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= Suppose that a consumer can choose between only two goods: relaxation (R) and consumption (0). R is measured in hours and costs a: (in

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= Suppose that a consumer can choose between only two goods: relaxation (R) and consumption (0). R is measured in hours and costs a: (in /hour), where w is the hourly wage rate. In other words, each hour spent relaxing could have been spent working and earning m. C is measured in continuous units and costs p (in / unit). If (RC) is the consumer's daily endowment of hours and consumption units, then her budget constraint is 111R + 130 = 1111? +pC'.A1so, if L is the daily labour supplied (in hours), then R | L = R. The endowment Slutsky equation for relaxation is % = 613%? + (R R']%, where R\" is the Marshallian demand for relaxation, Rh is the Hicksian demand for relaxation, and m is income. If relaxation is a normal good, then will the quantity of labour supplied always increase with the wage rate? Explain your answer in terms of the substitution effect, the ordinary income e'ect, and the endowment income eect. Sketch the resulting labour supply curve

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