Now go back to original demand and supply. Suppose a price ceiling P=$70 is imposed. Wh Producer Surplus and deadweight loss (DWL) after the price ceiling? (please draw a graph a. PS=$5500; DWL-1200 b. PS=$3,600; DWL-$270 c. PS=$2,880; DWL-$270 d. PS=$2880; DWL $1200 e. None of the above

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Chapter1: Making Economics Decisions
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** PLEASE LOOK AT BOTH IMAGES, THEY COMPLEMENT EACHOTHER ** 

### Demand and Supply Functions for Bicycles

The demand and supply for bicycles are described by the following equations:

- **Demand Equation**: \( Q^d = 1000 - 10P \)
  - **\(Q^d\)** represents the quantity demanded of bicycles.
  - **\(P\)** represents the price of bicycles.
  
- **Supply Equation**: \( Q^s = 2P - 20 \)
  - **\(Q^s\)** represents the quantity supplied of bicycles.
  - **\(P\)** represents the price of bicycles.

To find the equilibrium price and quantity, set the demand equation equal to the supply equation:

\[ 1000 - 10P = 2P - 20 \]

This educational resource aims to help you understand the relationship between the price of bicycles and the quantity demanded and supplied in the market. Analyzing these equations will enable you to determine the equilibrium point where the market clears, meaning the quantity demanded equals the quantity supplied.
Transcribed Image Text:### Demand and Supply Functions for Bicycles The demand and supply for bicycles are described by the following equations: - **Demand Equation**: \( Q^d = 1000 - 10P \) - **\(Q^d\)** represents the quantity demanded of bicycles. - **\(P\)** represents the price of bicycles. - **Supply Equation**: \( Q^s = 2P - 20 \) - **\(Q^s\)** represents the quantity supplied of bicycles. - **\(P\)** represents the price of bicycles. To find the equilibrium price and quantity, set the demand equation equal to the supply equation: \[ 1000 - 10P = 2P - 20 \] This educational resource aims to help you understand the relationship between the price of bicycles and the quantity demanded and supplied in the market. Analyzing these equations will enable you to determine the equilibrium point where the market clears, meaning the quantity demanded equals the quantity supplied.
### Understanding Producer Surplus and Deadweight Loss under a Price Ceiling

#### Problem Statement:
Consider the original demand and supply curves in a market. Now, suppose a price ceiling is imposed such that \( P = \$70 \). The question asks you to determine the Producer Surplus (PS) and Deadweight Loss (DWL) after the price ceiling is applied. The potential answers are:

a. PS = $5500; DWL = $1200  
b. PS = $3600; DWL = $270  
c. PS = $2880; DWL = $270  
d. PS = $2880; DWL = $1200  
e. None of the above

#### Explanation:

To solve this problem, one must understand the concepts of Producer Surplus (the difference between what producers are willing to accept for a good versus what they actually receive) and Deadweight Loss (the loss of economic efficiency that occurs when the equilibrium outcome is not achieved).

When a price ceiling is set below the equilibrium price, it results in a shortage because the quantity demanded will exceed the quantity supplied. The Producer Surplus decreases because producers receive a lower price for their goods, and some may exit the market.

1. **Producer Surplus (PS)**: This is the area above the supply curve and below the price level up to the quantity sold.
2. **Deadweight Loss (DWL)**: This is the lost consumer and producer surplus that occurs because the quantity of goods bought and sold is below the market equilibrium quantity. 

#### Graph Illustration (Draw a Graph):
Since the problem prompts you to draw a graph, depict a typical supply and demand graph:
- Label the vertical axis as Price (P) and the horizontal axis as Quantity (Q).
- Draw the downward-sloping demand curve and the upward-sloping supply curve intersecting at the equilibrium.
- Show the price ceiling line (horizontal) at \( P = \$70 \), below the equilibrium price.
- Indicate the new quantities supplied and demanded at the \( P = \$70 \) price level.
- Highlight the Producer Surplus area and the Deadweight Loss area.

#### Options Analysis:
Evaluate which of the given options correctly represents the outcomes of these economic measures after the imposition of the price ceiling.

In absence of specific quantity or cost information:
- One might explore for consistency with typical economic impacts: A significant drop in Producer Surplus post price ceiling and the resultant deadweight loss
Transcribed Image Text:### Understanding Producer Surplus and Deadweight Loss under a Price Ceiling #### Problem Statement: Consider the original demand and supply curves in a market. Now, suppose a price ceiling is imposed such that \( P = \$70 \). The question asks you to determine the Producer Surplus (PS) and Deadweight Loss (DWL) after the price ceiling is applied. The potential answers are: a. PS = $5500; DWL = $1200 b. PS = $3600; DWL = $270 c. PS = $2880; DWL = $270 d. PS = $2880; DWL = $1200 e. None of the above #### Explanation: To solve this problem, one must understand the concepts of Producer Surplus (the difference between what producers are willing to accept for a good versus what they actually receive) and Deadweight Loss (the loss of economic efficiency that occurs when the equilibrium outcome is not achieved). When a price ceiling is set below the equilibrium price, it results in a shortage because the quantity demanded will exceed the quantity supplied. The Producer Surplus decreases because producers receive a lower price for their goods, and some may exit the market. 1. **Producer Surplus (PS)**: This is the area above the supply curve and below the price level up to the quantity sold. 2. **Deadweight Loss (DWL)**: This is the lost consumer and producer surplus that occurs because the quantity of goods bought and sold is below the market equilibrium quantity. #### Graph Illustration (Draw a Graph): Since the problem prompts you to draw a graph, depict a typical supply and demand graph: - Label the vertical axis as Price (P) and the horizontal axis as Quantity (Q). - Draw the downward-sloping demand curve and the upward-sloping supply curve intersecting at the equilibrium. - Show the price ceiling line (horizontal) at \( P = \$70 \), below the equilibrium price. - Indicate the new quantities supplied and demanded at the \( P = \$70 \) price level. - Highlight the Producer Surplus area and the Deadweight Loss area. #### Options Analysis: Evaluate which of the given options correctly represents the outcomes of these economic measures after the imposition of the price ceiling. In absence of specific quantity or cost information: - One might explore for consistency with typical economic impacts: A significant drop in Producer Surplus post price ceiling and the resultant deadweight loss
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