1. (20 points) Shapiros Bakery produces two kinds of cheesecake. Relevant information for each product is...

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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. h 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. 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. h 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.

Answer rating: 100% (QA)

Goal program is formulated as below Let X and Y be the number of plain X and strawberry Y cheesecake... View the full answer