Problem 3 (10 points): 7-16 from the book An electrical utility needs to generat

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Problem 3 (10 points): 7-16 from the book An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators. If any electricity is generated by a given generator, that generated must be started up and a fixed start-up cost is incurred. There is an additional cost for each megawatt generated by a generator. These costs, as well as the maximum capacity of each generator, are shown in the following table. The objective is to determine the minimum cost plan that meets the electrical needs for today. Generator Fixed Startup Cost $3,000 $2,000 $2,500 $1,500 $1,000 $4 Cost per Megawatt-hour $ $6 $6 $7 Maximum Capacity (MW) 2100 1800 2500 1500 3000 Formulate a mixed-integer programming model for the above problem by defining you decision variables and writing the objective and objective function and the constraints in terms of your decision variables. Combine everything to get the final model.

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