dolution
dolution.
A company produces two products. Relevant information for each product is shown in Table 58. The company has a goal of $48 in profits and incurs a $1 penalty for each dollar it falls short of this goal. A total of 32 hours of labor are available. A $2 penalty is incurred for each hour of overtime (labor over 32 hours) used, and a $1 penalty is incurred for each hour of available labor that is unused. Marketing considerations require that at least 10 units of product 2 be produced. For each unit (of either product) by which production falls short of demand, a penalty of $5 is assessed.
a Formulate an LP that can be used to minimize the penalty incurred by the company.
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Order Paper Nowb Suppose the company sets (in order of importance) the following goals:
Goal 1 Avoid underutilization of labor.
Goal 2 Meet demand for product 1.
Goal 3 Meet demand for product 2.
Goal 4 Do not use any overtime.
Formulate and solve a preemptive goal programming model for this situation.
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