Math Problem Statement

Suppose that Edison and Hilary represent the only two consumers of jeans in some hypothetical market. The following table presents their annual demand schedules for jeans:

Price

Edison’s Quantity Demanded

Hilary’s Quantity Demanded

(Dollars per pair)

(Pairs)

(Pairs)

10

32

56

20

24

40

30

16

24

40

8

12

50

0

4

On the following graph, plot Edison’s demand for jeans using the green points (triangle symbol). Next, plot Hilary’s demand for jeans using the purple points (diamond symbol). Finally, plot the market demand for jeans using the blue points (circle symbol).

Solution

The graph above shows the demand for jeans from Edison, Hilary, and the overall market:

  • Edison's demand is represented by the green triangles.
  • Hilary's demand is represented by the purple diamonds.
  • Market demand is the sum of both Edison’s and Hilary’s demands and is represented by the blue circles.

Would you like further details about how the demand curves are interpreted or have any other questions?

Here are 5 related questions to consider:

  1. How would an increase in the price of jeans affect the total market demand?
  2. What would happen to market demand if a third consumer with different preferences entered the market?
  3. How could a change in income affect Edison or Hilary’s individual demand curves?
  4. How do substitution or complementary goods impact the demand for jeans in this market?
  5. What might happen if the price of jeans fell below $10?

Tip: Market demand reflects the total quantity demanded by all consumers at each price point.

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Math Problem Analysis

Mathematical Concepts

Demand curves
Market demand
Graphing

Formulas

Market Demand = Edison’s Demand + Hilary’s Demand

Theorems

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Suitable Grade Level

Grades 9-12