On their farm, the Friendly family grows apples that theyharvest each fall and make into three products—apple butter,applesauce, and apple jelly. They sell these three items at severallocal grocery stores, at craft fairs in the region, and at theirown Friendly Farm Pumpkin Festival for 2 weeks in October. Theirthree primary resources are cooking time in their kitchen, theirown labor time, and the apples. They have a total of 500 cookinghours available, and it requires 3.5 hours to cook a 10-gallonbatch of apple butter, 5.2 hours to cook 10 gallons of applesauce,and 2.8 hours to cook 10 gallons of jelly. A 10-gallon batch ofapple butter requires 1.2 hours of labor, a batch of sauce takes0.8 hour, and a batch of jelly requires 1.5 hours. The Friendlyfamily has 240 hours of labor available during the fall. Theyproduce about 6,500 apples each fall. A batch of apple butterrequires 40 apples, a 10-gallon batch of applesauce requires 55apples, and a batch of jelly requires 20 apples. After the productsare canned, a batch of apple butter will generate $190 in salesrevenue, a batch of applesauce will generate a sales revenue of$170, and a batch of jelly will generate sales revenue of $155.The
