Assume that the production technology is such that each unit of output requires one unit of labor and that the government has a revenue requirement of one unit of labor. Also assume that there is a single consumer. a. Using a diagram, describe how the optimal tax on the consumption good is determined.

ENGR.ECONOMIC ANALYSIS
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Assume that the production technology is such that each unit of output requires one unit of labor and that the government has a revenue requirement of one unit of labor. Also assume that there is a single consumer.

a. Using a diagram, describe how the optimal tax on the consumption good is determined.

Now assume that the consumer has preferences given by U = log(x) + log(10 + ), where x is consumption and  is labor supply.

b. By maximizing utility subject to the budget constraint qx + w = 0, construct the consumer’s offer curve.

c. Treating the equations of the production frontier and the offer curve as a simultaneous system, determine the optimal tax rate.

 

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