Use this prompt for questions $7-10.$

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 generator 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 above table. The objective is to determine the minimum cost plan that meets the electrical needs for today.

This is a mixed binary integer programming problem because there are a total of

decision variables, J of which are binary and

are not.