The Investment Club at AT&T has obtained $50,000 from its members.

For possible investments, the members have selected 4 stocks, EAL, TAT, a bond fund, and a tax-deferred annuity wih projected returns shown below.

EAL Stock TAT Stock Bond Fund Annuity

15% 9% 8% 6%

The club members have decided on the following conditions for investment:

1. All $50,000 is to be invested.

2. At least $12,000 is to be invested in the bond fund.

3. Amount invested in the TAT stock should be at least 40% of the total funds invested.

4. The amount invested in bonds should be at least as much as the amount invested in the stocks.

The Club would like to use linear programming model to to figure out how much to invest in each place to maximize the total projected annual return.

Let E = amount of $ invested in EAL stock

T = amount of $ invested in TAT stock

B = amount of $ invested in the Bond fund

A = amount of $ invested in the Annuity

Using these variable names, type the following below.

(a) Objective function to maximize

(b) Constraint for condition (1)

(c) Constraint for condition (2)

(d) Constraint for condition (3)