Dafoe, The Lone Entrepreneur is a very ambitious man.
He wants to make $1000 in the shortest amount of time!
He starts out with $0 but is currently receiving $5 per day and he can purchase the following shops at any given time:
1-Shack. Cost: $10 Income: $5/day
2-Mall. Cost $25 Income $15/day
3-Shopping Center. Cost $150 Income $150/day
The money is always paid in at night and Dafoe can purchase as many new shops as his money allows in the mornings.
What would be the best sequence of shops to be purchased to to have a balance of $1000 on hand?
How many days would that take?
Money spent comes out of his balance and so is no longer part of the needed total balance of $1000.
(In reply to re(4): Now we have a problem(?)
I guess it all depends on whether you start counting at 1 or 0 and morning or evening. I believe that if as you say "Before the morning of Day 1 he collects $5" then he is not starting with $0. He needs to own a shack/mall/shopping centre for a day to get the profits from that day. (rather than rent in advance as you suggest)
Otherwise he could have $0 but own 7 shopping centes on the evening of day 0 - giving him $1050 on day 1.
Perhaps the author could clarify his intent.