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A curve connecting the tangency points is called the expansion path because it shows how the input usages expand as the chosen level of output expands. In economics , an expansion path (also called a scale line [ 1 ] ) is a path connecting optimal input combinations as the scale of production expands. [ 2 ]
A family of isoquants can be represented by an isoquant map, a graph combining a number of isoquants, each representing a different quantity of output.An isoquant map can indicate decreasing or increasing returns to scale based on increasing or decreasing distances between the isoquant pairs of fixed output increment, as output increases. [7]
Equivalently, it gives the maximum level of output that can be produced for a given total cost of inputs. A line joining tangency points of isoquants and isocosts (with input prices held constant) is called the expansion path. [3]
If output increases by the same proportional change as all inputs change then there are constant returns to scale (CRS). For example, when inputs (labor and capital) increase by 100%, output increases by 100%. If output increases by less than the proportional change in all inputs, there are decreasing returns to scale (DRS). For example, when ...
The network consists of a contracting path and an expansive path, which gives it the u-shaped architecture. The contracting path is a typical convolutional network that consists of repeated application of convolutions, each followed by a rectified linear unit (ReLU) and a max pooling operation. During the contraction, the spatial information is ...
In economics and particularly in consumer choice theory, the income-consumption curve (also called income expansion path and income offer curve) is a curve in a graph in which the quantities of two goods are plotted on the two axes; the curve is the locus of points showing the consumption bundles chosen at each of various levels of income.
This translates to a linear expansion path in income: the slope of indifference curves is constant along rays beginning at the origin. [1]: 482 This is to say, the Engel curve for each good is linear. Furthermore, the indirect utility function can be written as a linear function of wealth :
Two input Leontief Production Function with isoquants. In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production which will be used in fixed (technologically predetermined) proportions, as there is no substitutability between factors.