A wholesaler (upstream firm) sells a product to a retailer (downstream firm). Both the wholesaler and the retailer are monopolists. The wholesaler faces a constant marginal cost of $2 and charges the retailer a wholesale price w. The retailer resells the product to final consumers at price Pand the wholesale price w is its only cost. The demand for the good is P = 12 - Q. For your calculations below, assume that both the P and w are measured in dollars per unit. Hint The retailer's profit function is = (P – w)Q. Find the profit-maximizing retail and wholesale prices and quantities.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A wholesaler (upstream firm) sells a product to a retailer (downstream firm). Both the wholesaler and the retailer are
monopolists. The wholesaler faces a constant marginal cost of $2 and charges the retailer a wholesale price w. The retailer
resells the product to final consumers at price Pand the wholesale price w is its only cost. The demand for the good is
P = 12 – Q. For your calculations below, assume that both the P and w are measured in dollars per unit.
Hint: The retailer's profit function is T = (P – w)Q.
a
Find the profit-maximizing retail and wholesale prices and quantities.
Transcribed Image Text:A wholesaler (upstream firm) sells a product to a retailer (downstream firm). Both the wholesaler and the retailer are monopolists. The wholesaler faces a constant marginal cost of $2 and charges the retailer a wholesale price w. The retailer resells the product to final consumers at price Pand the wholesale price w is its only cost. The demand for the good is P = 12 – Q. For your calculations below, assume that both the P and w are measured in dollars per unit. Hint: The retailer's profit function is T = (P – w)Q. a Find the profit-maximizing retail and wholesale prices and quantities.
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