At the beginning of a month, a lady has Rs. 30,000 available in cash. She expects to receive certain revenues at the beginning of the months 1, 2, 3 and 4 and pay the bills after that, as detailed here:
Month Revenue Bills
1 Rs. 28,000 Rs. 36,000
2 Rs. 52,000 Rs. 31,000
3 Rs. 24,000 Rs. 40,000
4 Rs. 22,000 Rs. 20,000
It is given that any money left over may be invested for one month at the interest rate of 0.5%; for two months at 1.0% per month; for three months at 1.5% per month and for four months at 1.8% per month. Formulate her problem as linear programming problem to determine an investment strategy that maximizes cash in hand at the beginning of month 5.
Month Revenue Bills
1 Rs. 28,000 Rs. 36,000
2 Rs. 52,000 Rs. 31,000
3 Rs. 24,000 Rs. 40,000
4 Rs. 22,000 Rs. 20,000
It is given that any money left over may be invested for one month at the interest rate of 0.5%; for two months at 1.0% per month; for three months at 1.5% per month and for four months at 1.8% per month. Formulate her problem as linear programming problem to determine an investment strategy that maximizes cash in hand at the beginning of month 5.