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Suppose there is a nurse who is facing the following problem: he likes consumption C but...

Suppose there is a nurse who is facing the following problem: he likes consumption C but he can only get one unit of consumption every time that he earns a dollar (1 dollar = 1 unit of C)
He works as a nurse in a hospital and earns the minimum wage of 10 dollars per hour. This person has the liberty to work as many hours as he pleases but has only 24 x 30 = 720 hours available in a moth.
Assume his preferences over consumption and leisure are capture by the following utility function U( l , c ) = l c
Therfore the marginal utility of l is ??? = ? and the marginal utility of c is ??? = ?
a. What is the budget line of this nurse?
b. What is the marginal rate of substitution of this nurse?
c. What is the amount of hours that this nurse will supply to the market at the prevailing wage?
d. How many units of consumption will she be able to get based on his optimal decision of how
much to work and how much to enjoy leisure?
Remember: MRS = - ??? /???
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