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 apple and grape pies. The apple pies are sold for $1.40 to the grocer, and the grape pies are sold for $1.25. 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 1,150 cups of sugar and 1,800 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 8 minutes and a grape pie in 2 minutes. Together, they plan to work no more than 45 hours. (Round your answers to nearest whole number. Omit the "$" sign in your response.)

Apple		Pieces
Grape		Pieces
Revenue	$

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		cups
Flour		cups
Time		minutes

Answer 1

Below is the screenshot of the LP table -

Below is the screenshot of the formula applied -

Below is th screenshot of the solver -

Below is the screenshot of the result -

a.

From above -

Apple Pie = 250 units

Grape Pir = 350 units

Revenue = 787.50

b.

From LP -

Unused Flour = 0

Unused Sugar = 75 cups

Unused time = 0 minutes