$05\mathrm{.}4In$ problem $1\mathrm{.}6,$ one $of$ the possible strategies $isas$ follows:

Smoke all $400$ bellies $on$ regular time.

Smoke $20$ pienics $on$ regular time and $210on$ overtime.

Smoke $40$ hams $on$ overtime and sell $440$ fresh.

Use Theorem $5\mathrm{.}3to$ find out whether this strategy $is$ optimal $or$ not. $\frac{?}{{?}_{\frac{?}{?}}1\mathrm{.}6}[Adapted$ from Greene $etal.(1959).]$ A meat packing plant produces $480$ hams, $400$ pork

bellies, and $230$ picnic hams every day; each $of$ these products can $be$ sold either fresh $or$

smoked. The total number $of$ hams, bellies, and picnics that can $be$ smoked during a normal

working day $is420$ ; $in$ addition, $upto250$ products can $be$ smoked $on$ overtime $at$ a higher

$cost.$ The net profits are $as$ follows:

For example, the following schedule yields a total net profit $of$ $$9,965$ :

The objective $isto$ find the schedule that maximizes the total net profit. Formulate $asan$

$LP$ problem $in$ the standard form.