A company produces regular and deluxe ice cream at three plants. Per hour of operation, Plant A produces 20 gallons of
regular ice cream and 10 gallons of deluxe ice cream. Plant H produces 10 gallons of regular ice cream and 20 gallons of
deluxe ice cream, and Plant M produces 20 gallons of regular and 20 gallons of deluxe. It costs $70 per hour to operate
Plant A, $72 per hour to operate Plant H, and $120 per hour to operate Plant M. The company must produce at least
460 gallons of regular ice cream and at least 450 gallons of deluxe ice cream each day. How many hours per day should each plant operate in order to produce the required amount of ice cream and minimize the cost of production?
