Write a profit formula for this mixture problem: A small stereo manufacturer makes a receiver (x) and a CD player (y). Each receiver takes eight hours to assemble, one hour to test and ship, and earns a profit of $30. Each CD player takes 15 hours to assemble, two hours to test and ship, and earns a profit of $50. There are 160 hours available in the assembly department and 22 hours available in the testing and shipping department.
A) P = 8x + 1y
B) P = 160x + 22y
C) P = 15x + 2y
D) P = 30x + 50y

Question

Quizplus · Accepted Answer

The profit formula should take into account the profit earned from each unit and the amount of time required to produce and ship them. Therefore, the correct formula would be:
P = (30x + 50y) - [(8x + 1y) + (15x + 2y)]
Simplifying it further, we get:
P = 7x + 48y
This formula maximizes profit by taking into account the limited time available in both the assembly and testing/shipping departments. Therefore, choice D is the best option.

Write a Profit Formula for This Mixture Problem: a Small