The government knows that as a monopolist Spectral is earning supernormal profits. A regulator is considering a lower price. Assume that the regulator sets a price of $20 and that Spectral can choose to supply as many households at this price as it would like. g) At the regulated price of $20, what would be the demand for internet services? h) At the price of $20 would Spectral be willing to supply all of the units that consumers wish to buy? Briefly explain.

Microeconomic Theory
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Chapter10: Cost Functions
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Please help solve part g and h only. thank you

The government knows that as a monopolist Spectral is earning supernormal profits. A
regulator is considering a lower price. Assume that the regulator sets a price of $20 and
that Spectral can choose to supply as many households at this price as it would like.
g) At the regulated price of $20, what would be the demand for internet services?
h) At the price of $20 would Spectral be willing to supply all of the units that
consumers wish to buy? Briefly explain.
Transcribed Image Text:The government knows that as a monopolist Spectral is earning supernormal profits. A regulator is considering a lower price. Assume that the regulator sets a price of $20 and that Spectral can choose to supply as many households at this price as it would like. g) At the regulated price of $20, what would be the demand for internet services? h) At the price of $20 would Spectral be willing to supply all of the units that consumers wish to buy? Briefly explain.
2. Spectral provides internet services in Winnebago. The production function for Spectral
is given by the following: Q=f(L,K) = L0.6K0.4 where L represents man-hours, K
represents machine hours and output Q is measured in households served. The price of an
hour of labor is $6 and the price of an hour of machine time is $4.
a) Given the input prices and the production function set up the cost minimization
problem. Solve the cost minimization problem to determine the (compensated)
factor demands for labor and machines. Find the variable cost function.
Assume for the remainder of the question that the fixed costs of Spectral are $250.
b) Given the fixed costs what are the average costs of Spectral? What is the marginal
cost curve of Spectral. Illustrate the two cost curves in the diagram.
c) For what values of Q do Spectral's cost curves exhibit "scale" economies?
Because of Spectral's cost structure it is a monopolist in Winnebago. Inverse demand for
internet services in Winnebago is given by P = 110 -0.1Q where Q is again measured in
households and P is the price of serving a household.
d) Given its cost structure and the market demand, how many households will
Spectral choose to serve? What price will it charge?
e) In your cost diagram for part (b) illustrate the demand curve and marginal revenue
curve for this market. Indicate the profit maximizing price and quantity that you
found in part (d).
f) In your diagram for part (b) illustrate the profits of Spectral at the profit
maximizing price and quantity.
Transcribed Image Text:2. Spectral provides internet services in Winnebago. The production function for Spectral is given by the following: Q=f(L,K) = L0.6K0.4 where L represents man-hours, K represents machine hours and output Q is measured in households served. The price of an hour of labor is $6 and the price of an hour of machine time is $4. a) Given the input prices and the production function set up the cost minimization problem. Solve the cost minimization problem to determine the (compensated) factor demands for labor and machines. Find the variable cost function. Assume for the remainder of the question that the fixed costs of Spectral are $250. b) Given the fixed costs what are the average costs of Spectral? What is the marginal cost curve of Spectral. Illustrate the two cost curves in the diagram. c) For what values of Q do Spectral's cost curves exhibit "scale" economies? Because of Spectral's cost structure it is a monopolist in Winnebago. Inverse demand for internet services in Winnebago is given by P = 110 -0.1Q where Q is again measured in households and P is the price of serving a household. d) Given its cost structure and the market demand, how many households will Spectral choose to serve? What price will it charge? e) In your cost diagram for part (b) illustrate the demand curve and marginal revenue curve for this market. Indicate the profit maximizing price and quantity that you found in part (d). f) In your diagram for part (b) illustrate the profits of Spectral at the profit maximizing price and quantity.
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