A cash flow profile starts with $2,000 and increases by $1,000 each year up to $21,000 at time 20. Then, it starts again with $21,000 at time 21 and decreases by $1,000 each year to $2,000 at year 40. You desire to convert itto an equivalent gradient series beginning at year 1 with $X and continuingthrough year 40 with $500 increases each year (ending at $X + 19,500 at time40). Interest is 8% compounded annually. What is X?

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Cash Flow in Engineering Economics (Interest and Equivalence)

The cash flows of a firm are of two categories such as cash inflows and cash outflows. Cash inflow is the money or income entering a firm during a specific period whereas cash outflow is the money exiting a firm during a specific period in the form of the expenses incurred by the firm. In other words, we can say that cash flow is a series of expenses and credits that run over the project over the lifetime it existed whereas cash inflows are all the income and gains the company earns as a result of its operations.