Question: 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

Each coffee table produced by Robert West

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, 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. How many tables and bookcases should be produced each week? What will the maximum profit be? Use X = number of coffee tables to be produced y = number of bookcases to be produced Which objective function best represents the problem? O a P= X + 2 Y Ob P= 10 X + 12 Y O c. P= 9 X + 12 Y O d. P= X + Y

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