Sausage and Cheese Ltd. prepares three gift packages containing sausages and cheeses. The "Tasters," "Succulent," and "Gourmet" gift packages contain 3 sausages and 6 cheeses, 5 sausages and 4 cheeses, and 6 sausages and 5 cheeses, respectively. There are 2500 sausages and 3000 cheeses available for packing, and demand is unlimited. Profits are $2.50, $3.50, and $4.00 for the "Tasters," "Succulent," and "Gourmet" gift packages, respectively. The goal is to maximize profits. Let T, S, and G represent the number of gift packages produced of type "Tasters," "Succulent," and "Gourmet," respectively. What is the objective function for this linear program?
A) Max T + S + G
B) Max 2.5T + 3.5S + 4G
C) Min T + S + G
D) Max 10(T + S + G)
E) Max 9T + 9S + 11G

Question

Quizplus · Accepted Answer

The objective function for this linear program is to maximize profits, which are given as $2.50 for each "Tasters" gift package, $3.50 for each "Succulent" gift package, and $4.00 for each "Gourmet" gift package. Therefore, the objective function is Max 2.5T + 3.5S + 4G, where T, S, and G represent the number of gift packages produced of each type.