. (a) If a firm sells Q tons of a product, the price P received per ton is P = 1000 - 13Q. The price it has to pay per ton is P = 800 + 15 Q. In addition, it has transportation costs of 100 per ton. Express the firm's profit \pi as a function of Q, the number of tons sold, and find the profit-maximizing quantity. (b) Suppose the government imposes a tax on the firm's product of 10 per ton. Find the new expression for the firm's profits \pi^and the new profit- maximizing quantity.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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. (a) If a firm sells Q tons of a product, the price P received per ton is P = 1000 - 13Q. The
price it has to pay per ton is P = 800 + 15 Q. In addition, it has transportation costs of 100
per ton. Express the firm's profit \pi as a function of Q, the number of tons sold, and find the
profit-maximizing quantity. (b) Suppose the government imposes a tax on the firm's product
of 10 per ton. Find the new expression for the firm's profits \pi^and the new profit-
maximizing quantity.
Transcribed Image Text:. (a) If a firm sells Q tons of a product, the price P received per ton is P = 1000 - 13Q. The price it has to pay per ton is P = 800 + 15 Q. In addition, it has transportation costs of 100 per ton. Express the firm's profit \pi as a function of Q, the number of tons sold, and find the profit-maximizing quantity. (b) Suppose the government imposes a tax on the firm's product of 10 per ton. Find the new expression for the firm's profits \pi^and the new profit- maximizing quantity.
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