Write a profit formula for this mixture problem: A company manufactures patio chairs (x) and rockers (y). Each piece is made of wood, plastic, and aluminum. A chair requires one unit of wood, one unit of plastic, and two units of aluminum. A rocker requires one unit of wood, two units of plastic, and five units of aluminum. The company's profit on a chair is $7 and on a rocker is $12. The company has available 400 units of wood, 500 units of plastic, and 1450 units of aluminum.
A) P = 400x + 500y + 1450z
B) P = 4x + 8y
C) P = 7x + 12y
D) P = 1x + 2y + 5z

Question

Quizplus · Accepted Answer

The profit formula should be based on the profit made by each type of furniture. The profit on each chair is $7 and the profit on each rocker is $12. Therefore, the profit formula should be P = 7x + 12y, where x is the number of chairs produced and y is the number of rockers produced. The formula should not include the units of wood, plastic, and aluminum as these are the resources used in production and not directly related to profit.

Write a Profit Formula for This Mixture Problem: a Company