The first proposition of invisible hand theorem says that competition minimizes total costs of production in an industry.
Lets, look at a perfectly competitive market where the prices are same in all the firms in the industry. The main aim of a firm is to maximize its profit. Profit maximization is the point where the price is equal to marginal cost ( P = MC ). If an industry has 50 firms then the price of the product in the industry at profit maximizing point is
P = MC1 + MC2 + MC3 + ....... + MC50
This results in MC1 = MC2 = MC3 ............= MC50 , which means that competitive markets balance production across firms in the industry so the total industry costs are minimized (for any given quantity of production).
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