Each coffeetable produced by Robert West Designers nets the firm a profit of$15. Each bookcase yields a $12 profit. West's firm is smalland its resources limited. During any given production period (of 1week), 10 gallons of varnish and 12 lengths of high-quality redwoodare available. Each coffee table requires approximately 1 gallon ofvarnish and 1 length of redwood. Each bookcase takes 1 gallon ofvarnish and 2 lengths of wood. Formulate West'sproduction-mix decision as a linear programming problem, andsolve.
(a)How many tables should be produced each week?Round youranswer to the nearest whole number; forexample, 12 .
(b)How many book cases should be produced each week?Round youranswer to the nearest whole number; forexample, 12 .
(c)What will the maximum profit be?$Round your answer to the nearest whole number; forexample, 12 .