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 length 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.
T = number of tables produced each week
B = number of bookcases produced each week
Referring to the above mentioned problem, if we were to frame this as a linear programming problem, the objective function would be
a. minimize 10T + 10B
b. maximize 9B + 12T
c. maximize 9T + 12B
d. maximize 12T + 10B
e. none of the above
Can you help me get started with this assignment?
This post discusses how to determine the objective function for maximizing total profits and provides the answer.