Statistics - Maximizing Revenue
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3) A retired couple supplements their income by making fruit pies, which they sell to a local grocery store. During the month of September, they produced apple and grape pies. The apple pies are sold for $1.50 to the grocer, and the grape pies are sold for $1.20. The couple is able to sell all of the pies they produce. Flour and sugar are purchased once each month. For the month of September, they have 1,200 cups of sugar and 2,100 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 revenue if the couple working together can make an apple pie in 6 minutes and a grape pie in three minutes. They plan on working no more than 60 hours in September. What is the revenue?
b) Determine the amounts of sugar, flour, and time that will be unused.
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