Was having difficulty with this practice problem set. Could you please help and show your work? Will be sure to leave a review! Thank you so much!

Consider the following capital budgeting problem. The following two machines are mutually exclusive and the firm would keep reinvesting in whatever machine it buys. Machine A would be reinvested every 5 years, machine B every 3 years. The cash flows associated with each machine are tabulated as follows; all numbers are in thousand dollars; the relevant discount rate is 10% for both machines. Year Machine A Machine B 0 -70 -90 1 40 55 2 40 55 3 40 55 4 40 5 40 a) (8 points) Which of the two machines is the better investment project? Analyze the question under the assumption that whatever machine the company buys has to be reinvested in perpetuity. b) (4 points) Suppose B fits current technology, whereas machine A needs a one-time retooling for the company. These one-off installation costs would be $30,000 today. What is the optimal investment decision now? c) **(3 points) Suppose the firm has an old machine in place that would serve for another two years. They can postpone investing in either machine A or B and keep using this machine. When should they invest in the new machine? (note: ignore the one-off installation costs mentioned in part b)) Cash flows for the old machine are: Year Cashflow 1 7 2 30 3 30 4 20