Consumers' and Producers' Surplus The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related to the unit price p= -0.2x² + 140 and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by p = 0.1x² + 4x + 70. If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (Round your answers to the nearest dollar.) consumer's surplus $100 X producer's surplus 250 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consumers' and Producers' Surplus The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related to the unit price p (in dollars) by
p = −0.2x² + 140
and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
p = 0.1x² + 4x + 70.
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (Round your answers to the nearest dollar.)
consumer's surplus
$100
producer's surplus $ 250
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Transcribed Image Text:Consumers' and Producers' Surplus The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related to the unit price p (in dollars) by p = −0.2x² + 140 and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by p = 0.1x² + 4x + 70. If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (Round your answers to the nearest dollar.) consumer's surplus $100 producer's surplus $ 250 Need Help? Read It Watch It
Producers' Surplus The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is
p = 150 + 60e0.04x
dollars.
(a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at $300/mattress. (Round your answer to the nearest integer.)
23
X mattresses
(b) Use the result of part (a) to find the producers' surplus if the unit price is set at $300/mattress. (Round your answer to the nearest dollar.)
$1035
X
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Transcribed Image Text:Producers' Surplus The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is p = 150 + 60e0.04x dollars. (a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at $300/mattress. (Round your answer to the nearest integer.) 23 X mattresses (b) Use the result of part (a) to find the producers' surplus if the unit price is set at $300/mattress. (Round your answer to the nearest dollar.) $1035 X Need Help? Read It Watch It
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