the accompanying table shows the maximum price each person in a small office is willing to pay for a memory foam seat cushion. since each worker only has one chair, no one wants to buy more than one cushion. use the table to construct an approximate demand curve for memory foam seat cushions.

To construct an approximate demand curve for memory foam seat cushions using the table of maximum prices each worker is willing to pay, follow these steps:

1. List the maximum prices and workers: Suppose the table is:

Worker| Max Price ($)
---|---
Derrick| 19
Marcus| 15
Kal| 12
Emily| 10
Portia| 8
Ryo| 6

2. Sort the prices in descending order: 19, 15, 12, 10, 8, 6
3. Determine quantity demanded at each price: At each price point, count how many workers are willing to pay at least that price:
   • At $19: 1 cushion (Derrick)
   • At $15: 2 cushions (Derrick, Marcus)
   • At $12: 3 cushions (Derrick, Marcus, Kal)
   • At $10: 4 cushions (Derrick, Marcus, Kal, Emily)
   • At $8: 5 cushions (Derrick, Marcus, Kal, Emily, Portia)
   • At $6: 6 cushions (all workers)
4. Create the demand schedule:

Price ($)| Quantity Demanded
---|---
19| 1
15| 2
12| 3
10| 4
8| 5
6| 6

5. Plot the demand curve:
   • On the vertical axis (Y-axis), plot price.
   • On the horizontal axis (X-axis), plot quantity demanded.
   • Plot the points from the demand schedule above.
   • Connect the points with a downward-sloping line, reflecting that as price decreases, quantity demanded increases.

This curve approximates the demand for memory foam seat cushions in the office, showing the inverse relationship between price and quantity demanded, consistent with standard demand curve theory

. This approach aligns with standard methods for constructing demand curves: listing prices consumers are willing to pay, counting quantities demanded at each price, and plotting price against quantity