A particular firm considers a project to invest \(\$ 100,000\) in new equipment
that will last about 5 years before it has to be replaced. At the time of
replacement the scrap value of the equipment is expected to be zero. The
demand for goods produced with the new equipment is expected to be about 2000
items per year. The present price of one item is \(\$ 30\), but is expected to
increase by \(6 \%\) each year, due to inflation. The present cost (or expense
to the producer) is \(\$ 20\), but is expected to rise by \(5 \%\) each year. When
the firm is confronted with a rate of interest of \(8 \%\) if it borrows the
funds to invest in the project at present, should it invest? Also, evaluate
this project when the rate of interest for borrowing is \(6 \%\) and \(10 \%\),
respectively. Take year-end prices.