A bicycle manufacturer currently produces 380,000 units a year and expects output levels to remain steady in the future. It buys chains from an outside supplier at a price of $2.10 a chain. The plant manager believes that it would be cheaper to make these chains rather than buy them. Direct in-house production costs are estimated to be only $1.50 per chain. The necessary machinery would cost $271,000 and would be obsolete after 10 years. This investment could be depreciated to zero for tax purposes using a 10-year straight-line depre- ciation schedule. The plant manager estimates that the operation would require $56,000 of inventory and other working capital upfront (year 0), but argues that this sum can be ig- nored because it is recoverable at the end of the 10 years. Expected proceeds from scrapping the machinery after 10 years are $20,325. If the company pays tax at a rate of 20% and the opportunity cost of capital is 15%, what is the net present value of the decision to produce the chains in-house instead of purchasing them from the supplier? (See next page for Questions) (a) Buying (i) Find the the annual FCF (Free Cash Flows) of buying the chains for years 1 to 10. (ii) Find the NPV of buying the chains from the FCF. (b) Producing (i) Find the initial FCF (Free Cash Flow) of producing the chains. (i) Find the the annual FCF (Free Cash Flows) of producing the chains for years 1 to 9. (iii) Find the the annual FCF (Free Cash Flows) of producing the chains for year 10. (iv) Find the NPV of producing the chains from the FCF. (c) Find the NPV of producing the chains instead of buying them