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Consider a Monopolist That Has a Total Cost Curve of TC

question 13

Essay

Consider a monopolist that has a total cost curve of TC = 110Q - (0.25)Q2.The market demand equation is Qd = 155 - P.
(A)What are the total revenue,marginal revenue,marginal cost,equilibrium quantity,equilibrium price,and profits for the monopolist in this market?
(B)Suppose the government instructs the firm to produce using average cost pricing.What are the equilibrium quantity,equilibrium price,and profits?
(C)Suppose further that the government wants the firm to produce where supply equals demand.What will be the equilibrium quantity,equilibrium price,and profits?


Definitions:

Graphing Calculator

A handheld device capable of plotting graphs, solving equations, and performing other mathematical operations and visualizations.

Real Line

A linear continuum of points representing real numbers, effectively illustrating the concept of the infinite nature of real numbers on a one-dimensional scale.

Inequality

A mathematical expression that shows the relationship between two values that are not equal, using symbols such as <, >, ≤, or ≥.

Real Line

A one-dimensional continuum that includes all real numbers, each of which corresponds to a unique point on the line.

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