Problem #1: Justin started a lawn maintenance business. His rate to maintain an average size lawn is $30. It cost Justin $750 to start the business (trailer, equipment, etc.) and he estimates that his cost per lawn is $1.50 (gas, oil, blades, etc.). a) Write the cost function in terms of c(x), the revenue function in terms of r(x), and the profit function in terms p(x) in simplest form of for Justin’s business.
b) Set up an equation use algebra to find the number of lawns that Justin has to maintain for his business to break-even.
c) Find and interpret the meaning of p(100).
d) Set up an equation and use algebra to find when Justin’s business will make a profit of $25,000?
e) Sketch the cost and revenue functions on the same graph.