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Suppose there are two commodities, food, c, and work, L. Food is a "good" and work is a "bad".The prevailing prices of c and L are, Pc= $1/unit and w = -$10/hr. (the price of consuming another unit of L is -$10/hr) Suppose you can work no more than 24 hours and have no source of income other than your wage earnings.
a. Draw an indifference map for L and c.
b. Draw the budget constraint for L and c. How much food could they buy if L=0 and L=24.
c. Assuming your preferences for L and c are represented by, u(c,L) = c - L^2/2 , determine the optimal amounts of c and L.
d. Determine the demand functions for L and c as functions of w and Pc.
In the late eighteenth century, the price of bread in New York City was controlled, set at a predetermined price above the market price. Draw a diagram showing the effect of the policy. Did the policy act as a price ceiling or a price floor?
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Gene has the following utility function: U = XY + 2Y, the Px = $4, the Py = $1 and I=$6. What is the slope of the budget constraint? Find Gene’s MRSx,y. Is the MRSx,y increasing, decreasing, or constant with respect to X?
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