Problem:
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, suppose that this problem requires that you use all the varnish for the week. How would the linear programming representation change?
a. 1B + 1T <= 10 will become 1B + 1T <= 12
b. 1B + 1T <= 10 will be replaced by 1B + 1T >= 10
c. 2B + 1T <= 12 will become 2B + 1T = 12
d. 1B + 1T <= 10 will become 1B + 1T = 10
e. None of the above
Can you help me get started with this assignment?