2. Suppose that a market consists of 650 identical fims, all with the same cost curve: TC(q) = 325q² + 0.3. The market demand is given by Qd(p) = 50 – p

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Please answer from (d)

Take the reference from following answer till solve answer (c).

2.
Suppose that a market consists of 650 idetical fims, all with the same cost
curve:
TC(q) = 325q² + 0.3. The market demand is given by Qd(p) = 50 – p
(a) What is the equilibriun price and quantity?
(b) What quantity must each firm produce and sell at equilibrium?
(c) Do fims make positive profits in the market equilibrium?
(d) Calculate consumers' surplus, producers' surplus and total surplus.
(e) The government imposes a tax of 12 per unit of the product on the suppliers. What will be
the new equilibrium price and quantity?
(f) Do firms make positive profits at market equilibrium?
(g) What will be the new consumes surplus, produces surplus and total surplus?
(h) Calculate the value of the DWL imposed by the tax.
Transcribed Image Text:2. Suppose that a market consists of 650 idetical fims, all with the same cost curve: TC(q) = 325q² + 0.3. The market demand is given by Qd(p) = 50 – p (a) What is the equilibriun price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do fims make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus. (e) The government imposes a tax of 12 per unit of the product on the suppliers. What will be the new equilibrium price and quantity? (f) Do firms make positive profits at market equilibrium? (g) What will be the new consumes surplus, produces surplus and total surplus? (h) Calculate the value of the DWL imposed by the tax.
a. Marginal Cost:
dTC
dq
d(325q +0.3)
dq
= 650g
P = 650q
q = P/650
Market supply:
= 650g
= 650 * P/650
= P
At equilibrium,
Qs = Qd
Р- 50 — Р
2P = 50
P = 25
Hence, P=25,Q=25
b. Quantity each firm would sell at equilibrium:
= P/650
= 650/650
= 1
Hence, each firm would produce 1.
c. Profits at equilibrium:
Qln = 25/650 = 0. 038
ATC = TClq
= 325q²lq + 0. 3lq
= 325 (1/2) + 0. 3/2
= 162. 5 + 0. 15
= 162. 65
As ATC is more than P, there would be negative
profits.
Transcribed Image Text:a. Marginal Cost: dTC dq d(325q +0.3) dq = 650g P = 650q q = P/650 Market supply: = 650g = 650 * P/650 = P At equilibrium, Qs = Qd Р- 50 — Р 2P = 50 P = 25 Hence, P=25,Q=25 b. Quantity each firm would sell at equilibrium: = P/650 = 650/650 = 1 Hence, each firm would produce 1. c. Profits at equilibrium: Qln = 25/650 = 0. 038 ATC = TClq = 325q²lq + 0. 3lq = 325 (1/2) + 0. 3/2 = 162. 5 + 0. 15 = 162. 65 As ATC is more than P, there would be negative profits.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Partial Equilibrium Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education