Each Coffee Table Produced By Kevin Watson Designers Nets The Firm A Profit Of 10 Each Bookcase Yields A 15 Profit W 1 (39.38 KiB) Viewed 30 times
Each Coffee Table Produced By Kevin Watson Designers Nets The Firm A Profit Of 10 Each Bookcase Yields A 15 Profit W 2 (13.66 KiB) Viewed 30 times
Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $15 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 Objective function: Z= 10 X + 15 Y Subject to: (C₁) (C₂) 1X+1Y 1X + 2Y S9 S 12
15 hd Z 10 X 15 Y Subject to: (C₁) 1X+1Y 1X+2Y 12 (₂) 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. The optimum solution is: x-round your response to two decimal places) $9 12
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