Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: P = 110-Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: π = P₁ Q₁ + P₂ (Q₂ -Q₁) + P3 (Q3 Q₂) - mQ3, P2 - where p₁ is the high price charged on the first units Q₁ (first block) and p2 is a lower price charged on the next (Q₂-Q₁) units and p3 is the lowest price charged on the (Q3 - Q₂) remaining units. Q3 is the total number of units actually purchased, and m = 75 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for P₁, P2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny)

Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: P = 110-Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: π = P₁ Q₁ + P₂ (Q₂ -Q₁) + P3 (Q3 Q₂) - mQ3, P2 - where p₁ is the high price charged on the first units Q₁ (first block) and p2 is a lower price charged on the next (Q₂-Q₁) units and p3 is the lowest price charged on the (Q3 - Q₂) remaining units. Q3 is the total number of units actually purchased, and m = 75 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for P₁, P2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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