Donna Domini has inherited $100,000 from her favorite uncles and needs to determine how to invest the money in order to maximize her annual return.

 Donna Domini has inherited $100,000 from her favorite uncles and needs to determine how to invest the money in order to maximize her annual return. She has narrowed her choices to the 5 bonds shown in the table below.

Bond

Annual Return

Maturity

Risk

A

9.5%

Long

High

B

8.0%

Short

Low

C

9.0%

Long

Low

D

9.0%

Long

High

E

9.0%

Short

High

Donna wants to invest at least 50% of the money in short-term bonds and no more than 40% in high risk bonds.

Write the linear programming formulation to determine how much Donna should invest in each bond.