The answer in Chegg Library seems wrong. Please give correct answer and show work. Thank you!

The Harley Corporation is a maker of fine cork products. Their current stock price is $$90.$ Their most recent earnings are included in retained earnings.

Preferred Stock

$$1,000,000$

Common Stock $(500,000$ shares at $$3$ par$)$

$$1,500,000$

Paid$-$in$-$capital in excess of par

$$$$700,000$

Retained earnings

$$$$8,000,000$

Total Stockholders$$ equity

$$11,200,000$

The firm is considering a $3-$for$-2$ stock split.

a$.$ What would be the result of the stock split?$$

b$.$ What change in the stock price would you expect from the stock split?$$

c$.$ What is the maximum cash dividend the firm could pay on common stock before and after the stock split?$$

d$.$ Contrast your answers with a $50\%$ stock dividend.

e$.$ Explain the difference between a stock split and a stock dividend.