A linear programming computer package is needed.

and $150$ women's models to be shipped during the second month. Additional data are shown.

would 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 satisfies the labor$-$smoothing, demand, and inventory 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 model in month $1$

women's model in monch $1$

men's model in month $2$

women's model in month $2$

Total Cost

bicydes

bicydes

birydes

bicydes

How much will the cost increase?