Consider a Sraffa system that describes production with a surplus. Assume that the whole of the wage is variable. The number of commodities in the system is ?. Some are non-basic commodities. . State the economic meaning of the viability condition and express it mathematically.  . Assume that the viability condition is satisfied and the rate of profit is given exogenously at a level that is lower than the maximum rate of profit. Explain, with the help of the relevant theorem, why the solution for prices must be nonnegative. NOTE: You need to use only three equations, one for specifying the numeraire, the second for expressing the final solution of the price equations, and third for expressing the condition for nonnegative prices

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.10P
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Consider a Sraffa system that describes production with a surplus. Assume that the whole of the wage is variable. The number of commodities in the system is ?. Some are non-basic commodities.

. State the economic meaning of the viability condition and express it mathematically. 

. Assume that the viability condition is satisfied and the rate of profit is given exogenously at a level that is lower than the maximum rate of profit. Explain, with the help of the relevant theorem, why the solution for prices must be nonnegative. NOTE: You need to use only three equations, one for specifying the numeraire, the second for expressing the final solution of the price equations, and third for expressing the condition for nonnegative prices.

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