Each coffee table produced by Messing Designers nets the firm a profit of $10. E

Question

Each coffee table produced by Messing Designers nets the firm a profit of $10. Each bookcase yields an $8 profit. Meising's firm is small, and its resources are limited. During any given production period one week, 80 gallons of varnish and 50 lengths of high-quality redwood are available. Each coffee table requires approximately 4 gallon of varnish and 2 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood. Formulate Meising's production mix decision as a linear programming problem, and solve using the simplex method. How many tables and bookcases should be produced each week? What will the maximum profit be? X_1 = # of coffee table x_2 = # of bookcase Maximize Profit = subject to: $10x_1 + $8x_2 4x_1 + 1x_2 lessthanorequalto 80 (Varnish) 2x_1 + 2x_2 lessthanorequalto 50 (Wood) x_1, x_2 greaterthanorequalto 0

Explanation / Answer

X1 X2 18.33333 6.666667 10 8 Objective function 236.6667 Constraints X1 X2 coffee table 4 1 80 80

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