A linear programming computer package is needed

like to have at least $25$ units of each model in inventory at the end of the two months. Only integer amounts of bicycles can be produced.

$($a$)$ Establish a production schedule that minimizes production and inventory costs and satisfles the labor$-$smoothing, demand, and inventory requirements

What inventories will be maintained?

Inventory Schedule

men's model in month $1$

bicycles

women's model in month $1$

bicycles

men's model in month $2$

bicycles

women's model in month $2$

bicycles

What are the monthly labor requirements?

$($b$)$ If the company changed the constraints so that monthly labor increases and decreases could not exceed $50$ hours, what would happen to the production schedule?

men's madel in month $1$

bigycles

women's model in month $1$

bicycles

men's model in month $2$

bicycles

women's model in month $2$

bicycles

Total Cost

How much will the cost increase?