Q.A portfolio manager is trying to balance investments between bonds, stocks and cash. The return on bonds is 9 percent, 12 percent on stocks, and 3 percent on cash. The total portfolio is $1 billion, and he or she must keep 10 percent in cash in accordance with company policy. The fund's prospectus promises that stocks cannot exceed 75 percent of the portfolio. Solve this investment decision as a linear programming problem. Download the Answer Report 9% 12% 3% Balance Totoal profit r S C Total Port $1billion Cash accord cant exceed Contraints 10% 75% of port 9% O x1 x2 12% B 3% LHS . . RHS 1,000,000,000 10% 75%

Practical Management Science
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Author:WINSTON, Wayne L.
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Q. A portfolio manager is trying to balance investments between bonds, stocks and cash.
The return on bonds is 9 percent, 12 percent on stocks, and 3 percent on cash. The total portfolio is $1 billion, and he or she must keep 10 percent in cash in accordance with company policy.
The fund's prospectus promises that stocks cannot exceed 75 percent of the portfolio.
Solve this investment decision as a linear programming problem. Download the Answer Report
9%
3
1
5
3
4
5 Balance
6
? Totoal profit
B
5
10
11
12
23
24
t
S
C
f
12%
Total Port $1billion
Cash accord
cant exceed
Contraints
3%
10%
75% of port
9%
O
S
xi
x2
x3
12%
C
B
S
3%
LHS
sign RHS
20
CE
1,000,000,000
10%
75%
Transcribed Image Text:Q. A portfolio manager is trying to balance investments between bonds, stocks and cash. The return on bonds is 9 percent, 12 percent on stocks, and 3 percent on cash. The total portfolio is $1 billion, and he or she must keep 10 percent in cash in accordance with company policy. The fund's prospectus promises that stocks cannot exceed 75 percent of the portfolio. Solve this investment decision as a linear programming problem. Download the Answer Report 9% 3 1 5 3 4 5 Balance 6 ? Totoal profit B 5 10 11 12 23 24 t S C f 12% Total Port $1billion Cash accord cant exceed Contraints 3% 10% 75% of port 9% O S xi x2 x3 12% C B S 3% LHS sign RHS 20 CE 1,000,000,000 10% 75%
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