Johnny's Apple Shop Sells Home-Made Apple Pies and Freshly Squeezed

Essay

Johnny's apple shop sells home-made apple pies and freshly squeezed apple juice.Each apple pie requires 2 apples,and 1 apple yields 4 ounces of juice.Customer's use a self-service dispenser to pour apple juice in a container and are charged by the ounce at a rate of $0.50 per ounce.The contribution to profit of the apple pie,factoring in the apples and remaining ingredients are $2 per pie,and the contribution to profit of freshly squeezed apple juice if $0.20 per ounce.In a given day,there must be at least 100 ounces of apple juice produced and at least 10 apple pies.The company has a supply of 60 apples per day.Formulate this problem as a mixed integer program.Apple pies must be produced in whole quantities,but any positive value is positive for juice production.