# The owner of the Consolidated Machine Shop has $10,000 available to purchase a lathe, a press, a

## Question:

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, x_{1}; press, x_{2}; or grinder x_{3}) should be purchased in order to maximize annual profit:

maximize Z = 1,000x_{1} + 700x_{2} + 800x_{3} (profit, $)

subject to

$5,000x_{1} + 6,000x_{2} + 4,000x_{3} __<__ 10,000 (cost, $)

x_{1}, x_{2}, x_{3} = 0 or 1

Solve this model by using the computer.

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