$($b$)$ A manager must decide which type of machine to buy, $A,B,$ or C $.$ Machine costs are as follows:

Product forecasts and processing times on the machines are as follows:

i$.$ The hourly operating cost of the machines A is $$10,$ B machines have an hourly operating cost of

$$8,$ and C machines have an hourly operating cost of $$9.$ Considering the machine costs $($costs of

the machines are for one year each$)$ and hourly operating costs, which alternative would be

selected, and how many machines, to minimize total cost while satisfying capacity processing

requirements? Assume machines operate $12$ hours a day, $250$ days a year.

ii$.$ Assume machines operate $14$ hours a day and $300$ days a year then what will be the choice in

question $($i$)$