Question: it is goal programming with weights method, please show all work (LP + full consttaints) thanks Company X produces two types of PRODUCTS. Type I

it is goal programming with weights method, please show all work (LP + full consttaints) thanks it is goal programming with weights method,
Company X produces two types of PRODUCTS. Type I requires twice as much labor as a Type II. Type I takes c minutes per unit. x1 x - The respective market demand for the two products are 150 and 200 units per day. The company desires to reach these minimum goals in every day. x1x2 - The maximum market demand for the two products are 350 and 250 units per day. The company should never make more than what is needed. - The profit is $8 per Type I and $5 per Type II. The desired revenue per day is $1000. - The company should produce at least 100 units/day (type 1+ type 2) to remain in the market. They cannot violate this requirement. - The company has beriours available every day (regular hours), however they can have overtime for up to A hours as well (If necessary). - The company prefers to spend equal amount of time on all types of product every day. Develop a reasonable mathematical model that can determine the number of products of each type. Then rank all goals, and finally use Weight Method (use your own reasonable weights) to develop the objective function

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