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 each 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 $60 per hour to operate plant A, $92.00 per hour to operate Plant H, and $110 hour to operate Plant M. The company must produce at least 250 gallons of regular ice cream and at least 350 gallons of deluxe ice cream each day. 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? Select the correct choice below and fill in the blanks. 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.) There is no optimal solution. What is the minimum production cost? Select the correct choice and fill in the blanks. The minimum production cost is $___. There is no minimum production cost.
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 each 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 $60 per hour to operate plant A, $92.00 per hour to operate Plant H, and $110 hour to operate Plant M. The company must produce at least 250 gallons of regular ice cream and at least 350 gallons of deluxe ice cream each day.
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? Select the correct choice below and fill in the blanks.
- 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.)
- There is no optimal solution.
What is the minimum production cost? Select the correct choice and fill in the blanks.
- The minimum production cost is $___.
- There is no minimum production cost.
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