$[-/20$ Points$]$

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ASWMSCI$154.$E$\mathrm{.}019.$

A linear programming computer package is needed. $150$ women's models to be shipped during the second month. Additional data are shown.

$\backslash$table$[[$Model$,$Production Costs,Labor Requirements $($hours$),$Current Inventory$],[$Manufacturing$,$Assembly$],[$Men$\text{'}$s$,$$$120,2\mathrm{.}0,1\mathrm{.}5,20],[$Women$\text{'}$s$,$$$90,1\mathrm{.}6,1\mathrm{.}0,30]]$

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?

What are the monthly labor requirements?

previous month

hrs

month $1$

hrs

month $2$

hrs

$($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 $1$ blcycles

women's model in month $1$ bloycles

men's model in month $2$ bicycles

women's model in month $2$ blcycles

Total cost

How much will the cost increase?

$