2. Activity Time Each coffee table produced by Robert West Designers nets 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 wood.
Formulate West’s production-mix decision as a linear programming problem, and solve. NOTE: This problem must be solved using one of the following methods; Graphically, Corner-point Method, or Simplex Method. You must show all of your work for any credit on this problem.
a. How many tables and bookcases should be produced each week?
b. What will the maximum profit be?
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