22. Amro Mutual Fund has Rs 20 lakh available for investment in Government bonds, blue chips, speculative stocks, and gold. The expected annual return on these investments is given below:

The investment policy of Amro is:

(a) The amount of investment can in no case be more than Rs 20 lakh.

(b) Never invest more than 15 per cent of the funds in gold.

(c) Achieve a total return of at least Rs 2,50,000.

(d) Do not invest more than Rs 4 lakh in speculative stocks.
(

e) Invest at least Rs 3 lakh in Government bonds.

(f) Derive at least Rs 60,000 in capital gains.
Further, the current investment guidelines stipulate that (i) the total returns be considered twice as important as the investment ceiling in speculative stocks, (ii) investment limitation in speculative stocks and Government bonds is important as their respective returns, and (iii) the target of capital gains is one-fourth as important as the investment limitation in Government bonds.
Formulate the above problem as a goal programming problem.

Transcribed Image Text:

Investment Government bonds Blue chip stocks Speculative stocks Gold Expected Return 8% interest 7% dividend plus 5% capital gains 4% dividend plus 12% capital gains 14% capital gains