A company has contracted to produce two products, A and B$,$ over the months of June, July, and August. The total production capacity $($expressed in hours$)$ varies monthly. The following table provides the basic data of the situation: June July August Demand for A $($units$)5005000750$ Demand for B $($units$)100012001200$ Capacity $($hours$)300035003000$ The production rates in units per hour are $\mathrm{.}75$ and $1$ for products A and B$,$ respectively. All demand must be met. However, demand for a later month may be filled from the production in an earlier one. For any carryover from one month to the next, holding costs of $$\mathrm{.}90$ and $$\mathrm{.}75$ per unit