Boondocks Inc. has $30$ million shares outstanding at a price of $$40$ each. The company is planning a seasoned equity offering $($SEO$).$ It will issue an additional $10$ million shares at a subscription price of $$32.$ Adelheid is a shareholder of the firm and currently owns $900$ shares $($prior to the SEO$).$ The SEO will be carried out as a rights offer.

a$.$ How many rights will Adelheid receive from the firm in the process of the SEO?

b$.$ How many new shares can she buy in the SEO with the rights that she has?

c$.$ What will be the price of the company$$s shares after the SEO?

d$.$ Calculate Adelheid$$s shareholder value if she exercises her rights.

e$.$ Calculate Adelheid$$s shareholder value if she chooses to sell her rights.