Question 6 A market has a demand function given by the equation Qd = 180 – 2P, and a supply function given by the equation Qs = -15 + P. The market is government-regulated with a price support per unit and production quotas. (NOTE: A production quota is a restriction on the quantity of the good that can be produced. Firms are not allowed to produce more than the quota) (a) If the price is set at $72 per unit, what production quota is needed to make sure there are no shortages or surpluses? HINT: Sketch the supply and demand equations. Answer:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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Question 6
A market has a demand function given by the equation Qd = 180 – 2P, and a supply function given by the equation Qs
= -15 + P. The market is government-regulated with a price support per unit and production quotas. (NOTE: A
production quota is a restriction on the quantity of the good that can be produced. Firms are not allowed to
%3D
%D
produce more than the quota)
(a) If the price is set at $72 per unit, what production quota is needed to make sure there are no shortages or
surpluses?
HINT: Sketch the supply and demand equations.
Answer:
Transcribed Image Text:Question 6 A market has a demand function given by the equation Qd = 180 – 2P, and a supply function given by the equation Qs = -15 + P. The market is government-regulated with a price support per unit and production quotas. (NOTE: A production quota is a restriction on the quantity of the good that can be produced. Firms are not allowed to %3D %D produce more than the quota) (a) If the price is set at $72 per unit, what production quota is needed to make sure there are no shortages or surpluses? HINT: Sketch the supply and demand equations. Answer:
Considering the price support and the quota, calculate
(i) the consumer surplus,
Answer:
Transcribed Image Text:Considering the price support and the quota, calculate (i) the consumer surplus, Answer:
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