Kyle, Stan, and Eric have created a new app that enables someone to point a
smartphone at a person's face while he or she is talking and tell you the
probability that he or she is lying. They originally spent \(\$ 80,000\) to
develop and patent the app. They could sell the patent to a large firm for \(\$
1,000,000\) and get out of the business, but it would take them a year to
arrange the sale. Currently, they are selling the app themselves, charging the
profit-maximizing price of \(\$ 10\) per download and selling 1,000 downloads
per year. The only actual payment they make to run the business is a flat \(\$
200\) per month \((\$ 2,400 \text { per year })\) to an Internet service
provider. The interest rate in the economy - which they could earn on
alternative investments-is \(5 \%\) per year.
a. What is the annual accounting profit of their business?
b. What is the annual economic profit of their business?
c. Based on the information given in the problem, what is the marginal cost of
selling another download?
d. Based on the answers above, should Kyle, Stan, and Eric continue to run the
business in the short run (the next few months)?
e. Based on the answers above, and assuming economic and accounting profit
remain unchanged in the long run, should Kyle, Stan, and Eric continue to run
the business in the long run (the next few years)?
f. One day Kyle thinks he's discovered that demand for their apps is elastic
over the entire price range from \(\$ 15\) to \(\$ 5\) per download. If Kyle is
correct, should they keep the price at \(\$ 10 ?\) Lower it? Raise it? Explain
your answer briefly.