Suppose that a firm's production function is: a = 3L * K ^ 0.5 The cost of capital is $30/unit; the cost of labor is $20/unit. What is the minimum cost of producing q = 243 ?

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Isocost and Isoprofit Curve Analysis

An isocost curve in the production theory that is a crucial part of economics depicts different combinations of factor inputs at a given market cost. In other words, this shows all the combinations of production factors that cost the same for the firm to employ. Usually, this can be depicted as a downward sloping straight line when the firms act as the price-takers in the factor markets. The slope of this mainly depicts the relative prices of different production factors.