The demand functions of individual A and B for a public good (G) is given by: PA = 500-2G & PB = 200- 0.8G where, P = price offered by each individual (RM) and G = units of public goods. Suppose the marginal cost (MC) to produce G is constant, RM250. a. Derive the aggregate demand equation for the above public good. b. Sketch all the information provided above in the diagram below. [Note: Show all the demand and marginal cost functions in detail] Harga / Price 800 600 400 200 100 200 300 Kuantiti / Quantity c. Calculate the total quantity of public goods produced assuming no free riders are present (G*). Show this result in the above diagram. d. Calculate the prices to be paid by individuals A (PA) and B (PB), respectively. e. Calculate the total quantity of public goods produced (G) assuming individual B is a free rider.
The demand functions of individual A and B for a public good (G) is given by: PA = 500-2G & PB = 200- 0.8G where, P = price offered by each individual (RM) and G = units of public goods. Suppose the marginal cost (MC) to produce G is constant, RM250. a. Derive the aggregate demand equation for the above public good. b. Sketch all the information provided above in the diagram below. [Note: Show all the demand and marginal cost functions in detail] Harga / Price 800 600 400 200 100 200 300 Kuantiti / Quantity c. Calculate the total quantity of public goods produced assuming no free riders are present (G*). Show this result in the above diagram. d. Calculate the prices to be paid by individuals A (PA) and B (PB), respectively. e. Calculate the total quantity of public goods produced (G) assuming individual B is a free rider.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![The demand functions of individual A and B for a public good (G) is given by:
PA = 500-2G
&
PB = 200 -0.8G
where, P = price offered by each individual (RM) and G = units of public goods. Suppose the
marginal cost (MC) to produce G is constant, RM250.
a. Derive the aggregate demand equation for the above public good.
b. Sketch all the information provided above in the diagram below. [Note: Show all the demand
and marginal cost functions in detail]
Harga / Price
800
600
400
200
100
200
300
Kuantiti / Quantity
c. Calculate the total quantity of public goods produced assuming no free riders are present
(G*). Show this result in the above diagram.
d. Calculate the prices to be paid by individuals A (PA) and B (PB), respectively.
e. Calculate the total quantity of public goods produced (G) assuming individual B is a free
rider.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2002309f-84a8-4c16-8898-c89707fd0633%2Fc13f959a-9e1a-418e-92c4-538207a42583%2Fepjcblc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The demand functions of individual A and B for a public good (G) is given by:
PA = 500-2G
&
PB = 200 -0.8G
where, P = price offered by each individual (RM) and G = units of public goods. Suppose the
marginal cost (MC) to produce G is constant, RM250.
a. Derive the aggregate demand equation for the above public good.
b. Sketch all the information provided above in the diagram below. [Note: Show all the demand
and marginal cost functions in detail]
Harga / Price
800
600
400
200
100
200
300
Kuantiti / Quantity
c. Calculate the total quantity of public goods produced assuming no free riders are present
(G*). Show this result in the above diagram.
d. Calculate the prices to be paid by individuals A (PA) and B (PB), respectively.
e. Calculate the total quantity of public goods produced (G) assuming individual B is a free
rider.
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