The government desires to construct a road to ease congestation in that area. it conducted a survey that entailed three groups of individiduals and come up with three demand equations three groups of individuals and  came up with three demand equations as given below. Group 1: D1= 20 - 0.2P1 Group 2: D2= 35 - 0.5P2 Group 2: D3 = 40 - 0.8P3 where D is the size of the road and P is the group contribution.  If the cost of the cost of constructing the road is 5 billions  What is the optimal size of the road to be constructed? Determine each group contribbution. With calculation , explain why the road may not be constructed.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.15P
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The government desires to construct a road to ease congestation in that area. it conducted a survey that entailed three groups of individiduals and come up with three demand equations three groups of individuals and  came up with three demand equations as given below.

Group 1: D1= 20 - 0.2P1

Group 2: D2= 35 - 0.5P2

Group 2: D3 = 40 - 0.8P3

where D is the size of the road and P is the group contribution.  If the cost of the cost of constructing the road is 5 billions

  1.  What is the optimal size of the road to be constructed?
  2. Determine each group contribbution.
  3. With calculation , explain why the road may not be constructed.
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