IGNOU BECC 102 2025 2026 - Given the demand function and supply function . Assumi

Question

Given the demand function $P_D = 27 - Q^2$ and supply function $P_S = 4Q + 6$ . Assuming perfect competition, find (i) the consumers' surplus, (ii) the producers' surplus.

26 Mar 2026

Answer :

Word Count : 271

Under perfect competition, the equilibrium occurs where quantity demanded equals quantity supplied: [ P_D = P_S ] [ 27 - Q^2 = 4Q + 6 ] Bring all terms to one side: [ Q^2 + 4Q + 6 - 27 = 0 ] [ Q^2 + 4Q - 21 = 0 ] Solve the quadratic equation (Q^2 + 4Q - 21 = 0) using the formula (Q = \frac{-b \pm

___ ___ ____ ___ _________ ______ _________ _____ ___ ______ ____ __________.
________ _________ ________ __________ _____.
_________ ___ ___ _____ ________.
_________ _____ _________ _________ _______ _________ ___ _____ _________ _______.
_________ ______ _____ ___ _________ _____ _______ _______ ___ ____ _____.
_________ _____ _______ ______ _________ ______ ________ _______ _________ __________ ________.
_____ ____ ________ ____ _______ __________ ____ ___ _________ ___ ______.
________ ________ _______ _________ _______ ____ _________.
_______ _______ ________ _____ ______ _______ ______ ________ ___.
____ ____ ____ ________ _______ _________ ___ ___ ________ ____ _______ _____.
_________ ________ _______ ________ ___ _______ ____ __________.
________ _______ __________ ___ ________.
_______ ______ _______ ____ ________ ____ ______ ____ _________ _______ _____ ______.
__________ _________ ______ __________ ______ _____ _______ _____.
__________ __________ ___ _______ ___.
_______ ______ ________ _________ ______ ________.
______ _______ ____ _____ ____ ___ _________ ____ ______ _____ ____ ___.
__________ ____ _________ __________ __________ ____ ________ ___.
____ ___ ______ ___ _____ ___ ___ ____ ______ __________ ____ _________.
________ _____ _____ _________ ___ ______ _________.
_____ ______ _______ _________ ___ ___ _____ _______ _____ ___.
________ _________ _______ _______ _________ ____ ______ _______ ________ ________ _____.
___ __________ _____ ____.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers