*On 1/1/06 M company., a calendar year company, has 875,000 common shares outstanding. Over the course of the fiscal year, the company experiences the following events:

Common stock related events:

3/1/2006 issues 153,125 common shares

5/1/2006 distributes a 10% stock dividend

8/1/2006 purchases 70,000 shares of treasury stock

10/1/2006 issues a 3 for 1 stock split

The firm also has the following securities outstanding for the entire year (all conversion rates already reflect the effect of the stock dividend and stock split): 50,000 shares of convertible preferred stock. The convertible preferred stock has a par value of $10 per share, pays a 18% dividend and is convertible into 2 shares of common stock.

Convertible bonds with an aggregate par value of $8,500,000. The bonds are sold in increments of $1000; pay a 8.5% coupon and are convertible into 100 shares of common stock.

175 call option contracts with a strike price of $10 per share. Each option contract is exercisable into 170 shares of common stock. The average stock price over the fiscal year is $20 per share.

The firm has net income of $5,900,000 and the corporate tax rate is 35%.

1) Calculate the weighted average number of shares outstanding at 12/31/06

2) Calculate basic EPS

3) Calculate whether each security in the firms capital structure is dilutive

4) Calculate fully-diluted EPS

Please show how to solve step by step & highlight the answers!