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Suppose that the XYZ Corp. (which is a profit-maximizing enterprise) produces “gadgets” according to the following production function: Q = 300K + 100KL + 2000L - L^2 , where Q is the number of gadgets per year, K is the amount of capital (machines) that are used, and L is the number of workers employed per year. Gadgets sell for $100 each.

a) If XYZ has 10 machines, and workers cost $100,000/year (including benefits and direct ancillary expenses), how many workers should XYZ hire?

b) If the workers cost $120,000, how many workers should XYZ hire?

c) If workers cost $100,000 but gadgets sell for $80 each, how many workers should XYZ hire?

d) If XYZ instead has 20 machines, how many workers should it hire when workers cost $100,000 and gadgets sell for $100?


Give an example of a price-setting firm and explain why you describe them in that way.


 For the price-taking “Baby Bell” firm, what is the equation of their individual demand curve?


The demand function for Product X is given by: Qdx = 10 + 0.06I - 2Px - 0.5Py + 0.7Pz  where Px  Price of good X $9.00 

Py Price of related good Y  $4.00

Pz Price of related good Z $10.00 

I Income  $250.00 

a. (i) Calculate the own Price elasticity of demand (PED) for Good X.                           

                           


Discuss the main features of the Ricardian Theory of Rent. How do these contrast with the Modern Theory of Rent?

Assume in a two-sector economy made up of agriculture and manufacturing, the government introduces a subsidy of y per hour on labour in the manufacturing sector. What will be the effect of the policy on the equilibrium wage, total employment as well as employment in agriculture and manufacturing?


Consider the following two-person simultaneous move game: column

left right up 7,3 a,a down a,a 7,3

row

Determine the Nash equilibrium/equilibria for any value of a.

b) Suppose 𝑎 = 4 will there be a Nash equilibrium in a sequential game? Assuming Column is the leader in this game show whether or not there is a Nash-equilibrium in this game


Assume the markets for cherries, muffins and tea are each perfectly competitive. (a) In the market for cherries, the equilibrium price is $1 per kilogram and the equilibrium quantity is 1000 kilograms. Calculate the price elasticity of supply if price increases to $1.20 causing the quantity supplied to increase to 1500 kilograms. 


Producer

Suppose

Firm Production Function Q=50 à ƒ ƒ ¢ ˆ šLK

MPLE 25 VE MPK = 25à ƒ ƒ ¢ ˆ š2/

suppose

Price of Labor =W= P5.

Price of Capital = t = 120

Fand the cost minimizing input Combination if the firm wants to produce

1000 units.

Q=1600

Marginal rate of substitution indicates the slope of ........ *


Budget line


Price line


Indifference set


Indifference curve


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