The Majestic Corporation has the following pattern of net income each year and associated capital expenditure projects for which the firm can earn a higher return than the stockholders could earn if the funds were paid out in the form of dividends. Year Net Income Profitable Capital Expenditure 1 $ 5 million $ 4 million 2 8 million 6 million 3 10 million 8 million 4 7 million 7 million 5 12 million 5 million The Majestic Corporation has 1 million shares outstanding (the following questions are separate from each other). a. If the residual theory of dividends is applied, how much in total cash dividends will be paid over the five years? b. If the firm simply uses a payout ratio of 40 percent of net income, how much in total cash dividends will be paid? c. If the firm pays a 10 percent stock dividend in years 2 through 5, and also pays a cash dividend of $2.50 per share for each of the five years, how much in total dividends will be paid? d. Assume the payout ratio in each year is to be 30 percent of net income and the firm will pay a 20 percent stock dividend in years 2 through 5. How much will dividends per share for each year be?