Formulate a linear program for this problem. 2) A hydroelectric dam needs to schedule how much power to produce in each of the next 24 hours. The demand in megawatts (MW) in hour t = 1, ..., 24 is dị. The power plant must produce at least the demand for each hour, but can produce more at a cost of K dollars per excess MW. For engineering reasons (can't open/close waterways too fast), after hour 1 the production in any given hour must be within 10 MW of the previous hour's production. For example, producing 25 MW in hour 3 means in hour 4 we have to produce between 15 and 35 MW. Finally, the combined production over 24 hours cannot exceed the reservoir capacity R. Please note that d, K, R are parameters, i.e. known values.

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Formulate a linear program for this problem.
2)
A hydroelectric dam needs to schedule how much power to produce in each of the next 24 hours.
The demand in megawatts (MW) in hour t = 1, ..., 24 is dị. The power plant must produce at
least the demand for each hour, but can produce more at a cost of K dollars per excess MW.
For engineering reasons (can't open/close waterways too fast), after hour 1 the production in any
given hour must be within 10 MW of the previous hour's production. For example, producing 25
MW in hour 3 means in hour 4 we have to produce between 15 and 35 MW. Finally, the combined
production over 24 hours cannot exceed the reservoir capacity R. Please note that d, K, R are
parameters, i.e. known values.
Transcribed Image Text:Formulate a linear program for this problem. 2) A hydroelectric dam needs to schedule how much power to produce in each of the next 24 hours. The demand in megawatts (MW) in hour t = 1, ..., 24 is dị. The power plant must produce at least the demand for each hour, but can produce more at a cost of K dollars per excess MW. For engineering reasons (can't open/close waterways too fast), after hour 1 the production in any given hour must be within 10 MW of the previous hour's production. For example, producing 25 MW in hour 3 means in hour 4 we have to produce between 15 and 35 MW. Finally, the combined production over 24 hours cannot exceed the reservoir capacity R. Please note that d, K, R are parameters, i.e. known values.
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