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Q2 Linear Programming
Suppose your company sells 4 different kinds of pies, Apple Pies, Banana Pies, Cherry Pies, and Danish Pies, where each Apple Pie sells for $8, each Banana Pie sells for $9, each Cherry Pie sells for $7, and each Danish Pie sells for $10. Further, suppose to make these pies, each must be processed on 2 different machines in your factory and each takes a different amount of time on the two machines. Specifically, to make one Apple Pie requires 1 hour on machine #1 and 2 hours on machine #2. To make one Banana Pie requires 2 hours on machine #1 and 3 hours on machine #2. To make one Cherry Pie requires 2 hours on machine #1 and 1 hour on machine #2. And to make one Danish Pie requires 1 hour on machine #1 and 0.5 hours on machine #2. Finally, suppose there can be no more than a total of 150 hours of processing time on machine number 1 and no more than a total of 175 hours of processing time on machine number 2. Management has asked for your recommendation about how many of each product type to produce that maximizes revenue.
Question:
a) How much of each product do you recommend be produced that you believe maximizes revenue?
b) How much revenue would be made if they followed your recommendation?
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