McGilla Golf is evaluating a new line of golf clubs. The clubs will sell for $$940$ per set and have a variable cost of $$420$ per set. The company has spent $$142,500$ for a marketing study that determined the company will sell $47,500$ sets per year for seven years. The marketing study also determined that the company will lose sales of $8,900$ sets of its high$-$priced clubs. The high$-$priced clubs sell at $$1,440$ and have variable costs of $$570.$ The company also will increase sales of its cheap clubs by $11,500$ sets. The cheap clubs sell for $$420$ and have variable costs of $$150$ per set. The fixed costs each year will be $$9,350,000.$ The company has also spent $$1,025,000$ on research and development for the new clubs. The plant and equipment required will cost $$29,050,000$ and will be depreciated on a straight$-$line basis to a zero salvage value. The new clubs will also require an increase in net working capital of $$2,350,000$ that will be returned at the end of the project. The tax rate is $21$ 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$.,32\mathrm{.}16.)$