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QUESTION

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...

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 apples and grape pies. The apple pies are sold for $1.30 to the grocer, and the grape pies are sold for $1.05 . 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 1100 cups of sugar and 1750 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 grapes and the number of apple pies that will maximize revenues if the couple working together can make an apple pie in 4 minutes and a grape pie in 2 minutes . Together , they plan to work no more than 45 hours.

Apple?

Grape?

Revenue ?

b.) Determine the amounts of sugar, flour and time that will be unused ?

Sugar?

Flour?

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