IGNOU BECC 102 2025 2026 - माँग फलन तथा आपूर्ति फलन । पूर्ण प्रति

Question

माँग फलन $P_D = 27 - Q^2$ तथा आपूर्ति फलन $P_S = 4Q + 6$ । पूर्ण प्रतियोगिता की मान्यताओं के अंतर्गत ज्ञात करें (i) उपभोक्ता का अतिरेक, (ii) उत्पादक का अतिरेक।

26 Mar 2026

Answer :

Word Count : 311

हमारे पास माँग और आपूर्ति फलन हैं: [ P_D = 27 - Q^2 \quad \text{और} \quad P_S = 4Q + 6 ] चरण 1: समतुल्य मूल्य और मात्रा ज्ञात करना संतुलन (equilibrium) में, (P_D = P_S): [ 27 - Q^2 = 4Q + 6 ] सभी पदों को एक तरफ लाएँ: [ Q^2 + 4Q + 6 - 27 = 0 ] [ Q^2 + 4Q - 21 = 0 ] इस द्विघात समीकरण को हल करें: [ Q = \frac{-4 \pm \sqrt{4^2 - 4(1)(-21)}}{2} ] [ Q = \frac{-4 \pm \sqrt{16 + 84}}{2} ] [ Q = \frac{-4 \pm \sqrt{100}}{2} ] [

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