(See Solution) Portfolio Allocation Investment Advisors, Inc is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio
Question: Portfolio Allocation
Investment Advisors, Inc is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of U.S. Oil and H shares of Huber Steel. The table below summarizes the annual return per share, price per share and risk index per share for the two stocks.
| Annual Return Per Share | Price Per Share | Risk Index Per Share | |
| U = U.S. Oil | $3/share | $25 | 0.25 |
| H = Huber Steel | $5 | $50 | 0.50 |
Managers are faced with the following constraints. They can invest up to $80,000 in the portfolio. The portfolio risk index must not exceed 700, and they are limited to a maximum of 1000 shares in U.S. Oil.
- Formulate the LP model for this problem as a standard minimization or maximization problem.
- Find the optimal solution of the problem using an LP software like Management Scientist.
- Which constraint(s) are binding? Which constraints are non-binding?
- Would it be beneficial to relax the constraint on purchases of U.S. Oil? Why or why not?
Deliverable: Word Document 