B.11 Each coffee table produced by Kevin Watson

Designers nets the firm a profit of $9. Each bookcase yields a $12

profit. Watson’s firm is small and its resources limited. During

any given production period (of 1 week), 10 gallons of varnish

and 12 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.

Formulate Watson’s production-mix decision as a linear

programming problem, and solve. How many tables and bookcases

should be produced each week? What will the maximum

profit be? PX