Q.Considering the same demand curve as in exercise 22, now let us allow for free entry and exit of the firms producing commodity X. Also assume the market consists of identical firms producing commodity X. Let the supply curve of a single firm be explained as for and for .
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Start your 14-day free trial to unlock the full solution →With free entry and exit, the market equilibrium price equals the minimum average cost of a firm — here, that is the shutdown price of . At this price, each firm supplies units, and the market quantity is found from the demand curve (from exercise 22). The number of firms is then market quantity divided by 68.
(a) The significance of
The supply curve of a single firm tells us that for any price below ₹20, the firm produces nothing — . Only when the price reaches ₹20 or above does the firm start supplying positive output, following .
This threshold price of ₹20 is the shutdown point of the firm. In economic terms, it is the minimum of the firm’s average variable cost (AVC). If the market price falls below this level, the firm cannot cover its variable costs and finds it better to produce zero in the short run. So is the lowest price at which the firm is willing to stay in production.
In the long run, with free entry and exit, the shutdown price also becomes the minimum average cost of the firm — because firms enter or exit until price equals the minimum of the long-run average cost curve.
(b) Equilibrium price with free entry and exit
When firms can freely enter and exit the market, the market reaches long-run equilibrium at a price equal to the minimum average cost of a typical firm. Why? Because:
- If the price were above minimum average cost, existing firms would earn supernormal profits. This attracts new firms to enter, increasing market supply and pushing the price down.
- If the price were below minimum average cost, firms would incur losses. Some firms exit, reducing supply and raising the price.
The process continues until price exactly equals the minimum average cost, where each firm earns zero economic profit (normal profit). In this problem, the minimum average cost is exactly the shutdown price — ₹20 — because the supply curve starts at that point.
Do not confuse the shutdown price (short-run) with the long-run equilibrium price. Here, because the supply curve is given as a single firm’s short-run supply, but the question explicitly allows free entry and exit, we interpret as the long-run equilibrium price — the minimum of the firm’s average cost curve.
Thus, the market for commodity X will be in equilibrium at . …
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