McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $$400$ per set and have a variable cost of $$300$ per set. The company has spent $$87,000$ for a marketing study that determined the company will sell $44,000$ sets per year for seven years. The marketing study also determined that the company will lose sales of $12,000$ sets of its high$-$priced clubs. The high$-$priced clubs sell at $$600$ and have variable costs of $$600.$ The company will also increase sales of its cheap clubs by $10,000$ sets. The cheap clubs sell for $$200$ and have variable costs of $$200$ per set. The fixed costs each year will be $$5,832,000.$ The company has also spent $$758,000$ on research and development for the new clubs. The plant and equipment required will cost $$16,200,000$ and will be depreciated on a straight$-$line basis. The new clubs will also require an increase in net working capital of $$720,000$ that will be returned at the end of the project. The tax rate is $24$ percent, and the cost of capital is $10$ 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?