High Tech, Inc. is producing two types of products: A and B$.$ Both are produced at the same sawing operation. Because of demand uncertainties, the operations manager obtained three demand forecasts $($pessimistic$,$ expected, and optimistic$).$ The demand forecasts, batch sizes $($units$/$batch$),$ processing times $($hr$/$unit$),$ and setup times $($hr$/$batch$)$ follow.

The sawing machines operate on two $8-$hour shifts, $5$ days per week, and $50$ weeks per year. The manager wants to maintain a $10$ percent capacity cushion.

Based on te above information, what is the minimum total number of hours required of sawing equipment for the next year?

Question $1$ options:

more than $105,000$ but less than $115,000$

more than $95,000$ but less than $105,000$

less than $85,000$ hours

more than $115,000$ hours

more than $85,000$ but less than $95,000$