Formulate Watsons 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 profit be?

Each coffee table produced by Kevin Watson Designers nets the firm a profit of $8. Each bookcase yields a $15 profit. Watson's firm is small and its resources limited. During any given production period (of 1 week), 8 gallons of varnish and 14 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. The aim of the objective function for Kevin should be to maximize the objective value. Decision variables: X = number of coffee tables produced /week Y = number of bookcases produced / week Objective function: Z= 8 X+ 15 Y Subject to: 1X + 1Y 8 1X + 2Y s 14 (C2) (C) X,Y 20 On the graph on right, constraints C, and C, have been plotted. Using the point drawing tool, plot all the corner points for the feasible area