Problem $3$:

Ajay Singh plans to offer gift$-$wrapping services at the local mall during the month of December. Ajay will wrap each package, regardless of size, in the customer's choice of wrapping paper and bow for a price of $$3.$ Ajay estimates that his variable costs will total $$1$ per package wrapped and that his fixed costs will total $$600$ for the month.

Required:

a$.$

Express Ajay's profit before taxes in terms of the number of packages sold.

b$.$

How many packages does Ajay need to wrap to break even?

c$.$

How many packages must Ajay wrap to earn a profit of $$1,400?$