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 $3.00 to the grocer, and the grape pies are sold for $2.70. 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 1,800 cups of sugar and 2,700 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 140 Pies Grape 120 Pies Revenue b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain to enter "O" wherever required. Round your intermediate calculations and final answers to the nearest whole number.) Sugar cups Flour cups Time minutes
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 $3.00 to the grocer, and the grape pies are sold for $2.70. 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 1,800 cups of sugar and 2,700 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 140 Pies Grape 120 Pies Revenue b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain to enter "O" wherever required. Round your intermediate calculations and final answers to the nearest whole number.) Sugar cups Flour cups Time minutes
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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 $3.00 to the grocer, and the grape pies are sold for $2.70. 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 1,800 cups of sugar and 2,700 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
140 Pies
Grape
120 Pies
Revenue
b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain to enter "O" wherever
required. Round your intermediate calculations and final answers to the nearest whole number.)
Sugar
cups
Flour
cups
Time
minutes
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