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Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Marginal Analysis is considered the one of the chief tools in managerial economics which involves comparison between marginal benefits and marginal costs to come up with optimal variable decisions. Managerial economics uses explanatory variables such as output, price, product quality, advertising, and research and development to maximise net ...
Marginal analysis examines the additional benefits of an activity compared to additional costs sustained by that same activity. In practice, companies use marginal analysis to assist them in maximizing their potential profits and often used when making decisions about expanding or reducing production. [citation needed]
Under the standard assumption of neoclassical economics that goods and services are continuously divisible, the marginal rates of substitution will be the same regardless of the direction of exchange, and will correspond to the slope of an indifference curve (more precisely, to the slope multiplied by −1) passing through the consumption bundle in question, at that point: mathematically, it ...
An example diagram of Profit Maximization: In the supply and demand graph, the output of is the intersection point of (Marginal Revenue) and (Marginal Cost), where =.The firm which produces at this output level is said to maximize profits.
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.
The marginal profit per unit of labor equals the marginal revenue product of labor minus the marginal cost of labor or M π L = MRP L − MC L A firm maximizes profits where M π L = 0. The marginal revenue product is the change in total revenue per unit change in the variable input assume labor. [10] That is, MRP L = ∆TR/∆L.