A bicycle manufacturer currently produces $202$ comma $000$ units a year and expects output levels to remain steady in the future. It buys chains from an outside supplier at a price of $$$$1\mathrm{.}90$ a chain. The plant manager believes that it would be cheaper to make these chains rather than buy them. Direct$$ in$-$house production costs are estimated to be only $$$$1\mathrm{.}40$ per chain. The necessary machinery would cost $$$$237$ comma $000$ and would be obsolete after $10$ years. This investment could be depreciated to zero for tax purposes using a $10-$year $$straight$-$line depreciation schedule. The plant manager estimates that the operation would require $$$$43$ comma $000$ of inventory and other working capital upfront$($year $0),$ but argues that this sum can be ignored since it is recoverable at the end of the $10$ years. Expected proceeds from scrapping the machinery after $10$ years are $$$$17$ comma $775.$ If the company pays tax at a rate of $20\%$ and the opportunity cost of capital is $16\%,$ what is the net present value of the decision to produce the chains$$ in$-$house instead of purchasing them from the$$ supplier?

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Part $1$

$$First$,$ we project the annual free cash flows of buying the chains and then compute the$$ project's NPV$.$

The annual free cash flows for years $1$ to $10$ of buying the chains is $$$

$$

negative $307,040.($Round to the nearest dollar. Enter a free cash outflow as a negative$$ number.$)$

Part $2$

The NPV of buying the chains is $$$

$$

negative $1,483,994.($Round to the nearest dollar. Enter a negative NPV as a negative$$ number.$)$

Part $3$

$$Next$,$ we project the annual free cash flows of producing the chains and then compute the$$ project's NPV$.$

The initial FCF of producing the chains is $$$

$$

negative $280,000.($Round to the nearest dollar. Enter a free cash outflow as a negative$$ number.$)$

Part $4$

The FCF in years $1$ through $9$ of producing the chains is $$$

$$

negative $221,500.($Round to the nearest dollar. Enter a free cash outflow as a negative$$ number.$)$

Part $5$

The FCF in year $10$ of producing the chains is $$$

$$

negative $164,280.($Round to the nearest dollar. Enter a free cash outflow as a negative$$ number.$)$

Part $6$

The NPV of producing the chains is $$$

$$

enter your response here. $($Round to the nearest dollar. Enter a negative NPV as a negative$$ number.$)$

I just need help with part $6$