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solve all of these using graphing utility 

The image displays a problem involving the average cost per hour \( C(x) \) of producing \( x \) riding lawn mowers, given by the equation:

\[
C(x) = 0.6x^2 + 19x - 262 + \frac{2700}{x}
\]

The tasks are:

1. Use a graphing utility to determine the number of riding lawn mowers to minimize the average cost.
2. Find the minimum average cost.

Let's break it down:

### Step 1: Analyze the equation
We need to minimize the function \( C(x) \). A graphing utility can help us visualize and find the point where the derivative \( C'(x) \) equals zero (which indicates a minimum).

### Step 2: Graphing the

The average cost per hour in dollars of producing x riding lawn mowers is given by the following equation: C(x) = 0.6x^2 + 19x - 262 + 2700/x. (a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost. (b) What is the minimum average cost?

Learn how to solve an optimization problem to minimize the average cost of producing riding lawn mowers. This problem involves the use of quadratic equations and rational functions. Suitable for high school and college students.

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