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The market for paper in a particular region has the supply and demand curvesQ D = 160, 000 − 2, 000P and Q S = −40, 000 + 2, 000P,where Q is measured in hundred-pound lots, and P is price per hundred-pound lot.There is currently no attempt to regulate the dumping of effluent into streams andrivers by the paper mills. As a result, dumping is widespread. The marginal externalcost associated with the paper production is given by the expression M EC = 0.0002Q.(a) Calculate the competitive price and output, assuming that no attempt is madeto monitor or regulate the dumping of effluent.

Question

The market for paper in a particular region has the supply and demand curvesQ D = 160, 000 − 2, 000P and Q S = −40, 000 + 2, 000P,where Q is measured in hundred-pound lots, and P is price per hundred-pound lot.There is currently no attempt to regulate the dumping of effluent into streams andrivers by the paper mills. As a result, dumping is widespread. The marginal externalcost associated with the paper production is given by the expression M EC = 0.0002Q.(a) Calculate the competitive price and output, assuming that no attempt is madeto monitor or regulate the dumping of effluent.

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Solution

To find the competitive price and output, we need to set the quantity demanded (QD) equal to the quantity supplied (QS) and solve for the price (P).

The quantity demanded is given by QD = 160,000 - 2,000P and the quantity supplied is given by QS = -40,000 + 2,000P.

Setting QD = QS gives:

160,000 - 2,000P = -40,000 + 2,000P

Solving for P gives:

4,000P = 200,000

P = 200,000 / 4,000 = 50

Substituting P = 50 into either the demand or supply equation will give the quantity. Using the demand equation:

QD = 160,000 - 2,000*50 = 160,000 - 100,000 = 60,000

So, the competitive price is 50 per hundred-pound lot and the competitive output is 60,000 hundred-pound lots.

This problem has been solved

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