Question:

Your portfolio manager has suggested the following three companies for investment purposes: Epsilon NanoTech,Zeta Functions, and Delta Derivatives. Epsilon NanoTech shares cost $28 per share, Zeta Functions shares cost $12 per share, and Delta Derivatives shares cost $12 per share. You have

$2,532 to invest, wish to hold 4/10 the number of Zeta Functions shares as Delta Derivatives shares, and (for reasons too complicated to explain) a total of 179 shares.

How many shares of each company should you buy?