What is the cost minimizing equilibrium condition?

The cost minimizing equilibrium condition occurs when a firm minimizes its costs while producing a given level of output. This is achieved when the ratio of the marginal product of each input to its price is equal across all inputs, meaning that the firm allocates resources in a way that each input's contribution to output is maximized relative to its cost. Mathematically, this is expressed as: ( \frac{MP_L}{P_L} = \frac{MP_K}{P_K} ), where ( MP ) is the marginal product, and ( P ) is the price of labor (L) and capital (K). Meeting this condition ensures that the firm is operating efficiently and maximizing profits.