Mike, Rosie, and Shobber live in separate houses along a dark and windy road. The following represent their marginal benefits for street lights: MBMike=200-2QM MBRosie=100-QR MBShobber=100-2QS where QM represents the quantity of street lights consumed by Mike, QR is the quantity of street lights consumed by Rosie and QS is the quantity of street lights consumed by Shobber. The Mayor of their town considers street lights to be a public good and is charged with purchasing the optimal number of street lights from Boone’s Light Shop. Boone’s is willing to sell street lights for $150 per light. b. What quantity of street lights should the Mayor purchase? Why? Suppose the Mayor is able to implement a pricing scheme to charge users for the illumination services. c. How much should each individual be charged? Does the tax revenue cover the total cost of providing the optimal number of streetlights?
Mike, Rosie, and Shobber live in separate houses along a dark and windy road. The following represent their marginal benefits for street lights:
MBMike=200-2QM
MBRosie=100-QR
MBShobber=100-2QS
where QM represents the quantity of street lights consumed by Mike, QR is the quantity of street lights consumed by Rosie and QS is the quantity of street lights consumed by Shobber. The Mayor of their town considers street lights to be a public good and is charged with purchasing the optimal number of street lights from Boone’s Light Shop. Boone’s is willing to sell street lights for $150 per light.
b. What quantity of street lights should the Mayor purchase? Why? Suppose the Mayor is able to implement a pricing scheme to charge users for the illumination services.
c. How much should each individual be charged? Does the tax revenue cover the total cost of providing the optimal number of streetlights?
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