State University must purchase 1,100 computers from three vendors. Vendor 1 charges $500 per computer plus a delivery charge of $5,000. Vendor 2 charges $350 per computer pluse a delivery charge of $4,000. Vendor 3 chargest $250 per computer pluse a delivery charge of $6,000. Vendor 1 will sell the university at most 500 computers; vendor 2 at most 900; and vendor 3 at most 400. Formulate an IP to minimize the cost of purchasing the needed computers.

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.