Problem $8$: A facility has boilers described as follows. Under operation, each boiler can produce steam according

to the following quantities.

The steam which is produced by each boiler is subsequently fed into one or more of three turbines. Under operation,

each turbine can process steam according to the values below.

At this moment, the facility is unsure which boilers and which turbines should be operated. That is$,$ it is not

required that all turbines and$/$or boilers be agtive. Construct an integer program to minimize the total cost

associated with generating $8000$ Kwh of power.