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In 2012, the box industry was perfectly competitive. The lowest point on the lon

ID: 1197650 • Letter: I

Question

In 2012, the box industry was perfectly competitive. The lowest point on the long-run average cost curve each of the identical box procedures was $4, and this minimum point occured at an output of 1,000 boxes per month. The market demand curve for boxes was:

Qd=140,000 - 10,000P

whee P was the price of a box (in dollars per box) and QD was the quantity of boxes demanded per month. The market supply curve for boxes was

QS= 80,000 + 5,000P

Where QS was the quantity of boxes supplied per month.

a) What was the equalibrium price of box? Is this the long-run equalibrium price?

b) How many firms are in this industry when it is in long-run equalibrium?

Explanation / Answer

a) For equilibrium price Qd should be equal to Qs

     140,000 - 10,000P = 80,000 + 5,000P

      15,000P = 60,000

It implies, P = 60,000/15 = $4

Yes, this the long-run equalibrium price. Because in the long run P = MC = ATC.

Market demand = 140,000 - 10,000P = 140,000 - 10,000 x 4 = 100,000 boxes = Market Supply

Since at the equlilibrium price of $4, one firm produces 1000 boxes, therefore to produce 100,000 boxes 10 are required.

Therefore, there are 10 firms in the industry.

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