(a) Determine Robin Crusoe’s optimal production/consumption pattern. (10 points)

題組內容

3. Robin Crusoe lives for two periods and his diet consists solely of fish. His utility function is given by U = C₀C₁, where C₀ denotes consumption of fish in period 0 and C₁, denotes consumption of fish in period 1. The current stock of fish is 300. The growth rate of the fish is 100% (i.e., foregoing consumption of one fish in period 0 means Robin can consume 2 fish in period 1 )

【已刪除】1. A monopolist’s total cost (TC) and total revenue (TR) functions are assumed to respectively，where Q denotes the output quantity. The government is going to impose a tax of t dollars per unit quantity on the commodity produced by the firm. The government wants to maximize T=tQ, the total revenue it realizes from the tax. However, the government does not know what tax rate t will accomplish that end. Find the tax rate t that maximizes total tax revenue 丁 for the government and the equilibrium quantity Q for which the firm’s profit is maximized after taxation. (20 points)

題組內容

(a) Determine Robin Crusoe’s optimal production/consumption pattern. (10 points)

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