Cullumber Corp, management is planning to convert an existing warehouse into a new plant that will increase its production capacity by $45$ percent. The cost of this project will be $$10\mathrm{.}415,405.$ It will result in additional cash flows of $$2,227,200$ for each of the next eight years. The discount rate is $12\mathrm{.}31$ percent

a$.$ What is the payback period? $($Round answer to $2$ decimal places, e$.$g$.15\mathrm{.}25)$

b$.$ What is the NPV for this project? $($Round intermediate calculations and final answers to $0$ decimal places, e$.$g$.1,251.$ Do not round dicount factor values.

c$.$ What is the IRR? $($Round answer to $2$ decimal places, e$.$g$.15\mathrm{.}25\%.)$