McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $$855$ per set and have a variable cost of $$415$ per set. The company has spent $$320,000$ for a marketing study that determined the company will sell $70,000$ sets per year for seven years. The marketing study also determined that the company will lose sales of $13,400$ sets of its high$-$priced clubs. The high$-$priced clubs sell at $$1,225$ and have variable costs of $$685.$ The company will also increase sales of its cheap clubs by $15,400$ sets. The cheap clubs sell for $$445$ and have variable costs of $$235$ per set. The fixed costs each year will be $$10,650,000.$ The company has also spent $$2,700,000$ on research and development for the new clubs. The plant and equipment required will cost $$39,000,000$ and will be depreciated on a straight$-$line basis. The new clubs will also require an increase in net working capital of $$3,400,000$ that will be returned at the end of the project. The tax rate is $22$ percent, and the cost of capital is $10$ percent.

a$.$

Calculate the payback period. $($Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.)$

b$.$ Calculate the NPV$.($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ Calculate the IRR. $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$