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