1. (20 points) Shapiros Bakery produces two kinds of cheesecake. Relevant information for each product is shown below. Plain Cheesecake Strawberry Cheesecake Labor required 5 hours 4 hours Contribution to profit $5 $3 The bakery has the following goals: Goal 1: To realize $75 in profits and incur a $5 penalty for each dollar it falls short of this goal. Goal 2: A total of 35 hours of labor are available. A $4 penalty is incurred for each hour of overtime (labor over 32 hours) used, and a $3 penalty is incurred for each hour of available labor that goes unused. Goal 3: Marketing considerations require that at least 9 plain cheesecakes of product 1 be produced. For each cheesecake by which production falls short of demand, a penalty of $2 is assessed. Goal 4: Marketing considerations require that at least 10 strawberry cheesecakes be produced. For each unit by which production falls short of demand, a penalty of $1 is assessed. Formulate and solve a goal program that can be used to minimize the total penalty incurred by the bakery