LP$\mathrm{.}02$ Each coffee table produced by Kevin Watson Designers nets the firm a profit of $9$ dollars. Each bookcase yields $11$ dollars profit. Watson's firm is small and its resources limited$.$ During any given production period $($of $1$ week$),8$ gallons of varnish and $14$ lengths of high$-$quality redwood are available. Each coffee table requires approximately $2\mathrm{.}5$ gallons of varnish and $2\mathrm{.}5$ lengths of redwood. Each bookcase requires $0\mathrm{.}5$ gallons of varnish and $3\mathrm{.}5$ lengths of wood.