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 book-cases should be produced each week? What will the maximum profitbe?
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