Linear Programming Problem

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.

I'm too compromised right now to do this.

Whoa, this program seems to need … nesting. Graphically, there might be more than two dimensions.

I'd like to play with it, conduct some experiments, refresh my memory, but I need to confirm that (1) all interest is simple interest, (2) Rs. just means rupees, and (3) my enthusiasm remains, when I come back here.



Oh, btw, what do you know about anything related to this exercise? Can you make any beginning statements at all?