Solve the problem.
A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged $60 to set up his booth. Furthermore, the vendor's average cost for each product he produces is approximately $0.80.
a. Write a linear cost function representing the cost C(x) (in $) to produce x products.
b. Write a linear revenue function representing the revenue R(x) (in $) for selling x products.
c. Determine the number of products to be produced and sold for the vendor to break even.