I need help with the following Finance exercise:

Madison Manufacturing is considering a new machine that costs $350,000.00 and would reduce pre-tax manufacturing costs by $110,000.00 annually. Madison would use the 3 year-year MACRS method to depreciate the machine, and management thinks the machine would have a value of $33,000.00, at the end of its 5 year operating life. The applicable depreciation rates are 33.33%, 44.45%, 14.81%, and 7.42%. Working capital would increase by $35,000 initially, but it would be recovered at the end of the project's 5-year life. Madison's marginal tax rate is 40% and a 10% WACC is appropiate for the project.

a. Calculate the project's NPV, IRR, MIRR, and payback.

b. Assume management is insure about the $110,000.00 cost savings - this figure could deviate by as much as plus or minus 20%. What would the NPV be under each of these extremes?

c. Suppose the CFO wants you to do a scenario analysis with different values for the cost savings, the machine's salvage value, and the working capital (WC) requirement. She asks you to use the following probabilities and values in the scenario analysis:

Scenario Probability Cost savings Salvage value WC

Worst case 0.35 $88,000 $28,000 $40,000

Base case 0.35 110,000 33,000 35,000

Best case 0.30 132,000 38,000 30,000

Calculate the project's expected NPV, its standard deviation, and its coefficient of variation. Would you recommend that the project be accepted?