d, both Ana and Dina will benefit from any contributions made by the other person. Sp ll bring each of them $0.90 of benefit. For example, if both Ana and Dina choose to com c park. So, Ana and Dina would each receive $540 of benefit from the public park, and upper left cell of the first table. mod, if Ana chooses to spend $300 on a pool table, Ana would get $300 of benefit from th m Ana's choice. If Ana still spends $300 on a pool table and Dina chooses to contribute $ enefit from Dina's generosity. In other words, if Ana decides to keep the $300 for a pool c project, then Ana would receive a total benefit of $300 + $270 $570, Dina would rect ld be $840. This is shown in the lower left cell of the first table. = which shows the combined benefits of Ana and Dina as previously described. Dina Contributes Doesn't contribute $1,080 $ $840 which gives the greatest combined benefits to Ana and Dina?

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section: Chapter Questions
Problem 6PA
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Ana and Dina are considering contributing toward the creation of a public park. Each can choose whether to contribute $300 to the public park or to
keep that $300 for a pool table.
Since a public park is a public good, both Ana and Dina will benefit from any contributions made by the other person. Specifically, every dollar that
either one of them contributes will bring each of them $0.90 of benefit. For example, if both Ana and Dina choose to contribute, then a total of $600
would be contributed to the public park. So, Ana and Dina would each receive $540 of benefit from the public park, and their combined benefit would
be $1,080. This is shown in the upper left cell of the first table.
Since a pool table is a private good, if Ana chooses to spend $300 on a pool table, Ana would get $300 of benefit from the pool table and Dina
wouldn't receive any benefit from Ana's choice. If Ana still spends $300 on a pool table and Dina chooses to contribute $300 to the public park, Ana
would still receive the $270 of benefit from Dina's generosity. In other words, if Ana decides to keep the $300 for a pool table and Dina decides to
contribute the $300 to the public project, then Ana would receive a total benefit of $300 + $270 $570, Dina would receive a total benefit of $270,
and their combined benefit would be $840. This is shown in the lower left cell of the first table.
=
Complete the following table, which shows the combined benefits of Ana and Dina as previously described.
Dina
Contributes Doesn't contribute
Contributes
$
Ana
$1,080
$840
Doesn't contribute
$
Of the four cells of the table, which gives the greatest combined benefits to Ana and Dina?
OLO
F8
(E6
(F7
M+
F9
CJ
F10
-O
F11
28
F12
Lock
● X
5:28 PM
6/12/2022
Insert
Prt Sc
A-Z
6
1
Del
Transcribed Image Text:Ana and Dina are considering contributing toward the creation of a public park. Each can choose whether to contribute $300 to the public park or to keep that $300 for a pool table. Since a public park is a public good, both Ana and Dina will benefit from any contributions made by the other person. Specifically, every dollar that either one of them contributes will bring each of them $0.90 of benefit. For example, if both Ana and Dina choose to contribute, then a total of $600 would be contributed to the public park. So, Ana and Dina would each receive $540 of benefit from the public park, and their combined benefit would be $1,080. This is shown in the upper left cell of the first table. Since a pool table is a private good, if Ana chooses to spend $300 on a pool table, Ana would get $300 of benefit from the pool table and Dina wouldn't receive any benefit from Ana's choice. If Ana still spends $300 on a pool table and Dina chooses to contribute $300 to the public park, Ana would still receive the $270 of benefit from Dina's generosity. In other words, if Ana decides to keep the $300 for a pool table and Dina decides to contribute the $300 to the public project, then Ana would receive a total benefit of $300 + $270 $570, Dina would receive a total benefit of $270, and their combined benefit would be $840. This is shown in the lower left cell of the first table. = Complete the following table, which shows the combined benefits of Ana and Dina as previously described. Dina Contributes Doesn't contribute Contributes $ Ana $1,080 $840 Doesn't contribute $ Of the four cells of the table, which gives the greatest combined benefits to Ana and Dina? OLO F8 (E6 (F7 M+ F9 CJ F10 -O F11 28 F12 Lock ● X 5:28 PM 6/12/2022 Insert Prt Sc A-Z 6 1 Del
When neither Ana nor Dina contributes to the public park
O When Ana contributes to the public park and Dina doesn't, or vice versa
Now, consider the incentive facing Ana individually. The following table looks similar to the previous one, but this time, it is partially completed with
the individual benefit data for Ana. As shown previously, if both Ana and Dina contribute to a public good, Ana receives a benefit of $540. On the
other hand, if Dina contributes to the public park and Ana does not, Ana receives a benefit of $570.
Complete the right-hand column of the following table, which shows the individual benefits of Ana.
Hint: You are not required to consider the benefit of Dina.
Dina
Doesn't contribute
Contribute
Contribute
$540,--
Doesn't contribute $570,--
Ana
$
$
If Dina decides to contribute to the public park, Ana would maximize her benefit by choosing
hand, if Dina decides not to contribute to the public park, Ana would maximize her benefit by choosing
to the public park. On the other
to the public park.
These results illustrate
$7
5:28 PM
6/12/2022
Transcribed Image Text:When neither Ana nor Dina contributes to the public park O When Ana contributes to the public park and Dina doesn't, or vice versa Now, consider the incentive facing Ana individually. The following table looks similar to the previous one, but this time, it is partially completed with the individual benefit data for Ana. As shown previously, if both Ana and Dina contribute to a public good, Ana receives a benefit of $540. On the other hand, if Dina contributes to the public park and Ana does not, Ana receives a benefit of $570. Complete the right-hand column of the following table, which shows the individual benefits of Ana. Hint: You are not required to consider the benefit of Dina. Dina Doesn't contribute Contribute Contribute $540,-- Doesn't contribute $570,-- Ana $ $ If Dina decides to contribute to the public park, Ana would maximize her benefit by choosing hand, if Dina decides not to contribute to the public park, Ana would maximize her benefit by choosing to the public park. On the other to the public park. These results illustrate $7 5:28 PM 6/12/2022
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