Question $1($Chapter # $10)$: An automobile$-$manufacturing company is considering purchasing an industrial robot to do spot welding, which is currently done by skilled labor. The initial cost of the robot is $$300,000,$ and the annual labor savings are projected to be $$130,000.$ If purchased, the robot will be depreciated under MACRS as a five$-$year recovery property. The robot will be used for seven years, at the end of which time, the firm expects to sell it for $$65,000.$ The company's marginal tax rate is $40\%$ over the project period. Perform the following:

a$)$ Determine the net after$-$tax cash flows for each period over the project life.

b$)$ Net present worth assuming company MARR $=15\%.$

c$)$ IRR of the project.