Please help with this practice problem I have been having some difficulty with for parts a, b and c. Thank you in advance!

Consider the following capital budgeting problem. The following two ma- chines are mutually exclusive and the firm would keep reinvesting in what- ever machine it buys. Machine A would be reinvested every 4 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 0 -80 1 50 2 50 3 50 4. 25 Machine B -100 60 60 60 3.a 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. 3.b Suppose A fits current technology, whereas machine B needs a one-time re- tooling for the company. These one-off installation costs would be $10,000 today. What is the optimal investment decision now? 3.c 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. note: at each point in time one and only one machine should be producing positive cashflows. Cash flows for the old machine are: Year Cashflow 1 50 2 20 3 0 When should they stop using the old machine