2. [Model Formulation of Linear Programming - Finance] Eastern Alabama Trust invests in various types of securities. They have $5 million for immediate investment and wish to maximize the interest earned over the next year. Risk is not a factor. Four investment alternatives include Bonds, Stocks, Gold, and Land. The expected return for Bonds is 6%, Stocks 14%, Gold 10%, and Land 5%. The maximum amount to be invested for each alternative is $3 million for Bonds, $3 million for Stocks, $2 million for Gold, and $1 million for Land. To structure the portfolio, the Senior VP has specified at least 40% of the investment has to be in corporate bonds and common stock; and no more than 20% of the investment is to be in Land. The objective is to maximize the return. Formulate a linear model. (You do not have to solve this problem mathematically or using any software.)

(a) What are the Decision Variables?

(b) What is the Objective Function?

(c) What are Constraint Equations including non-negativity constraints?