3. Claire goes to the Saturday market to buy apples (A) and tomatoes (T). Her utility for these two goods is U(A, T) = 3A3T. She has $12 to spend. a. Claire expects to buy apples for $4 a pound and tomatoes for $3 a pound. How much of each of these two goods should she plan to buy?

Synovec co. is growing quickly. dividends are expected to grow at a rate of 24 percent for the next three years, with the growth rate falling off to a constant 7 percent thereafter. if the required return is 11 percent, and the company just paid a dividend of $2.05, what is the current share price? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

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