A company produces regular and deluxe ice cream at three plants. Per hour of ope

Question

A company produces regular and deluxe ice cream at three plants. Per hour of operation, Plant A produces 40 gallons of regular ice cream and 20 gallons of deluxe ice cream. Plant H produces 20 gallons of regular ice cream and 40 gallons of deluxe ice cream, and Plant M produces 40 gallons of regular and 40 gallons of deluxe. It costs $70 per hour to operate Plant A, $94 per hour to operate Plant H, and $140 per hour to operate Plant M. The company must produce at least 360 gallons of regular ice cream and at least 330 gallons of deluxe ice cream each day. To minimize the cost of production, Plant A should operate for ___ hours per day, Plant H should operate for ___ hours per day, and Plant M should operate for ______ hours per day. (Round to the nearest tenth as needed.)

Explanation / Answer

A linear programming problem is mathematically formulated as follows: A linear function to be maximized or minimized e.g. maximize c1 x1 + c2 x2 Problem constraints of the following form e.g. a11 x1 + a12 x2

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