Catherine's hair salon is considering buying airtime for a television commercial to spread the word about their services and get clients during non$-$peak hours. Alternatively, they could invest in a cheaper newspaper ad campaign. They forecasted the following cash flows for the two options:

Television: Investment of $$6,750$ would increase profits by $$5,800$ in the $1$st year and $$4,500$ in the $2$nd year.

Newspaper: Investment of $$500$ today would increase profits by $$1,700$ in the $1$st year and $$1,000$ in the $2$nd year.

The cost of capital is $16\mathrm{.}00\%.$

a$.$ By calculating the Net Present Value $($NPV$)$ of each investment, determine which option is better?

a$.$ Television

b$.$ Newspaper

b$.$ By how much is the profit of the better investment greater than the other investment?