Some economists believe that the u. s. economy as a whole can be modeled with the following production function, called the cobb-douglas production function: yy = = ak13l23ak13l23 where yy is the amount of output, kk is the amount of capital, ll is the amount of labor, and aa is a parameter that measures the state of technology. for this production function, the marginal product of labor is:

If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p − 2q = 10, compare the quantity demanded and the quantity supplied when the price is $90. quantity demanded pairs of shoes quantity supplied pairs of shoes will there be a surplus or shortfall at this price? there will be a surplus. there will be a shortfall.

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

In the supply-and-demand schedule shown above, at the lowest price of $50, producers supply music players and consumers demand music players.