Each coffee table produced by Kevin Watson Designers nets the firm a profit of $$8.$ Each bookcase yields a $$12$ profit.$$ Watson's firm is small and its resources limited$.$ During any given production period $($of $1$week$),9$ gallons of varnish and $14$ lengths of$$ high$-$quality redwood are available. Each coffee table requires approximately $1$ gallon of varnish and $1$ length of redwood. Each bookcase takes $1$ gallon of varnish and $2$ lengths of wood.