CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The total cost C(x) associated with the production of x units of an item is given by $$C(x)=0.05x^3-0.02x^2+30x+5000$$. Find the marginal cost when $$3$$ units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.


Solution

Since it is Given that marginal Cost is the Instantaneous rate of change of  total cost means $$\Rightarrow \dfrac{dC}{dx}$$

$$\Rightarrow \dfrac{dC}{dx}=3\times 0.05\times x^2-2\times 0.02\times x+30=0.15x^2+0.04x+30$$

Given in the Question, Marginal Costs of $$3$$ units is to be calculated
so, $$x=3$$

$$\Rightarrow Marginal Cost=1.35-0.12+30=31.23$$

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image