You have been asked to put together a capacity plan for a critical operation at the Barefoot Sandal

Company. Your capacity measure needs to be expressed as the number of machines. Three products

$($men$\text{'}$s$,$ women's, and children's sandals$)$ are manufactured. The time standards $($processing and

setup$),$ lot sizes, and demand forecasts are given in the following table. The firm operates two $8-$

hour shifts, $5$ days per week, $50$ weeks per year. The company prefers to incorporate a capacity

cushion of $10$ percent. a$)$ How many machines are needed? $(3$ Points$)$

b$)$ After reviewing the demand forecast, the Sales Director feels that the above forecasts are too

optimistic and has revised the demand forecasts as shown below. Further, the Operations Manager

considers that a capacity cushion of $5$ percent will be sufficient. How many machines will the

company need? $(2$ points$)$