Annie is making designer masks to sell online. It costs her $1,800 to start her business and $2.25 for each mask she produces for up to 250 masks. She plans to charge $18 for each mask she sells.
To determine her profit, she will take how much money she made from selling her masks (Revenue) and subtract how much it cost her (Cost).
If x is the number of masks produced/sold, find
a) C(x), the cost function, and R(x), the revenue function
b) P(x), the profit function if P(x) = R(x) - C(x)
c) What is the least number of masks Annie must sell for her profit to be greater than zero?
d) What is the most profit Annie can make?