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Lucia and Sharon are considering contributing toward the creation of a building mural. Each can choose whether to contribute $300 to the building mural or
Lucia and Sharon are considering contributing toward the creation of a building mural. Each can choose whether to contribute $300 to the building mural or to keep that $300 for a weekend getaway. Since a building mural is a public good, both Lucia and Sharon 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 Lucia and Sharon choose to contribute, then a total of $600 would be contributed to the building mural. So, Lucia and Sharon would each receive $540 of benefit from the building mural, and their combined benefit would be $1,080. This is shown in the upper left cell of the first table. Since a weekend getaway is a private good, if Lucia chooses to spend $300 on a weekend getaway, Lucia would get $300 of benefit from the weekend getaway and Sharon wouldn't receive any benefit from Lucia's choice. If Lucia still spends $300 on a weekend getaway and Sharon chooses to contribute $300 to the building mural, Lucia would still receive the $270 of benefit from Sharon's generosity. In other words, if Lucia decides to keep the $300 for a weekend getaway and Sharon decides to contribute the $300 to the public project, then Lucia would receive a total benefit of $300 + $270 = $570, Sharon 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 Lucia and Sharon as previously described. Sharon Contributes Doesn't contribute Contributes $1,080 $ Lucia Doesn't contribute $840 S Of the four cells of the table, which gives the greatest combined benefits to Lucia and Sharon? When both Lucia and Sharon contribute to the building mural O When neither Lucia nor Sharon contributes to the building mural When Lucia contributes to the building mural and Sharon doesn't, or vice versa Now, consider the incentive facing Lucia individually. The following table looks similar to the previous one, but this time, it is partially completed with the individual benefit data for Lucia. As shown previously, if both Lucia and Sharon contribute to a public good, Lucia receives a benefit of $540. On the other hand, if Sharon contributes to the building mural and Lucia does not, Lucia receives a benefit of $570.Lucia Doesn't contribute $840 $ Of the four cells of the table, which gives the greatest combined benefits to Lucia and Sharon? When both Lucia and Sharon contribute to the building mural O When neither Lucia nor Sharon contributes to the building mural O When Lucia contributes to the building mural and Sharon doesn't, or vice versa Now, consider the incentive facing Lucia individually. The following table looks similar to the previous one, but this time, it is partially completed with the individual benefit data for Lucia. As shown previously, if both Lucia and Sharon contribute to a public good, Lucia receives a benefit of $540. On the other hand, if Sharon contributes to the building mural and Lucia does not, Lucia receives a benefit of $570. Complete the right-hand column of the following table, which shows the individual benefits of Lucia. Hint: You are not required to consider the benefit of Sharon. Sharon Contribute Doesn't contribute Contribute $540, -- $ Lucia Doesn't contribute $570, -- $ If Sharon decides to contribute to the building mural, Lucia would maximize her benefit by choosing to the building mural. On the other hand, if Sharon decides not to contribute to the building mural, Lucia would maximize her benefit by choosing to the building mural. These results illustrate Grade It Now Save & Continue Continue without saving
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