Question

微观经济学作业.1、对于不变弹性需求函数：Q=AP-e,A,e>0 (1)求反需求函数P(Q) (2)计算需求的价格弹性

Answer 1

Q = -e + AP

Q + e = AP

P(Q) = Q/A + e/A

dP = dQ/A

elasticity = (dQ/Q) / (dP/P) = dQ/dP * P/Q = AP/Q

但是你说是不变弹性 囧了 Q = AP^(-e) 拜托.难道是复旦的题

Q/A = P^(-e)

P(Q) = (Q/A)^(-1/e)

dQ = A*(-e)*P^(-e-1)dP

elasticity = dQ/dP * P/Q = A*(-e)*P^(-e-1) * P/Q = -e