oncerned about the encroachment of commercial buildings in the Wakamow Valley

oncerned about the encroachment of commercial buildings in the Wakamow Valley, one of the residents of Scawana has proposed that the village purchase rights to wilderness land, in order that it may be preserved.The village of Scawana is small, comprising only five families. Four of these attended the first town meeting to determine the amount of wilderness to preserve, the fifth was out of the province at the time.Wilderness preservation is costly, and the group of families must decide how much of the wilderness to save. The cost of preserving “A” acres of wilderness isC(A)=40A + (A^2)/2The four families are represented by scrupulously honest individuals, who reveal that each family’s valuation of an acre of wilderness is given by the following (surprisingly identical) willingness-to-pay (P) function:P(A)=80-AIf the cost of preserving the optimal amount of wilderness is divided equally among the four participating families, what is the net benefit to each family?

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