Formulate a Linear Program for the following problem. On their farm, the Friendly family grows apples that they harvest each fall and make into three products – apple butter, apple sauce, and apple jelly – that they produce and sell in batches (of 5 gallons each). They sell these three items at local grocery stores and at craft fairs and festivals. Their three primary resources are cooking time in their kitchen, their own labor time, and the apples. They have a total of 320 cooking hours available, and it requires 2.8 hours to cook a batch of apple butter, 2.6 hours to cook a batch of apple sauce, and 3.4 hours to cook a batch of jelly. A batch of apple butter requires 1.2 hours of labor, a batch of apple sauce takes 1.5 hour, and a batch of jelly requires 1.3 hours. The Friendly family has 780 hours of labor available during the fall. They produce 7,800 apples each fall. A batch of apple butter requires 42 apples, a batch of apple sauce requires 58 apples, and a batch of jelly requires 46 apples. A batch of apple butter generates $115 in sales revenue, a batch of apple sauce generates sales revenue of $95, and a batch of jelly generates sales revenue of $85. The Friendly family wants to maximize their revenue.