In: Math
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 $60 per hour to operate Plant A, $62 per hour to operate Plant H, and $100 per hour to operate Plant M. The company must produce at least 310 gallons of regular ice cream and at least 230 gallons of deluxe ice cream each day.
1. How many hours per day should each plant operate in order to
produce the required amounts of ice cream and minimize the cost of
production? (round to the nearest tenth as needed)
2. What is the minimum production cost? (round to the nearest cent
as needed)