The State government is considering building a new highway. Linda lives near the proposed highway. Her demand for trips per month is given by Q = 60 - 0.5P, where Q is the number of trips and P is the average cost per trip in cents. The current average cost per trip is 60 cents, and the new highway is expected to reduce it to 40 cents. A legislator asks Linda how much she is willing to pay per month for the construction of the new highway.    Linda: I am making 30 trips now when it costs me $0.60 per trip. With the new highway, the cost will be reduced to $0.40, so I am willing to pay up to 30 (0.6 - 0.4) = $6 per month.    Do you agree with her reasoning?

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The State government is considering building a new highway. Linda lives near the proposed highway. Her demand for trips per month is given by Q = 60 - 0.5P, where Q is the number of trips and P is the average cost per trip in cents. The current average cost per trip is 60 cents, and the new highway is expected to reduce it to 40 cents. A legislator asks Linda how much she is willing to pay per month for the construction of the new highway. 
 
Linda: I am making 30 trips now when it costs me $0.60 per trip. With the new highway, the cost will be reduced to $0.40, so I am willing to pay up to 30 (0.6 - 0.4) = $6 per month. 
 
Do you agree with her reasoning?

 

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