Clasified in Notes of Mathematics of University.
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The monopolist controls the amount of production and price. But that does not mean you can charge whatever they want if it is to maximize profits. For this, the monopolist has to figure out their costs and features of the demand of the market (elasticity,preferences, etc.).. With this information, decide what is the amount that will be produced and sold, and its price.
From an economic point of view we can say that the marginal cost of monopoly-increasing cost per unit produced, represents the supply market and the total average income of monopoly-price per unit sold, is not only the curve of demand of market. To choose the level of productionmaximizing the profit, the monopolist has to know the curves of marginal revenue (income change experienced when the offer differs in one unit) and average cost.
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