allies apples inc. purchases apples in bulk and sells two products, boxes of apples and jugs of cider. Ammies has capacity limitations of three kinds: warehouse space, crating facilities, and pressing facilities. A box of apples requires $6$ units of warehouse space, $2$ units of crating facilities, and $1$ unit of pressing facilities. A jug of cider requires $3$ units of warehouse space, $2$ units of crating facilities, and $1$ unit of pressing facilities. The total amounts available each day are $1,200$ units of warehouse space, $600$ units of crating facilities, and $250$ units of pressing facilities