$5.$ Tommy John Company has $$12,500,000$ to distribute as dividends. It has $$1$ par value outstanding $20,000,000$ and shares of $6\%$ preferred stock with a par value of $$100$ per share $10,000,000.$ How would the dividends be distributed to each group of shareholders if the company has not paid a dividend for $2$ years under the following assumptions:

a$.$ Assume that the preferred stock is cumulative and fully participating.

b$.$ Assume that the preferred stock is non$-$cumulate and fully participating

c$.$ Assume that the preferred stock is cumulative and non$-$participating