### Home > CALC > Chapter 6 > Lesson 6.3.3 > Problem 6-104

A calculator company found that the cost of producing

*x*graphing calculators per day is*C*(*x*) = 5*x*+*e*^{0.02}^{x}^{ }. (This ignores the original research and development cost, which is quite large.) Homework Help ✎

If each calculator is priced at $90, find a daily revenue function,

*R*(*x*), which calculates the income for*x*calculators sold.Find the profit function,

*P*(*x*), which calculates the profit per day when*x*calculators are produced and each later sold for $90.Find the daily production that will maximize the profit.

What is the maximum daily profit?

*R*(*x*) = 90*x*

Profit is the difference between revenue and cost of product.

Optimize your profit function. We are looking for an *x*-value.

Find the *P*(x) value that corresponds to your answer in part (c).