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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 View in 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 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)

How to Find Cost-minimizing Input with GeoGebra

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