State University must purchase 1100 computers from three vendors. Vendor 1 charges $500 per computer plus a total delivery charge of $5000. Vendor 2 charges $350 per computer plus a total delivery charge of $4000. Vendor 3 charges $250 per computer plus a total delivery charge of $6000. Vendor 1 will sell the university at most 500 computers, vendor 2, at most 900, and vendor 3, at most 400. The minimum order from any vendor is 200 computers. Determine how to minimize the cost of purchasing the needed computers.
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