A businessman is considering an investment project. The project has a lifetime of

four years, with cash flows of $-$$$100,000,+$$$50,000,+$$$70,000,$ and $+$$$30,000$

in each of the four years, respectively. At any time he may borrow funds at the

rates of $12\%,22\%,$ and $34\%($total$)$ for $1,2,$ or $3$ periods, respectively. He may

loan funds at $10\%$ per period. He calculates the present value of a project as

the maximum amount of money he would pay now, to another party, for the

project, assuming that he has no cash on hand and must borrow and lend to pay

the other party and operate the project while maintaining a nonnegative cash

balance after all debts are paid. Formulate the project valuation problem in a

linear programming framework. And describe the decision variables