Table 8-3
Each coffee table produced by Timothy Kent Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Kent's firm is small and its resources limited. During any given production period (of 1 week), 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.
-Referring to Table 8-3, if we were to frame this as a linear programming problem, the objective function would be:
A) Maximize 9B + 12T.
B) Maximize 9T + 12B.
C) Minimize 10T + 10B.
D) Maximize 12T + 10B.
E) None of the above

Question

Table 8-3
Each coffee table produced by Timothy Kent Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Kent's firm is small and its resources limited. During any given production period (of 1 week), 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. 
-Referring to Table 8-3, if we were to frame this as a linear programming problem, the objective function would be:
A) Maximize 9B + 12T. 
B) Maximize 9T + 12B. 
C) Minimize 10T + 10B. 
D) Maximize 12T + 10B. 
E) None of the above

Quizplus · Accepted Answer

The objective function represents the profit to be maximized. Each coffee table yields a profit of $9 and each bookcase yields a profit of $12, so the objective function is Maximize 9T + 12B, where T represents the number of coffee tables produced and B represents the number of bookcases produced.

Table 8-3 Each Coffee Table Produced by Timothy Kent Designers Nets the Nets