An electronics company has developed a new hand-held device. The company predicts that the start-up cost to manufacture the new product will be $125,000, and the cost to make one device will be $6.50.

Question

A. If the company plans on selling the devices at a price of $9, write and solve an inequality to determine how many must be sold for the company to make a profit.
B. The cost of one device is 10% more than the company predicted. What is the new cost of making one device? How many devices must they now sell at the same price to make a profit?
C. Suppose the company wants to start making a profit after selling the same number of devices you found in part a. What is the lowest the new price can be? Explain how you found this price. HELP!!!!

Answer 1

The cost to make x items will be
c(x) = 125000+6.50x
So, for
(A) you want 9x >= 125000+6.50x

see what yo can do with the other parts.