Assume all cash flows occur at the end of each period.

a$.$ What is the net present value $($at the discount rate of $10\%)$ of this project? $($Negative value should be indicated by a minus sign. Enter your answer in thousands of dollars. Round your answer to the nearest thousand.$)$

b$.$ Perot$$s engineers have determined that spending $$10$ million more on development will allow them to add even more advanced features. Having a more advanced chip will allow them to price the chip $$50$ higher in both years $($$$870$ for year $1$ and $$700$ for year $2).$ What is the NPV of the project if this option is implemented? $($Negative value should be indicated by a minus sign. Enter your answer in thousands of dollars. Round your answer to the nearest thousand.$)$

c$.$ If sales are only $200,000$ the first year and $100,000$ the second year, what would the NPV of the project be$?$ Assume the development costs and sales price are as originally estimated. $($Negative value should be indicated by a minus sign. Enter your answer in thousands of dollars. Round your answer to the nearest thousand.$)$