Three individuals, Juan, Madison and Hassan, make up the entire market for some private good. Their marginal willingness-to-pay functions for this good are shown below. The marginal cost of providing this good is MC =25 + 0.25Q Juan MWTP = 100 -Q %3D Madison MWTP = 210 - 2.10 %3D Hassan MWTP = 240 - 2.4Q a) Derive the aggregate MWTP function for this private good b) What is the socially-efficient price and quantity? Graph the aggregate MWTP and MC curve, and identify the socially-efficient price and quantity. c) How much of this good will Juan, Madison and Hassan each decide to consume at this price? d) Compute total willingness-to-pay, total cost and net value at the socially-efficient outcome.

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Three individuals, Juan, Madison and Hassan, make up the entire market for some private good.
Their marginal willingness-to-pay functions for this good are shown below. The marginal cost of
providing this good is MC =25 + 0.25Q
Juan
MWTP = 100 -Q
Madison MWTP = 210 - 2.10
Hassan MWTP = 240 - 2.4Q
a) Derive the aggregate MWTP function for this private good
b) What is the socially-efficient price and quantity? Graph the aggregate MWTP and MC curve,
and identify the socially-efficient price and quantity.
c) How much of this good will Juan, Madison and Hassan each decide to consume at this price?
d) Compute total willingness-to-pay, total cost and net value at the socially-efficient outcome.
Transcribed Image Text:Three individuals, Juan, Madison and Hassan, make up the entire market for some private good. Their marginal willingness-to-pay functions for this good are shown below. The marginal cost of providing this good is MC =25 + 0.25Q Juan MWTP = 100 -Q Madison MWTP = 210 - 2.10 Hassan MWTP = 240 - 2.4Q a) Derive the aggregate MWTP function for this private good b) What is the socially-efficient price and quantity? Graph the aggregate MWTP and MC curve, and identify the socially-efficient price and quantity. c) How much of this good will Juan, Madison and Hassan each decide to consume at this price? d) Compute total willingness-to-pay, total cost and net value at the socially-efficient outcome.
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