McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $$1,000$ per set and have a variable cost of $$400$ per set. The company has spent $$145,000$ for a marketing study that determined the company will sell $69,000$ sets per year for seven years. The marketing study also determined that the company will lose sales of $17,000$ sets of its high$-$priced clubs. The high$-$priced clubs sell at $$1,600$ and have variable costs of $$800.$ The company will also increase sales of its cheap clubs by $14,000$ sets. The cheap clubs sell for $$500$ and have variable costs of $$200$ per set. The fixed costs each year will be $$9,672,000.$ The company has also spent $$1,257,000$ on research and development for the new clubs. The plant and equipment required will cost $$24,800,000$ and will be depreciated on a straight$-$line basis. The new clubs will also require an increase in net working capital of $$1,207,000$ that will be returned at the end of the project. The tax rate is $23$ percent, and the cost of capital is $11$ percent.

McGilla Golf would like to know the sensitivity of NPV to changes in the price of the new clubs and the quantity of new clubs sold.

a$.$ What is the sensitivity of the NPV to changes in the price of the new club?

b$.$ What is the sensitivity of the NPV to changes in the quantity sold?