Each coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Wests 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 Wests 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

For the problem above, what is the optimal solution?

a.

90

b.

72

c.

96

d.

98