A retired couple supplement their income by making fruit pies, which they sell to a local grocery store.                  During the month of September, they produce apple and grape pies. The apple                 pies are sold for 2.00 to the grocer, and the grape pies are sold for 4.00. The couple is able                 to sell all of the pies they produce owing to their high quality. They use fresh ingredients.                 Flour and sugar are purchased once each month. For the month of September, they have 2100                 cups of sugar and 3000 cups of flour. Each apple pie requires 1 1/2 cups of sugar and 3 cups of flour,                 and each grape pie requires 2 cups of sugar and 3 cups of flour.                                   a. determine the number of grape and the number of apple pies that will maximize revenues if the                  couple working together can make and apple pie in 6 minutes and a grape pie in 3 minutes.                  They plan to work no more than 60 hours.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A retired couple supplement their income by making fruit pies, which they sell to a local grocery store.                 
During the month of September, they produce apple and grape pies. The apple                
pies are sold for 2.00 to the grocer, and the grape pies are sold for 4.00. The couple is able                
to sell all of the pies they produce owing to their high quality. They use fresh ingredients.                
Flour and sugar are purchased once each month. For the month of September, they have 2100                
cups of sugar and 3000 cups of flour. Each apple pie requires 1 1/2 cups of sugar and 3 cups of flour,                
and each grape pie requires 2 cups of sugar and 3 cups of flour.                
                 
a. determine the number of grape and the number of apple pies that will maximize revenues if the                 
couple working together can make and apple pie in 6 minutes and a grape pie in 3 minutes.                 
They plan to work no more than 60 hours.               

 

 

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