A child wants to make money by selling lemonade at their own lemonade stand. The cost, in dollars, of all the ingredients they need is $18.75. They decide to charge 0.75 dollars for a cup of lemonade, hence, their profit $P(n)$ in dollars for selling $n$ cups of lemonade is $$P(n)=0.75 n-18.75.$$

a) What is the $n$ value of the $n$-intercept of the graph of $P(n)$? ( That is, we are looking for the input-intercept.)

b) Which of the following accurately describes the $n$-intercept?
A. It is the number of cups of lemonade have to be sold for her to make a profit of zero dollars.
B. It is the amount of money made by selling lemonade.
C. It is the most amount of cups of lemonade the child can sell.
D. It is how much the child loses if they don't sell any lemonade.
E. None of the above.