$1.$ For the year ended December $31,20$X$1,$ Investo Corp had net income of $$3$ million, and paid $$150,000$ in preferred dividends, and $$300,000$ in common dividends. The company also had the following information related to shares of common stock outstanding:

Shares outstanding Jan $1,20$X$11,000,000$

Shares repurchased, July $1,20$X$1(150,000)$

Shares issued, Oct $1,20$X$150,000$

Shares outstanding Dec $31,20$X$1900,000$

a$.$ Compute the weighted average number of common shares outstanding.

b$.$ Compute basic EPS.

$2.$ Assume the same information as in #$1,$ only now there are $50,000$ shares of convertible preferred stock outstanding $($conversion ratio $1$:$1).$ What is diluted EPS?

$3.$ Assume the same information as in #$1($and ignore the information in #$2),$ only now there is $$1,000,000$ worth of $6\%$ coupon convertible bonds that can converted into $50,000$ shares of common stock. The tax rate is $25\%.$ What is diluted EPS?