Chapter 8.1, Problem 68PE

A vendor at a carnival sells cotton candy and caramel apples for $\text{\$}2.00$ each. The vendor is charged $\text{\$}100$ to set up his booth. Furthermore, the vendor's average cost for each product he produces is approximately $\text{\$}0.75$ .

a. Write a linear cost function representing the cost $C\left(x\right)\left(\text{in \$}\right)$ to the vendor to produce $x$ products.

b. Write a linear revenue function representing the revenue $R\left(x\right)\left(\text{in \$}\right)$ for selling $x$ products.

c. Determine the number of products to be produced and sold for the vendor to break even.

d. If $60$ products are sold, will the vendor make money or lose money?