Math Problem Statement
Solution
In this graph, we are asked to find the producer surplus at the equilibrium price. Let's go step-by-step to calculate it:
Key information from the graph:
- Equilibrium price is where the supply (S) and demand (D) curves intersect. From the graph, this is at a price of $100 and a quantity of 15 units.
- The producer surplus is the area above the supply curve and below the equilibrium price line (a triangle).
Producer surplus is calculated as the area of a triangle:
The formula for the area of a triangle is:
- Base: The base is the quantity at equilibrium, which is 15 units.
- Height: The height is the difference between the equilibrium price and the lowest price at which producers are willing to supply the product. From the graph, the supply curve starts at a price of $20, so the height is .
Calculation:
However, this value is not exactly one of the options provided, but $800 seems to be the closest.
Would you like to discuss why the option is closest, or have any other questions on this?
Here are some follow-up questions related to the concept:
- How does a change in demand affect the producer surplus?
- What would happen to producer surplus if the supply curve shifts right?
- Can producer surplus be negative, and under what conditions?
- How do taxes affect the producer surplus?
- How would you calculate consumer surplus from the same graph?
Tip: Producer surplus is a good measure of producer welfare, representing the extra benefit producers receive for selling at a market price higher than their minimum acceptable price.
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Math Problem Analysis
Mathematical Concepts
Microeconomics
Producer Surplus
Geometry (area of a triangle)
Formulas
Producer Surplus = (1/2) * Base * Height
Theorems
Producer surplus in microeconomics
Suitable Grade Level
Grades 10-12 (Economics)