The owner of the Consolidated Machine Shop has $10,000 available to purchase a lathe, a press, a
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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 = 1,000x1 + 700x2 + 800x3 (profit, $)
subject to
$5,000x1 + 6,000x2 + 4,000x3 < 10,000 (cost, $)
x1, x2, x3 = 0 or 1
Solve this model by using the computer.
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