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 constraint describing the sausage capacity?
A) 2.5T + 3.5S + 4G ≤ 2500
B) 3T + 5S + 6G ≥ 2500
C) 9T + 9S + 11G ≤ 2500
D) 0.8333T + 1.9444S + 2.1818G ≤ 2500
E) 3T + 5S + 6G ≤ 2500

Question

Quizplus · Accepted Answer

The constraint for the sausage capacity is determined by the number of sausages used in each type of gift package. The "Tasters" package uses 3 sausages, the "Succulent" package uses 5 sausages, and the "Gourmet" package uses 6 sausages. Therefore, the constraint for the total number of sausages used (given that there are 2500 sausages available) is 3T + 5S + 6G ≤ 2500.