Consider a market with an incumbent firm and a new entrant E producing a homogenous product and competing in quantities. The incumbent has a technology with cost function C(q)-30q while the entrant produces with CE(q)=20q. The inverse demand is given by P(q)=180-q. Suppose the entrant is credit-constrained and has to repay an amount of D=400 at the end of the period. If the entrant is not able to cover this amount with its profits, the firm has to leave the marketplace. What is the minimum quantity q that makes sure the entrant is unable to repay the amount of D=400? [Please use the next smallest integer. That is instead of 50+epsilon, use 50.]

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter16: Government Regulation
Section: Chapter Questions
Problem 8E
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QUESTION 8
Consider a market with an incumbent firm and a new entrant E producing a homogenous product and competing in quantities. The incumbent
has a technology with cost function C(q)=30q while the entrant produces with CE(q)=20q.
The inverse demand is given by P(q)=180-q.
Suppose the entrant is credit-constrained and has to repay an amount of D=400 at the end of the period. If the entrant is not able to cover this
amount with its profits, the firm has to leave the marketplace.
What is the minimum quantity q that makes sure the entrant is unable to repay the amount of D=400? [Please use the next smallest integer.
That is instead of 50+epsilon, use 50.]
Transcribed Image Text:QUESTION 8 Consider a market with an incumbent firm and a new entrant E producing a homogenous product and competing in quantities. The incumbent has a technology with cost function C(q)=30q while the entrant produces with CE(q)=20q. The inverse demand is given by P(q)=180-q. Suppose the entrant is credit-constrained and has to repay an amount of D=400 at the end of the period. If the entrant is not able to cover this amount with its profits, the firm has to leave the marketplace. What is the minimum quantity q that makes sure the entrant is unable to repay the amount of D=400? [Please use the next smallest integer. That is instead of 50+epsilon, use 50.]
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