American Tire and Rubber Company sells identical radial tires under the firm's own brand name and private label tires to discount stores. The radial tires sold in both sub-markets are identical, and the marginal cost is constant at $10 per tire for both types. The firm has estimated the following demand curves for each of the markets.
PB = 70 - 0.0005QB (brand name)
PP = 20 - 0.0002QP (private label).
Quantities are measured in thousands per month and price refers to the wholesale price. American currently sells brand name tires at a wholesale price of $28.50 and private label tires for a price of $17. Are these prices optimal for the firm?
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