Nathan Caldwell Welding Company has decided to sell an improved design of gate posts.

The posts will sell for $$790$ per set and have a variable cost of $$390$ per set. AC

The company has spent $$149,000$ for a marketing study that determined the company will sell $53,000$ sets per year for $7$ years.

The marketing study also determined that the company will lose sales of $9,400$ sets of its high$-$priced posts.

The high price posts sell at $$1,090$ and have variable costs $$690.$

The company will also increase sales of its cheap posts by $$10,900.$

The cheap posts sell for $$430$ and have variable costs of $$225$ per set.

The fixed costs each year will be $$9,090,000.$

The company has also spent $$1,100,000$ on research and development for the new posts.

The plant and equipment required will cost $$28,630,000$ and will be depreciated on a straight$-$line basis.

The new posts will also require an increase in net working capital of $$1,290,000$ that will be returned at the end of the project.

The tax rate is $34\%$ and the cost of capital is $10\%$

$*$Suppose you feel that the values are accurate to within only $+/-10\%*$ A$.$ Calculate the payback period B$.$ The NPV C$.$ The IRR