Ratio of Marginal Cost to Cost when the

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

Ratio of Marginal Cost to Cost when the Total Cost Function is given by \(C(x) =3 { x }^{ 3 } +\frac{3}{2} { x }^{ 2 } \) for x= 2 units is

Options:

5/7

7/8

7/5

8/7

Correct Answer:

7/5

Explanation:

\[\frac{dC}{dt}=9 { x }^{ 2 } + 3x\]