The total cost to manufacture 145 refrigerators is $? The fixed costs are $? The cost to produce each additional refrigerator is $?

Question

A company manufactures small refrigerators. The total cost to manufacture 57 refrigerators is $6665. The total costs to manufacture 180 refrigerators is $18965. Assume that total cost, C, is linearly related to the number of refrigerators, x, the company manufactures and includes a fixed cost and a cost per refrigerator.

Answer 1

C(57) = 57r + FC = 6665

C(180) = 180r + FC =18965

180r -57r = 18965=6665

123r = 12300

r = $100 = cost of one refrigerator

FC = 6665-5700 = $965 = Fixed Cost