How to Find Profit-maximizing Input with GeoGebra

You can use GeoGebra to find the optimum level of production that maximizes the profit of a business. This is a fundamental measure of a business’s financial projections.

GeoGebra Instruction 1

1.
Open Algebra View and Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Enter the revenue function in Algebra View by typing R = <revenue function> and pressing Enter.
3.
Enter the cost function in Algebra View by typing C = <cost function> and pressing Enter.
4.
Enter R’ in Algebra View and press Enter.
5.
Enter C’ in Algebra View and press Enter.
6.
To see only C(x) and R(x) in Graphics View, tap the dot in front of C(x) and the dot in front of R(x). When C(x) and R(x) are unchecked, their graphs disappear from Graphics View.
7.
To find the intersection(s) between R(x) and C(x), click Intersect GeoGebra icon in Toolbar and click on the graphs of R(x) and C(x).
8.
The x-coordinate at the intersection point A is the optimum that maximizes the business’s profit.

Screenshot of GeoGebra showing the intersection of R’(x) and C’(x)

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