Problem $3-4($Algo$)$

Penny$$s Pies is a small specialty supplier to a national coffee$-$house chain. Penny$$s makes three types of pies $($apple$,$ cherry, and pecan$).$ Penny$$s operates $250$ days per year with a single eight$-$hour shift. Capacity is controlled by the number of production lines within the bakery $($a line consists of mixing equipment, rolling and cutting equipment, an oven, and packaging equipment$)$