Project A requires an original investment of $$55,100.$ The project will yield cash flows of $$15,000$ per year for $4$ years. Project B has a computed net present value of $$3,300$ over a $4-$year life. Project A could be sold at the end of $4$ years for $$19,600.$

Following is a table for the present value of $$1$ at compound interest:

Year $6\%10\%12\%$

$10\mathrm{.}9430\mathrm{.}9090\mathrm{.}893$

$20\mathrm{.}8900\mathrm{.}8260\mathrm{.}797$

$30\mathrm{.}8400\mathrm{.}7510\mathrm{.}712$

$40\mathrm{.}7920\mathrm{.}6830\mathrm{.}636$

$50\mathrm{.}7470\mathrm{.}6210\mathrm{.}567$

Following is a table for the present value of an annuity of $$1$ at compound interest:

Year $6\%10\%12\%$

$10\mathrm{.}9430\mathrm{.}9090\mathrm{.}893$

$21\mathrm{.}8331\mathrm{.}7361\mathrm{.}690$

$32\mathrm{.}6732\mathrm{.}4872\mathrm{.}402$

$43\mathrm{.}4653\mathrm{.}1703\mathrm{.}037$

$54\mathrm{.}2123\mathrm{.}7913\mathrm{.}605$

Use the tables above.

a$.$ Determine the net present value of Project A over a $4-$year life with salvage value assuming a minimum rate of return of $12\%.$ Round your answer to two decimal places.

fill in the blank $1$ of $1$$

b$.$ Which project provides the greatest net present value? Answer ASAP