$($Net present value calculation$)$ Big Steve's, makers of swizzle sticks, is considering the purchase of a new plastic stamping machine. This investment requires an initial outlay of $$90,000$ and will generate net cash inflows of

$$16,000$ per year for $11$ years.

a$.$ What is the project's NPV using a discount rate of $7$ percent? Should the project be accepted? Why or why not?

b$.$ What is the project's NPV using a discount rate of $16$ percent? Should the project be accepted? Why or why not?

c$.$ What is this project's internal rate of return? Should the project be accepted? Why or why not?

a$.$ If the discount rate is $7$ percent, then the project's NPV is $$$

$($Round to the nearest dollar.$)$