echnoLaser is deciding which machine to buy $($M$1$ or M$2).$ The products that the selected machine will produce and the forecasted demand are presented in the table below. Also, on the table, the processing time required for each product in each machine is shown. Processing time per unit $($minutes$)$ProductAnnual demandM$1$M$2$A$15,00096$B$20,00087($I$).$ How many machines of each type would be required to handle demand if machines will operate eight hours a day, $280$ days a year.$($II$).$ What annual capacity cushion in processing time would result for each?$*$Remember to round up the number of machines needed for $($I$).$ and $($II$).$ Select one:a$.($I$).$ M$1=3$ & M$2=2($II$).$ M$1=108,200$ minutes & M$2=38,800$ minutesb.$($I$).$ M$1=1$ & M$2=2($II$).$ M$1=120,000$ minutes & M$2=240,000$ minutesc.$($I$).$ M$1=2$ & M$2=1($II$).$ M$1=120,800$ minutes & M$2=38,800$ minutesd.$($I$).$ M$1=2$ & M$2=3($II$).$ M$1=180,200$ minutes & M$2=138,800$ minutes