Herjavec Enterprises is thinking about introducing a new surface cleaning machine. The marketing department has come up with the estimate that the company can sell $16$ units per year at $$295,000$ net cash flow per unit for the next four years. The engineering department has come up with the estimate that developing the machine will take a $$14\mathrm{.}1$ million initial investment. The finance department has estimated that a discount rate of $13$ percent should be used.

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a$.$

What is the base$-$case NPV$?($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.)$

b$.$

If unsuccessful, after the first year, the project can be dismantled and will have an aftertax salvage value of $$10$ million. Also, after the first year expected cash flows will be revised up to $21$ units per year or down to $0$ units with equal probability. What is the revised NPV$?($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.)$