3. Let Robinson Crusoe's Production Possibility curve be given by the equation: f²/2 + g = 150 where f is the amount of fish and g is the amount of grain he can obtain. (think of g as plotted on the vertical axis and f as plotted on the horizontal axis). Robinson's marginal rate of substitution in consumption is MRSc = 9/f. (a) Find Robinson's production-consumption optimum R*. (b) If Robinson is discovered by a world market in which P = 5. and P. = 1.

Microeconomic Theory
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Chapter13: General Equilibrium And Welfare
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3. Let Robinson Crusoe's Production Possibility curve be given by the equation:
ƒ²/2 + g = 150
where f is the amount of fish and g is the amount of grain he can obtain. (think of
g as plotted on the vertical axis and f as plotted on the horizontal axis). Robinson's
marginal rate of substitution in consumption is MRSc = 9/f.
(a) Find Robinson's production-consumption
optimum R*.
(b) If Robinson is discovered by a world market in which Pf = 5, and Pg = 1,
determine his productive optimum Q* and consumption optimum C. (Graph
the results).
Transcribed Image Text:3. Let Robinson Crusoe's Production Possibility curve be given by the equation: ƒ²/2 + g = 150 where f is the amount of fish and g is the amount of grain he can obtain. (think of g as plotted on the vertical axis and f as plotted on the horizontal axis). Robinson's marginal rate of substitution in consumption is MRSc = 9/f. (a) Find Robinson's production-consumption optimum R*. (b) If Robinson is discovered by a world market in which Pf = 5, and Pg = 1, determine his productive optimum Q* and consumption optimum C. (Graph the results).
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