annual profit:Maximize Z = 1000x1 + 700x2 + 800x3 (profit, $)subject to:$5,000x1 + 6,000x2 + 4,000x3 ≤ 10,000 (cost, $)x1 , x2 , x3 = 0 or 11. Solve this model by using the computer.

A machine shop has $10,000 for new equipment. A 0-1 (binary) integer linear programming model has…

Answered: The owner of the Consolidated Machine…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The owner of the Consolidated Machine Shop has $10,000 available to purchase a lathe, a press, a grinder, or some combination thereof. The following 0–1 integer linear programming model has been developed to determine which of the three machines (lathe, x₁, press, x₂, or grinder, x₃) should be purchased in order to maximize annual profit:

Maximize Z = 1000x₁ + 700x₂ + 800x₃(profit, $)

subject to:

$5,000x₁+ 6,000x₂+ 4,000x₃ ≤ 10,000 (cost, $)

x_{1 ,}x_{2 ,}x₃= 0 or 1

1. Solve this model by using the computer.

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