Question

 The cost C of manufacturing a certain article is given by the formula  

c =\frac{48}{x} + 3x^{2}.
 Find minimum value of C.

16 Feb 2018
Answer :
Word Count : 100

Given,

c = 5 + \frac{48}{x} + 3x^2

To Find the minimum value of C

First differentiate

\frac{dc}{dx}=5-\frac{48}{x^{2}}+6x^{2}

for minimum value   \frac{dc}{dx}=0

\therefore 5-\frac{48}{x^{2}}+6x^{2}=0

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