Smalltime Investments Inc is going to purchase new computers for most of the employees. There are ten employees, and at least eight computers must be purchased
The cost of the basic personal computer with monitor and disk drive is $2,000, while the deluxe version with VGA and advanced processor is $3,500. Due to internal politics, the number of deluxe computers must be no more than half the number of regular computers, but at least three deluxe computers must be purchased. The budget is $27,000. Formulate this as an integer programming problem to maximize the number of computers purchased.
Let R = number of regular computers purchased
D = number of deluxe computers purchased
Maximize R + D
Subject to: 2000R + 3500D ? 27,000 (budget)
-0.5R + D ? 0 (political limitation)
D ? 3 (minimum # of deluxe)
R + D ? 8 (minimum # of computers)
all variables ? 0 and integer
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