Problem 3: A woman has $100,000 to invest. She has decided to invest all of it by purchasing
some shares of stock in each of four companies: a fast-food chain that sells for $50 per share
and has an expected growth of 11.5% per year, a software company that sells for $40 per share
and has an expected growth of 15% per year, a pharmaceutical company that sells for $80 per
share and has an expected growth of 10% per year, and an oil company that sells for $150 per
share and has an expected growth of 12% per year. The amount invested in fast-food stock is
$37,000 more than the amount invested in oil company stock. Additionally, she wishes to
purchase twice as many shares of fast-food stock than pharmaceutical company stock. If her
goal is 12% growth per year, how many shares of each stock should she buy?
