LINEAR OPTIMIZATION MODELS $10.$ The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor$-$Hours Required $($hours$/$unit$)$ Department Product $1$ Product $2$ Hours Available $1000\mathrm{.}3036500\mathrm{.}205030\mathrm{.}0000$ Profi Contribution$/$uA a$.$ Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quanticies of products $1$ and $25$ Round Tree Manor is a hotel that provides two types of toos with Earee rental classes: Super Saver Deluxe, and Business The prefit per night for each Evpe ofoom and renal class is as follows: