An isoquant (derived from quantity and the Greek word iso, meaning equal), in microeconomics, is a contour line drawn through the set of points at which the same quantity of output is produced while changing the quantities of two or more inputs. The x and y axis on an isoquant represent two relevant inputs, which are usually a factor of production such as labour, capital, land, or organisation. An isoquant may also be known as an “Iso-Product Curve”, or an “Equal Product Curve”. While an indifference curve mapping helps to solve the utility-maximizing problem of consumers, the isoquant mapping deals with the cost-minimization and profit and output maximisation problem of producers. Indifference curves further differ to isoquants, in that they cannot offer a precise measurement of utility, only how it is relevant to a baseline. Whereas, from an isoquant, the product can be measured accurately in physical units, and it is known by exactly how much isoquant 1 exceeds isoquant 2. In managerial economics, isoquants are typically drawn along with isocost curves in capital-labor graphs, showing the technological tradeoff between capital and labor in the production function, and the decreasing marginal returns of both inputs. In managerial economics, the unit of isoquant is commonly the net of capital cost. As such, isoquants by nature are downward sloping due to operation of diminishing marginal rates of technical substitution (MRTS). The slope of an isoquant represents the rate at which input x can be substituted for input y. This concept is the MRTS, so MRTS=slope of the isoquant. Thus, the steeper the isoquant, the higher the MRTS. Since MRTS must diminish, isoquants must be convex to their origin. Adding one input while holding the other constant eventually leads to decreasing marginal output. The contour line of an isoquant represents every combination of two inputs which fully maximise a firms’ use of resources (such as budget, or time). Full maximisation of resources is usually considered ‘efficient’.

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MGT-454: Principles of microeconomics
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Isocost
In economics, an isocost line shows all combinations of inputs which cost the same total amount. Although similar to the budget constraint in consumer theory, the use of the isocost line pertains to cost-minimization in production, as opposed to utility-maximization. For the two production inputs labour and capital, with fixed unit costs of the inputs, the equation of the isocost line is where w represents the wage rate of labour, r represents the rental rate of capital, K is the amount of capital used, L is the amount of labour used, and C is the total cost of acquiring those quantities of the two inputs.

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