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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 55SE: Your roommate, Sarah, offered to buy groceries for you and your other roommate. The total bill was...

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