Consider an economy with a private good and public good. The economy consists of two consumers whose utility functions are: u1(x1, y) = 1/2 ln x1 +1/2 ln y and u2(x2, y) = 1/3 ln x2 +2/3 ln y. The endowment of consumer 1 is w1 = 2, and endowment of consumer 2 is w2 = 3, both in units of private goods. The production of public good uses the linear technology y = z. 1. Find Lindahl equilibrium.

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Consider an economy with a private good and public good. The economy
consists of two consumers whose utility functions are:
u1(x1, y) = 1/2 ln x1 +1/2 ln y  and  u2(x2, y) = 1/3 ln x2 +2/3 ln y.
The endowment of consumer 1 is w1 = 2, and endowment of consumer 2 is w2 = 3, both in units of private goods. The production of public good uses the linear technology y = z.

1. Find Lindahl equilibrium.

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