McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $$820$ per set and have a variable cost of $$380$ per set. The company has spent $$250,000$ for a marketing study that determined the company will sell $67,900$ sets per year for seven years. The marketing study also determined that the company will lose sales of $12,000$ sets of its high$-$priced clubs. The high$-$priced clubs sell at $$1,190$ and have variable costs of $$650.$ The company will also increase sales of its cheap clubs by $14,000$ sets. The cheap clubs sell for $$410$ and have variable costs of $$200$ per set. The fixed costs each year will be $$10,300,000.$ The company has also spent $$2,000,000$ on research and development for the new clubs. The plant and equipment required will cost $$38,300,000$ and will be depreciated on a straight$-$line basis. The new clubs will also require an increase in net working capital of $$2,700,000$ that will be returned at the end of the project. The tax rate is $25$ percent, and the cost of capital is $13$ 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$.,32\mathrm{.}16.)$