Question

In: Economics

Suppose that the potential customers for hair braiding in a city consider hair braiding to be...

Suppose that the potential customers for hair braiding in a city consider hair braiding to be identical and that the market is perfectly competitive. Hair braiding requires special skills so the supply of workers in this industry is upward-sloping, and the wages earned by hair braiders increase as the industry output increases. Firms in this market face the following total cost:

TC = Q3 – 8 Q2 + 20Q + W


where, Q = number of hair braidings,

W  = daily wage paid to workers, which depends on total industry output, equals W = 0.1NQ, where N = total #  of firms.

Market demand is:

QD = 500 – 20P.

  1. Find the long-run equilibrium output for each firm. (3 marks)

  1. Find the long-run equilibrium number of firms (N), total industry output (NQ), and price  (P).
    (6 marks)
  1. Suppose demand increases to QD = 1,000 – 10P. Find the new long-run competitive equilibrium.
    (6 marks)

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