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Refer to Table 4.1. If the six people listed in the table are the only consumers in the market, and the equilibrium price is \(11 (not the \)8 shown), how much consumer surplus will the market generate?

Person
Maximum willingness to pay (\()
Actual Price (\))
Bob1311
Barb1211
Bill1111
Bart1011
Brent911
Betty811

Short Answer

Expert verified

The total consumer surplus in the market is -3.

Step by step solution

01

Step 1. Definition of consumer surplus

The consumer surplus is the difference between what a consumer is willing to pay and what he actually has to pay, which is given by the market price.

It is the gain that a consumer receives after participating in market exchange. For example, if David is ready to spend a maximum of $5 for a coffee cup and the coffee price is $3, then David has a consumer surplus of $2 (=5-3).

02

Step 2. Calculating the consumer surplus

Consider the table below; the consumer surplus for each consumer is calculated by finding out the difference between maximum willingness to pay and the actual price.

For example, the consumer surplus received by Bob is calculated by subtracting the equilibrium price from the maximum price that Bob is willing to pay (13-11), which is $2. Similarly, the same can be done for others as shown below:

PersonMaximum willingness to pay ($)
Actual price ($)
Consumer surplus ($)
Bob13112 (=13-11)
Barb12111 (=12-11)
Bill11110 (=11-11)
Bart1011-1 (=10-11)
Brent911-2 (=9-11)
Betty811-3 (=8-11)
Total

-3 (=2+1+0-1-2-3)

The total surplus of the market is calculated by adding individual consumer surpluses, that is, adding the consumer surplus received by Bob, Barb, Bill, Bart, Brent, and Betty.

Thus, the total consumer surplus in the market is -3.

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Look at Tables 4.1 and 4.2 together. What is the total surplus if Bob buys a unit from Carlos? If Barb buys a unit from Courtney? If Bob buys a unit from Chad? If you match up pairs of buyers and sellers so as to maximize the total surplus of all transactions, what is the largest total surplus that can be achieved?

PersonMaximum willingness to pay (\()
Actual price (\))

Consumer surplus (\()
Bob1385 (=13-8)
Barb1284 (=12-8)
Bill1183 (=11-8)
Bart1082(=10-8)
Brent981 (=9-8)
Betty880(=8-8)
PersonMinimum acceptable price (\))
Actual price (\()
Consumer surplus (\))
Carlos385 (=8-3)
Courtney
484 (=8-4)
Chuck
583 (=8-5)
Cindy
682 (=8-6)
Craig
781 (=8-7)
Chad
880 (=8-8)

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