A design$-$build$-$operate engineering company in Texas that owns a sizable amount of land

plans to lease the drilling rights $($oil and gas only$)$ to a mining and exploration company. The

contract calls for the mining company to pay $$20,000$ per year for $20$ years beginning $3$

years from now $($i$.$e$.,$ beginning at the end of year $3$ and continuing through year $22)$ plus

$$10,000$ six years from now and $$15,000$ sixteen years from now.

Utilize engineering economy relations to determine the five equivalent values listed below

$16\%$ per year.

Total present worth $P$ in year $0$

Future worth $F$ in year $22$

Annual series over all $22$ years

Annual series over the first $10$ years

Annual series over the last $126.$ Suppose that you have a savings plan covering the next ten years, according to which you put aside $$600$ today, $$800$ at the end of every year for the next five years, and $$2000$ at the end of each year for the remaining five years. As part of this plan, you expect to withdraw $$300$ at the end of every year for the first $3$ years, and $$350$ at the end of every year thereafter till the $10$th year. In addition to this you are expected to withdraw an amount of $$50$ at the end of every $2$ years till $15$th year. Assume interest to be $12\%.$

i$)$ Draw your cash flow diagram.

ii$)$ Find the amount accumulated in the saving a