Economists for smith brothers, Inc., determine company profit P by using formula P=R-C, where R is total revenue generated by business and C is total cost of operating the business.
a. Using data from past years, economists found that R(x)= 0.0125x^2+412x models total revenue, and C(x)=12,225+0.00135x^3 models total cost in business, where x is number of customers patronizing business. How Many customers should Smith Bros, have to be profitable every year?
b. How many customers should there for smith bros to realize annual profit of $60,000?