Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider the graph below. what happened to the market when the governme…

Question

consider the graph below.

what happened to the market when the government imposed a minimum price of \\$5.50 for corn?

a.) consumers and producers both benefit from the \\$5.50 minimum price.
b.) producer surplus is now zero.
c.) a deadweight loss is created.
d.) a larger consumer surplus is created.

Explanation:

🆕 New Concept Discovered: Price Floors and Market Welfare
How government-mandated minimum prices create market inefficiencies.

Step 1: Analyze the Market Equilibrium

Before any government intervention, the market equilibrium is determined by the intersection of the Demand and Supply curves:

  • The equilibrium price is \( \$4.50 \).
  • The equilibrium quantity is \( 3 \) million bushels.

At this equilibrium, total economic surplus (the sum of consumer surplus and producer surplus) is maximized, and there is no deadweight loss.

Step 2: Analyze the Impact of the Minimum Price

The government imposes a minimum price (price floor) of \( \$5.50 \):

  • Because this minimum price is set above the equilibrium price of \( \$4.50 \), it is a binding price floor.
  • At \( \$5.50 \), consumers are only willing to buy \( 1.5 \) million bushels (the quantity demanded), while producers want to supply more.
  • Because transactions must be mutually agreed upon, the actual quantity traded in the market falls from \( 3 \) million bushels to \( 1.5 \) million bushels.

Step 3: Identify the Resulting Welfare Changes

Because the quantity traded decreases from the socially optimal level of \( 3 \) million bushels to \( 1.5 \) million bushels:

  • Some mutually beneficial transactions that would have occurred between \( \$4.50 \) and \( \$5.50 \) are prevented.
  • This reduction in transactions creates a loss in total economic surplus that is not captured by anyone.
  • This lost economic efficiency is represented by the shaded triangular area labeled Deadweight Loss on the graph.

Let's evaluate the given options:

  • a.) Consumers and producers both benefit...: Incorrect. Consumers are worse off because they pay a higher price and consume less.
  • b.) Producer surplus is now zero: Incorrect. The graph shows a red shaded region representing a positive producer surplus.
  • c.) A deadweight loss is created: Correct. The restriction in quantity traded directly generates a deadweight loss.
  • d.) A larger consumer surplus is created: Incorrect. Consumer surplus shrinks to the small green triangle because consumers pay a higher price for fewer goods.

Answer:

c.) A deadweight loss is created.