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Viktor [21]
2 years ago
7

Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?

Mathematics
1 answer:
Klio2033 [76]2 years ago
8 0

The x intercept of the given graph of the company's profit is where the curve of the graph crosses the x-axis.

<h3>How to determine the x-intercept</h3>

From the figure, the graph crosses the x-axis at x values of 0 and 6

This represents the profit is 0 when the price is $0 and $6, respectively

<h3>The increasing and the decreasing interval</h3>

From the graph, the graph increases from x = 0 to x = x = 3, and it decreases from x = 3 to x = 6

These intervals represent when the profit increases, and when it decreases

<h3>The maximum value</h3>

This represents the maximum profit that can be made.

From the graph, the maximum profit is $120

<h3>The average rate of change</h3>

This is calculated as:

m = \frac{f(b) - f(a)}{b - a}

So, we have:

m = \frac{f(3) - f(1)}{3 - 1}

m = \frac{f(3) - f(1)}{2}

Substitute known values

m = \frac{120 - 60}{2}

m = \frac{60}{2}

Simplify

m = 30

Hence, the average rate of change from x = 1 to x = 3 is a profit of $30 per unit sale

Read more about functions and graphs at:

brainly.com/question/13473114

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