Determine the long run competitive market price

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Reference no: EM131136234

The market demand for woozles is given by:
Qd = 2,400 - 20p

There is only one available technology, and it is employed by all producers- actual and potential.

It implies the following average cost function:
AC = 625q-1 + 0.25q

Currently, 20 firms serve the market.

The individual supply curve is the part of marginal cost (MC) curve after the intercection with average variable cost (AVC) curve.

MC is the derivative of TC curve.

MC = TC = (AC*q)= (625 + 0.25q^2)= 0.5q, so Ps = 0.5q or qs = 2p.

The industry supply curve is the sum of 20 individual firm's supply curves, so Qs = 20*2p= 40q

The short-run competitive equilibrium price and output is in the point, where Qs = Qd, so:
40p = 2,400 - 20p,
60p=2400 > pe=$40
Qe=40*40=1600 units

Individual competitive output is q = 1,600/20 = 80 units.

TP=(P - AC)*q = (40 - (625/80 + 0.25*80))*80 = (40 - 27.8125)*80 = $975

E- Determine the long-run competitive market price and quantity and how
many firms will operate.

Reference no: EM131136234

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