Final answer:
Beaty Inc. should report diluted earnings per share for 2010 of $1.82.
Step-by-step explanation:
To calculate the diluted earnings per share for 2010, we first need to determine the effect of the additional shares from the Beaty Inc. and Dunbar Co. stock purchase. Since Dunbar Co.'s net income in 2010 was $520,000, which is greater than the target net income of $500,000, the additional shares will be included in the diluted earnings per share calculation for 2010.
First, calculate the weighted average number of common shares outstanding for 2010. The starting number of shares is 100,000. The additional shares to be issued is 10,000, and it is assumed that these shares are outstanding the entire year. Therefore, the weighted average number of common shares for 2010 is 110,000.
Next, calculate the diluted earnings per share by dividing Beaty Inc.'s net income for 2010 by the weighted average number of common shares. Diluted earnings per share = ($200,000 / 110,000) = $1.82.