Case Study

Evaluating Competing Models of a Demand Shock

A market for a specific brand of noise-canceling headphones is initially represented by the linear demand equation QD=40008PQ^D = 4000 - 8P. Following a widely publicized report that names this brand as the top choice for frequent flyers, market observers note that consumers now wish to purchase 500 more units than before at any given price. Two analysts propose different equations to model this new market reality:

  • Analyst 1 suggests the new demand is: QnewD=45008PQ^D_{new} = 4500 - 8P
  • Analyst 2 suggests the new demand is: QnewD=40006PQ^D_{new} = 4000 - 6P

Critique both proposals. Which analyst's model correctly represents the described market change? Justify your choice by explaining the economic meaning of the parameters in the demand equation and why one model is superior to the other for this scenario.

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Updated 2025-07-29

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