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 $90 per hour to operate Plant M. The company must produce at least 340 gallons of regular ice cream and at least 210 gallons of deluxe ice cream each day. CHE 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 any answer boxes within your choice. OA. 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.) OB. There is no optimal solution.

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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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How many hours per day should each plant operate in order to produce the required amount of ice cream in a minimize the cost of production?

What is the minimum production cost?

6.3 10

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 $90 per hour to operate Plant M. The company must produce at least 340 gallons of
regular ice cream and at least 210 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 any answer boxes within your choice.
O A. 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.)
OB. There is no optimal solution.
Transcribed Image Text: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 $90 per hour to operate Plant M. The company must produce at least 340 gallons of regular ice cream and at least 210 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 any answer boxes within your choice. O A. 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.) OB. There is no optimal solution.
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