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Each coffee table produced by Kevin Watson Designers nets the firm a profit of $8. Each bookcase yields a $6 profit. Watson's firm is

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Each coffee table produced by Kevin Watson Designers nets the firm a profit of $8. Each bookcase yields a $6 profit. Watson's firm is small and its resources limited. During any given production period (of 1 week), 9 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. 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 16- 12- Objective function: Z = 8X+ 6 Y Subject to: 1X + 1Y S 9 (C) 1X + 2Y 12 (C2) X, Y 0 On the graph on right, constraints C and C2 have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places). 04 C1 C2 8 12 16 X

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