The Andersons own four shares of Magic Tricks Corporation's common stock. The market value of the stock is $$54.$ The Andersons also have $$44$ in cash. They have just received word of a rights offering. One new share of stock can be purchased at $$44$ for each four shares currently owned $($based on four rights$).$

Note: Do not round intermediate calculations and round your answers to the nearest whole dollar.

a$.$ What is the value of a right?

b$.$ What is the value of the Andersons$$ portfolio before the rights offering? $($Portfolio in this question represents stock plus cash.$)$

c$-1.$ Compute the diluted value $($ex$-$rights$)$ per share.

c$-2.$ If the Andersons participate in the rights offering, what will be the value of their portfolio, based on the diluted value $($ex$-$rights$)$ of the stock?

d$.$ If they sell their two rights but keep their stock at its diluted value and hold on to their cash, what will be the value of their portfolio?