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 $1.60 to the grocer, and the grape pies are sold for $1.30. 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 1,230 cups of sugar and 1,880 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 5 minutes and a grape pie in 3 minutes. Together, they plan to work no more than 50 hours. Apple Pieces Grape ?? Pieces ?? Revenue $ ???

b. Determine the amounts of sugar, flour, and time that will be unused. Sugar ??? Flour ?? Time ???minutes

Answer 1

Given thal Tho apple pes ou sold. Thanape pres on seld In september we have 1 230 total floun (gso Each opple neguine I suspn and 3 floun cups a). A cuord ing to given dafa a netined couple con do can do 50 hours They woning toogtnc. con make ama in SMǐn Con Ma for 1 hr =12-a Poles l e kewise can ma are in tor İhr.-a。20 grapes in 5ohr (2x56u Apnde, can produ produce 6so pna e Total suara to egaene t、proda Suagn s 330 and So yespeclivet thay prodl end GIs grafas Mauimum thay pro

So n case unosed o s o","35, and 19.25hr uon, floun and time aue and so flouy. ,~ Alfo cav produce make 615 grapes in 3-P5 hY, left of 19, 2skr . and 35 cares of floaYC lest of 1.25 , のflour ond time un used b). Toteamonrn in cose C Goo Annke) Tha nused su 330 Cupes flourso co in case CGLS Gianas time = 19-25.