Write a profit formula for this mixture problem: Kim and Lynn produce pottery vases (x) and bowls (y). A vase requires 35 oz of clay and 5 oz of glaze. A bowl requires 20 oz of clay and 10 oz of glaze. There are 500 oz of clay available and 200 oz of glaze available. The profit on one vase is $5 and the profit on one bowl is $4.
A) P = 500x + 200y
B) P = 35x + 20y
C) P = 5x + 4y
D) P = 5x + 10y

Question

Quizplus · Accepted Answer

The profit formula for this mixture problem should represent the total profit that Kim and Lynn can earn from producing x number of vases and y number of bowls. Since the profit on one vase is $5 and the profit on one bowl is $4, the total profit earned from x vases and y bowls can be represented as 5x + 4y. Therefore, the correct profit formula is P = 5x + 4y. The other answer choices are not correct as they do not take into account the profit earned from producing both vases and bowls.

Write a Profit Formula for This Mixture Problem: Kim and Lynn