jmc

Question

A company that sells widgets has to pay 1000 in one-time equipment fees and then it costs 0.50 for each widget it makes. It sells widgets at a price of 2.75$ per widget. What is the least number of widgets the company has to sell in order to make a profit?

Accepted Answer

We look for the least number of widgets n such that the cost is less than the revenue. align* 1000+.5n&<2.75n 1000&<2.25n 444.4=10002.25&<n. align*The smallest integer greater than 444.4 is 445, so the company has to sell at least 445 widgets to make a profit.