A firm is evaluating an investment proposal to instal new milling machines. The project requires an initial investment of R

$50000$

$.$

$$The equipment has a lifespan of

$5$

$$years and no salvage value. The company operates under a tax rate of

$55$

$\%$

$$and utilizes straight line depreciation. The estimated annual profits before depreciation from the investment are as follows: Year

$1$

:

$10000$

$,$

$$Year

$2$

:

$11000$

$,$

$$Year

$3$

:

$14000$

$,$

$$Year

$5$

:

$15000$

$$and year

$5$

$$R

$25000$

$.$

$$Compute the payback period and the Net Present Value at

$10$

$\%$

$$discount rate, profit after tax for each year and the cash inflow for each year.