B.11 Each coffee table produced by Kevin Watson Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Watsons 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 Watsons 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?

What happens to profitability if you were to add 1 more gallon of varnish to the constraint.