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Econ 444 Problem Set #1

Econ 444 Problem Set #1

Econ 444 Problem Set #1

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1. The promoters of FI technology point out that although it may appear more<br />

expensive at first, it benefits from greater ”economies of scale” than RI.<br />

Explain what they mean, feel free to use a numerical example.<br />

2. What is the individual supply curve of a firm using FI technology?<br />

3. Given that there are now 100 RI firms and 10 FI firms, what is the aggregate<br />

supply curve for this market?<br />

4. What is the new short-run equilibrium price in this market?<br />

5. Is the market in long-run equilibrium? Explain why or why not.<br />

6. You are hired as a consultant by a firm using FI technology. What do you<br />

suggest they do?<br />

<strong>Problem</strong> 3. Suppose Global Shoveling Co. has gained exclusive rights to shovel snow in<br />

State College. The demand for shoveling is given by Q = 3000 − 30P . The total cost<br />

function for shoveling is C(Q) = 6Q for Q miles of road.<br />

1. What is the marginal cost function for Global Shoveling Co.?<br />

2. Write down the monopolist’s maximization problem, assume the monopolist<br />

3. chooses how much road to shovel.<br />

4. How much road should Global Shoveling Co. shovel in State College?<br />

5. What is the price at this level of output?<br />

6. Is this outcome efficient? If so, why? If not, what is the efficient level of<br />

output?<br />

7. What is the Lerner Index for Shoveling services in State College? What about<br />

the HHI?<br />

8. Suppose the demand for shoveling services in State College was instead<br />

given by Qd = 3000 − 100P . How would Global Shoveling Co. Lerner index<br />

change? Would this lead to a more or less efficient outcome? Explain.<br />

<strong>Econ</strong> <strong>444</strong>: <strong>Problem</strong> <strong>Set</strong> <strong>#1</strong> 3 <strong>Problem</strong> 4. The following firms compete within the same<br />

industry:

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