A retired couple supplement their income by making fruit pies,which they sell to a local grocery store. During the month ofSeptember, they produce apple and grape pies. The apple pies aresold for $1.55 to the grocer, and the grape pies are sold for$1.20. The couple is able to sell all of the pies they produceowing to their high quality. They use fresh ingredients. Flour andsugar are purchased once each month. For the month of September,they have 1,240 cups of sugar and 1,890 cups of flour. Each applepie requires 1½ cups of sugar and 3 cups of flour, and each grapepie requires 2 cups of sugar and 3 cups of flour.
a. Determine the number of grape and the number ofapple pies that will maximize revenues if the couple workingtogether can make an apple pie in 7 minutes and a grape pie in 4minutes. Together, they plan to work no more than 55 hours.(Round your answers to nearest whole number. Omit the "$"sign in your response.)
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| Apple | | Pieces |
| Grape | | Pieces |
| Revenue | $ | |
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b. Determine the amounts of sugar, flour, and timethat will be unused. (Leave no cells blank - be certain toenter "0" wherever required. Round your intermediate calculationsand final answers to the nearest whole number.)
| | |
| Sugar | | cups |
| Flour | | cups |
| Time | | minutes |
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