The demand and supply functions for basic cable TV in the local market are given as: Calculate the consumer and producer surplus
1 answer:
Answer: Hello your question is poorly written attached below is the complete question
answer:
a) Cs = 800,000 , Ps = 1,500,000
b) Cs = 1437500, Ps = 525,000
Explanation:
Demand function ( Qd ) = 200,000 - 4000 P
supply function ( Qs ) = 20,000 + 2000 P
at equilibrium : 200,000 - 4000P = 20,000 + 2000P
therefore ; P = 180,000 / 6000 = 30
Q = 20,000 + 2000 ( 30 ) = 80,000
<u>a) Determine consumer and producer surplus in the market</u>
consumer surplus ( Cs ) This is the area above the price and below the demand curve = 1/2 * ( 50 - 30 ) 80,000 = 800,000
producer surplus ( Ps ) This is the area above supply and below price
= 30 * ( 80,000 ) - 1/2 (80,000 - 20,000 ) (30)
= 1,500,000
<u>b) Determine the new levels of consumer and producer surplus with a price ceiling of $15 </u>
Pc (ceiling price ) = $15
Qd = 200,000 - 4000 ( 15 ) = 140,000
Qs = 20,000 + 2000 ( 15 ) = 50,000
∴ New consumer surplus = area ( a , Pc, b, d )
= ( 30 - 15 ) (50,000) + 1/2(50-30) (80,000) - 1/2 (80,000 - 50,000 ) (37.5 - 30)
= 1437500
New producer surplus = area ( Pc , b, e 0 )
= ( 15 ) ( 50000) - 1/2 ( 50,000 - 20,000 ) (15)
= 525,000
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