I need help with these questions for my Homework for a Finance Subject. Please write the answers in a detailed manner.

Question $1$

X Corporation currently has $400,000$ shares pf stock outstanding that sell for $$60$ per share. Assuming no market imperfections or tax effects exist, what will the share price and the new number of shares outstanding in each cases below:

a$)$ X has a $5$ for $3$ stock splits.

b$)$ X has a $2$ for $5$ reverse stock splits.

c$)$ X has a $20$ percent stock dividend.

Question $2$

Big Time, Inc., is proposing a right offering. Presently there are $350,000$ shares outstanding at $$64$ each. There will be $50,000$ new shares offered at $$58$ each.

a$)$ What is the new market value of the company?

b$)$ What is the ex$-$rights price?

c$)$ What is the value of a right?