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###### (5 points). OPG has six new power plants planned for the future. The anticipated useful life...

(5 points). OPG has six new power plants planned for the future. The anticipated useful life of these plants is 30 years for the non-renewable energy plants (plants 1, 2 and 3) and 40 years for the renewable energy plants (plants 4, 5 and 6). Plants 1, 2 and 4 will be on line in year 5. Plants 3 and 5 in year 15. Plant 6 in year 25. The cost of installing generating capacity at plant i, discounted to the present, is ci per megawatt, for i 1; 2: ...6. Projected power demand in year t is Di megawatts, for 10; 20:30; 40: Due to environmental regulations, the fraction of generating capacity at non-renewable energy plants in year t, relative to total generating capacity of the six new plants in year t, can be at most r: for 10; 20: 30; 40. The generating capacity (MW) of each plant must be determined. Formulate a linear program that assigns capacities to the six plants so as to minimize total present cost of installing generating capacity, while meeting demand and satisfying the environmental constraints in years t 10:20: 30:40

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