Consider a manufacturing facility that produces five different products using four machines. The time available on the machines is limited$.$ The machine processing requirements $($in hours$)$ are shown for each product in the Table. The unit profits as well as total hours the machine is available are also shown. The manager wishes to formulate an LP to solve this problem. If you are hired to help the manager, what is the Linear Programming model that you will formulate?MachineProcessing requirements $($hours per unit$)$ Total hours available Product $1$ Product $2$ Product $3$ Product $4$ Product $511\mathrm{.}21\mathrm{.}30\mathrm{.}700\mathrm{.}516020\mathrm{.}72\mathrm{.}21\mathrm{.}60\mathrm{.}51\mathrm{.}020030\mathrm{.}90\mathrm{.}71\mathrm{.}31\mathrm{.}00\mathrm{.}812041\mathrm{.}42\mathrm{.}80\mathrm{.}51\mathrm{.}20\mathrm{.}6280$Unit profit $($$$)1825101215$