The town of Wollulung has two residents: Bach (B) and Mozart (M). The town currently funds its free outdoor concert series solely from the individual contributions of these residents. Each of the two residents has a utility function over private goods (X) and total concerts (C), of the form: U = 3 x log(X)+ 2 × log(C) The total number of concerts given, C, is the sum of the number paid for by each of the two persons: C = CB + CM Bach and Mozart both have income of 60, and the price of both the private good and a concert is 1. Thus, they are limited to providing between 0 and 60 concerts. a) How many concerts are given if the government does not intervene?

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The town of Wollulung has two residents: Bach (B) and Mozart (M). The town currently funds its free
outdoor concert series solely from the individual contributions of these residents. Each of the two
residents has a utility function over private goods (X) and total concerts (C), of the form:
U = 3 × log(X) + 2× log(C)
The total number of concerts given, C, is the sum of the number paid for by each of the two persons:
С %3D Св + См
Bach and Mozart both have income of 60, and the price of both the private good and a concert is 1.
Thus, they are limited to providing between 0 and 60 concerts.
a) How many concerts are given if the government does not intervene?
Transcribed Image Text:The town of Wollulung has two residents: Bach (B) and Mozart (M). The town currently funds its free outdoor concert series solely from the individual contributions of these residents. Each of the two residents has a utility function over private goods (X) and total concerts (C), of the form: U = 3 × log(X) + 2× log(C) The total number of concerts given, C, is the sum of the number paid for by each of the two persons: С %3D Св + См Bach and Mozart both have income of 60, and the price of both the private good and a concert is 1. Thus, they are limited to providing between 0 and 60 concerts. a) How many concerts are given if the government does not intervene?
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