3. A bicycle courier has a fixed delivery cost of $12.50 per day, plus a variable cost of $0.25/package. He earns $4.25 per package he delivers, in revenue. The maximum number of packages that he can deliver in a day is 27.
a. Write an equation to represent
The total cost, C, as a function of the number, p, of packages delivered.
ii. The revenue, R, as a function of the number, p, of packages delivered.
b. develop an algebraic model for the profit function
P(p) = R(p) - C(p)
c. Identify the domain and range in the context of this problem for C(p), R(p) and P(p)
