JR produces two types of Tablets (10.1” and 8”), each of which must go through three workstations

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JR produces two types of Tablets (10.1” and 8”), each of which must go through three workstations: manufacturing, assembly, and quality control. The amount of time required on each type of Table, in each of the workstation, is given in the following table.

Model Manufacturing Assembly Quality Control
10.1” 11 minutes 4 minutes 1.5 minutes
8” 15 minutes 2 minutes 2.5minutes

JR employs 15 workers, who each work 7.5 hours/day. Of these, 2400 man-minutes per day have been allocated to manufacturing, 3100 to assembly, and 1250 to quality control. Accounting has stated that the cost of each Manufacturing minute is $7.50, each Assembly minute $4.25, and each Quality Control minute $15, for a 10.1” type. For the 8” type, the costs are $7.75, $3, and $18. If JR sells for $299 the 8” type and $349 the 10.1” types, what should be the optimal daily production schedule.

 

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