A factory selling cell phones has a marginal cost function $$ C(x)=0.01 x^{2}-3 x+229 $$, where $$ x $$ represents the number of cell phones, and a marginal revenue function given by $$ R(x)=429-2 x $$. Find the area between the graphs of these curves and $$ x=0 $$.

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Bowers Clark · Accepted Answer

The area between the graphs of the marginal cost and marginal revenue functions from $$ x=0 $$ to the point of intersection at $$ x=200 $$ is approximately $$ 33333.3 $$ square units.

A factory selling cell phones has a marginal cost function \( C(x)=0.01 x^{2}-3 x+229 \), where \( x \) represents the number of cell phones, and a marginal revenue function given by \( R(x)=429-2 x \). Find the area between the graphs of these curves and \( x=0 \).

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A factory selling cell phones has a marginal cost function \( C(x)=0.01 x^{2}-3 x+229 \), where \( x \) represents the number of cell phones, and a marginal revenue function given by \( R(x)=429-2 x \). Find the area between the graphs of these curves and \( x=0 \).

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