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Can you please help me to solve this?
1. In Baggs, Wyoming, cattle can be produced according to the following process: C = G/10 + P/40, where C is the number of cattle, G are bushels of grain, and P are acres of pasture. If grain costs $4 per bushel and pasture costs $4 per acre, how many cattle can Rancher Roy produce with a budget of $4,000?
2. An industry has 100 firms. These firms have identical production functions. In the short run, each firm has fixed costs of $200. There are two variable factors in the short run and output is given by y = (min{x1, 4x2})1/2. The cost of factor 1 is $2 per unit and the cost of factor 2 is $4 per unit. In the short run, the industry supply curve is given by
a. Q = 100p/6.
b. Q = 100p/4.
c. Q = 300p1/2.
d. the part of the line Q = 50(min{2, 16}) for which
pQ > 200/Q.
e. None of the above.
3. Suppose that all firms in a given industry have the same supply curve given by Si(p) = 2p when p is greater than or equal to $2 and Si(p) = 0 when p is less than $2. Suppose that market demand is given by D(p) = 12 p. If firms continue to enter the industry so long as they can do so profitably, the equilibrium price must be closest to
4. Chirimollas grow only on the island of Socorro, off the coast of Mexico. They need very little soil, so virtually an unlimited supply can be grown at a cost of $4 per unit. When they are exported to the United States, half of the chirimollas that are shipped rot on the boat and are dumped in the ocean. Shipping costs are $1 for every unit that is put on board a ship. The demand function for chirimollas in the United States is given by the equation q = 10,000 20p2. If chirimollas are competitively supplied, the number of units that are sold in the United States will be
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