Question

Homework: 6.3 Save Score: 0 of 1 pt 8 of 9 (4 complete) v HW Score: 44.44%, 4 of 9 pts 6.3.49-BE Question Help 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, $91 per hour to operate Plant H, and $130 per hour to operate Plant M. The company must produce at least 400 gallons of regular ice cream and at least 260 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. hours per day, Plant H should operate for hours per day, and Plant M should operate for hours per day. O A. To minimize the cost of production, Plant A should operate for (Round to the nearest tenth as needed.) OB. There is no optimal solution.

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ANS: A. To minimize the cost of produestions, plant A should operate for 24 hours per day, plant it should operate fore II hours pen droge, and plant m should operare for 0 hours per day pustification: to De needs to operate those plant whose cost pere hour is less as well as produces more gallon in a day to optimize the cost of production. Hence, we need to chose plant-A on 1st priority, as the cost pere open ating hour is lower than all plant, and we must produce Regulare ice cream on 1 1st priority and then the remaining hour will be Utilise for delune ice cream, as the number of

2 is higher galon_production - 1.0f regular ile cream than de lune ice cream. further more, we will chose plant H on 2nd priority and plant-m on 3rd priority to produce further remaining gallons of ice cream. Plast Hour 20 IN : fore production of regulan ice cream ( 400 Gal?on/20 garion per hour) Gry for production of deluxe ice cream (yo gabion 10 gallon per hour) totar hour of plant ina doy I AT 29 Крил Iw for production of deluxe ice cream (220 gallon) 20 gallon per noun) Total hour of plant in a day 11 hour