ZipCar auto parts store has $88,000 to invest in a project to detect and reduce insier theft in their stores. They have considering investing in one of two alternatives, identified as Y and Z. Z is the higher first-cost alternative, and the incremental initial investment between the two is $54,000 and will exhibit a rate of return of 16% per year. Z requires an investment of $88,000. They expect a rate of return on the $88,000 investment of 43 percent.

Answer the following questions;

(a) what is the size of the investment required in Y?

(b) what is the rate of return on Y?