Question

निम्न में से कौन‑सा संबंध सही है?

• A. \( AR = MR \left(\dfrac{\varepsilon}{\varepsilon-1}\right) \)
• B. \( MC = MR \left(\dfrac{\varepsilon}{\varepsilon-1}\right) \)
• C. \( MR = MC \left(\dfrac{\varepsilon}{\varepsilon-1}\right) \)
• D. इनमें से कोई नहीं

Hint:

\(\varepsilon>1\) (लोचदार भाग) पर \(MR>0\); \(\varepsilon=1\) पर \(MR=0\); \(\varepsilon<1\) पर \(MR<0\)।

Answer 1

The Correct Option is A

TR \(=P(Q)\cdot Q\). अतः \[ MR=\frac{dTR}{dQ}=P+Q\frac{dP}{dQ}. \] माँग‑लोच \(\varepsilon=-\dfrac{dQ}{dP}\cdot\dfrac{P}{Q}\Rightarrow Q\dfrac{dP}{dQ}=-\dfrac{P}{\varepsilon}\). इसे MR में रखने पर \[ MR=P-\frac{P}{\varepsilon}=AR\!\left(1-\frac{1}{\varepsilon}\right). \] अतः \(\displaystyle \frac{AR}{MR}=\frac{\varepsilon}{\varepsilon-1}\Rightarrow AR=MR\!\left(\frac{\varepsilon}{\varepsilon-1}\right).\)