Search results
Results From The WOW.Com Content Network
The optimal output, shown in the graph as , is the level of output at which marginal cost equals marginal revenue. The price that induces that quantity of output is the height of the demand curve at that quantity (denoted P m {\displaystyle P_{m}} ).
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]
Isocost v. Isoquant Graph. In the simplest mathematical formulation of this problem, two inputs are used (often labor and capital), and the optimization problem seeks to minimize the total cost (amount spent on factors of production, say labor and physical capital) subject to achieving a given level of output, as illustrated in the graph.
The isocost line is combined with the isoquant map to determine the optimal production point at any given level of output. Specifically, the point of tangency between any isoquant and an isocost line gives the lowest-cost combination of inputs that can produce the level of output associated with that isoquant.
The firm produces at the quantity of output where marginal cost equals marginal revenue (labeled Q in the upper graph), and its per-unit economic profit is the difference between average revenue AR and average total cost ATC at that point, the difference being P minus C in the graph's notation. With firms making economic profit and with free ...
The total cost curve, if non-linear, can represent increasing and diminishing marginal returns.. The short-run total cost (SRTC) and long-run total cost (LRTC) curves are increasing in the quantity of output produced because producing more output requires more labor usage in both the short and long runs, and because in the long run producing more output involves using more of the physical ...
In this stage, the employment of additional variable inputs increases the output per unit of fixed input but decreases the output per unit of the variable input. The optimum input/output combination for the price-taking firm will be in stage 2, although a firm facing a downward-sloped demand curve might find it most profitable to operate in ...
An optimization problem with discrete variables is known as a discrete optimization, in which an object such as an integer, permutation or graph must be found from a countable set. A problem with continuous variables is known as a continuous optimization, in which optimal arguments from a