Todd Winningham IV has $$4,500$ to invest. Todd owns shares of Gallagher Tennis Clubs Inc. Gallagher has issued a rights offering to its common shareholders. Five rights plus $$44$ cash will buy one new share. Gallagher's stock is selling for $$59$ ex$-$rights.

a$-1.$ How many rights could Todd buy with his $$4,500?$

Number of rights

a$-2.$ Alternatively, how many shares could he buy with the same $$4,500$ at $$59$ per share? $($Round the final answer to the nearest whole number.$)$

Number of shares

b$.$ If Todd invests his $$4,500$ in Gallagher rights and the price of Gallagher stock rises to $$65$ per share ex$-$rights, what would be his dollar profit on the rights? $($First compute profits per right.$)($Do not round intermediate calculations.$)$

Dollar profit $

c$.$ If Todd invests his $$4,500$ in Gallagher shares and the price of a share rises to $$65$ per share ex$-$rights, what would be his total dollar profit? $($Round intermediate calculations.$)$

Total dollar profit

$

d$.$ What would be the answer to part $b$ if the price of a Gallagher share price falls to $$36$ per share ex$-$rights instead of rising to $$65?($Negative answer should be indicated by a minus sign.$)$

Dollar profit $/$ loss on the rights

$

e$.$ If Todd invests his $$4,500$ in Gallagher stock and the price of the stock falls to $$36$ per share ex$-$rights, what would his dollar profit be$?($Negative answer should be indicated by a minus sign.$)$

Dollar nrefit $/$ Ince on the stork

$