3. Consider a market for a good with the following demand function: Q = 120 - 2p where Qis quantity demanded and p is the price. Suppose the cost of producing Q units of the good be: C(Q) = Q² (a) If this market is perfectly competitive, what will be market price (pc) of the good and total output, (Qc). (b) If i J of (a) th
3. Consider a market for a good with the following demand function: Q = 120 - 2p where Qis quantity demanded and p is the price. Suppose the cost of producing Q units of the good be: C(Q) = Q² (a) If this market is perfectly competitive, what will be market price (pc) of the good and total output, (Qc). (b) If i J of (a) th
Chapter1: Making Economics Decisions
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Only part (c) please, thank you!
![**Problem 3: Market Demand and Cost Analysis**
Consider a market for a good with the following demand function:
\[ Q = 120 - 2p \]
where \( Q \) is the quantity demanded and \( p \) is the price. Suppose the cost of producing \( Q \) units of the good is:
\[ C(Q) = \frac{1}{4}Q^2 \]
**Tasks:**
(a) Calculate the market price (\( p_c \)) and total output (\( Q_c \)) if the market is perfectly competitive.
(b) Determine the monopolistic price (\( p_m \)) and the quantity of the good produced (\( Q_m \)) if the market is served by a monopolist (single firm).
(c) Compute the inefficiency resulting from transitioning from a perfectly competitive to a monopolistic market, as indicated by the deadweight loss.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3585354-64d7-4f4a-b055-4a9b75b3799d%2F36b57057-df8f-4d17-b30a-c1798be8a892%2Fmyetd4_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 3: Market Demand and Cost Analysis**
Consider a market for a good with the following demand function:
\[ Q = 120 - 2p \]
where \( Q \) is the quantity demanded and \( p \) is the price. Suppose the cost of producing \( Q \) units of the good is:
\[ C(Q) = \frac{1}{4}Q^2 \]
**Tasks:**
(a) Calculate the market price (\( p_c \)) and total output (\( Q_c \)) if the market is perfectly competitive.
(b) Determine the monopolistic price (\( p_m \)) and the quantity of the good produced (\( Q_m \)) if the market is served by a monopolist (single firm).
(c) Compute the inefficiency resulting from transitioning from a perfectly competitive to a monopolistic market, as indicated by the deadweight loss.
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