Question

The cost function for x units of a commodity is given by $C\left(x\right)=3x^3-6x+5$. Find marginal cost function , when $x=2$.

• A. $6$
• B. $4$
• C. $2$
• D. None of these

Answer 1

The correct option is D None of these

The derivative of the cost function $C\left(x\right)$ is called marginal cost with notation:

$C^{\prime }\left(x\right)=\frac{dC}{dx}$

$C^{\prime }\left(x\right)=9\times x^2-6$

Putting the value of x as $2$

We get

$C^{\prime }\left(x\right)=9\times 2^2-6$

$C^{\prime }\left(x\right)=30$

$Marginalcost=36$