$1.$ Given the forecasted data, determine the number of planes that the company must produce in order to break even, on both accounting basis and NPV basis.

The $12-$year project initial investment is $$1,000$ million, each plane sold for $$12\mathrm{.}5$ million, the variable cost is $$8$ million each plane, the fixed cost is $$110$ million, the depreciation uses straight$-$line method, tax rate is $35\%$ and the company$$s cost of capital is $11\%.$

Please calculate accounting break$-$even and economic break$-$even for the project.

$2.$ Calculate mean and standard deviation for the following asset.

Economic State Return Probability

Recession $-21\%35\%$

Normal $11\%30\%$

Boom $32\%35\%$