QUESTION IMAGE
Question
- the following table describes how much the following people are willing to pay for a cell phone.
| name | willingness to pay |
|---|---|
| daniel | $300 |
| sofia | $600 |
| samuel | $1000 |
a. if the price of a cell phone is $550, what will be the total consumer surplus in this market?
b. if the price of a cell phone is $400, what will be the total consumer surplus in this market?
- suppose the following market is in equilibrium. identify the equilibrium price and quantity. label the consumer surplus on the graph.
Step1: Define consumer surplus formula
Consumer surplus for an individual = Willingness - to - pay - Price
Step2: Calculate consumer surplus for each person when price is $550
Violet: $500 - 550=0$ (no surplus as willingness - to - pay is less than price)
Daniel: $300 - 550 = 0$
Sofia: $600 - 550=50$
Samuel: $1000 - 550 = 450$
Step3: Sum up consumer surpluses for part a
Total consumer surplus when price = $550$ is $0 + 0+50 + 450=500$
Step4: Calculate consumer surplus for each person when price is $400
Violet: $500 - 400 = 100$
Daniel: $300 - 400=0$
Sofia: $600 - 400 = 200$
Samuel: $1000 - 400 = 600$
Step5: Sum up consumer surpluses for part b
Total consumer surplus when price = $400$ is $100+0 + 200+600=900$
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a. $500$
b. $900$