Computer Graphics has announced a rights offering for its shareholders. Carol Stevens owns $2,000$ shares of Computer Graphics stock. Five rights plus $$60$ cash are needed to buy one of the new shares. The stock is currently selling for $$78$ rights$-$on$.$

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

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

b$-1.$ How many of the new shares could Carol buy if she exercised all her rights?

Note: Do not round intermediate calculations. Round your answer down to the nearest whole number.

b$-2.$ How much cash would this require?

Note: Round down the number of shares to the nearest whole number and round your answer to the nearest whole dollar.