Hydroflask water bottles produces three products, large mouth, small mouth and mini mouth water bottles. The company currently has a shortage of machine hours since one of its two machines is down; only $360$ hours are available this month. The selling prices, costs, labor requirements, and demand for the three products are as follows:

$\backslash$table$[[,$Large Mouth,$($Product A$),\backslash$table$[[$Small Mouth$],[$B$)]],($Product$,\backslash$table$[[$Mini Mouth$],[($Product C$)]]],[$Sales price,,$$12\mathrm{.}50,$$$,5\mathrm{.}50,$$$15\mathrm{.}00$