Part I: Complete the following steps:
Read Example 10 in Section 9.1 of Precalculus.
Use the GeoGebra tool to graph the cost and revenue functions given in Example 10.
Identify the break-even point using the “Intersect” tool under “Points”.
Save your GeoGebra work as a .pdf file for submission.
Part II: Based on your work in Part I, discuss the following:
Discuss the part of the graph that represents the profit.
Discuss how you found the break-even point on the graph.
If you are performing a break-even analysis for a business and their cost and revenue equations are dependent, explain what this means for the company’s profit margins.
If you are solving a break-even analysis and get more than one break-even point, explain what this signifies for the company?
If you are solving a break-even analysis and there is no break-even point, explain what this means for the company.
How should they ensure there is a break-even point?
Solve the following problem: An investor earned triple the profits of what she earned last year. If she made $500,000.48 total for both years, how much did she earn in profits each year?
Write an analysis of your solution to this problem similar to the one included at the end of Example 10.
Describe the graph that could model this situation.
Discuss how your answer would be affected if:
The amount earned for both years was increased.
The investor only earned double the profits of what she earned last year.
Discussion may include: On the graph, the region of profit will be where the revenue function values are higher than the cost function values. The break-even point will be the intersection points of the two graphs. Having more than one break-even point means that there are alternations of profit and loss. Dependent equations would mean they are the same curve and no profit exists. If there is no break-even point, then either there was continuous profit or there was continuous loss.
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