Problem 19-5 (Algo) 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 2,400 cups of sugar and 3,300 cups of flour. Each apple pie requires 1½ 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 an apple pie in 6 minutes and a grape pie in 3 minutes. They plan to work no more than 60 hours. (Round your answers to nearest whole number.) Apple Grape Revenue Pies Pies b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations and final answers to the nearest whole number.)

PREALGEBRA
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ISBN:9781938168994
Author:OpenStax
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Chapter9: Math Models And Geometry
Section9.2: Solve Money Applications
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Problem 19-5 (Algo)
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 2,400 cups of sugar and 3,300 cups of flour. Each apple pie
requires 1½ 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 an apple pie in 6 minutes and a grape pie in 3 minutes. They plan to
work no more than 60 hours. (Round your answers to nearest whole number.)
Apple
Grape
Revenue
Pies
Pies
b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain
to enter "0" wherever required. Round your intermediate calculations and final answers to the nearest
whole number.)
Sugar
Flour
Time
50 cups
0 cups
0 minutes
Transcribed Image Text:Problem 19-5 (Algo) 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 2,400 cups of sugar and 3,300 cups of flour. Each apple pie requires 1½ 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 an apple pie in 6 minutes and a grape pie in 3 minutes. They plan to work no more than 60 hours. (Round your answers to nearest whole number.) Apple Grape Revenue Pies Pies b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations and final answers to the nearest whole number.) Sugar Flour Time 50 cups 0 cups 0 minutes
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