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A Singapore company manufactures 50-inch and 75-inch rearprojection television sets. Each 50-inch set contributes $200 toprofits and each 75-inch set contributes $475 to profits. Thecompany has purchase commitments for 500 50-inch sets and 20075-inch sets for the next month so they want to make at least thatmany. Although they think they can sell all the 50-inch sets thatthey could currently make they do not think they can sell morethan 375 75-inch sets. Their factory capacity allows them to makeonly 975 sets of both sizes total. Formulate as a linearprogramming problem.