Question: Each coffee table produced by Robert West Designers net the firm a profit of $9. Each bookcase yields a $12 profit. West'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 redwood.

Formulate West'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?