You are the sole producer of a novel polymer that has the potential to transform a number of other industries: synthetic clothing, medical devices, and sports equipment, for example. You have a patent on the chemical structure for this polymer for nine more years. From the entirety of industries that will use your product, you face a demand curve given by P = 400-10Q. (Units are in thousands of tons produced per year.) Your marginal cost curve is given by MC = 5+ 15Q. A. Identify the quantity at which you'll want to produce, Q', to maximize profit. (Round down to the nearest thousand tons of production.)

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Chapter1: Making Economics Decisions
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2. You are the sole producer of a novel polymer that has the potential to transform a
number of other industries: synthetic clothing, medical devices, and sports
equipment, for example. You have a patent on the chemical structure for this
polymer for nine more years. From the entirety of industries that will use your
product, you face a demand curve given by P = 400-10Q. (Units are in thousands
of tons produced per year.) Your marginal cost curve is given by MC = 5 + 15Q.
A. Identify the quantity at which you'll want to produce, Q', to maximize profit.
(Round down to the nearest thousand tons of production.)
P = 400-10Q
10Q=400-P
Q=40-0.1P
Q will be 40-0.1P units to maximize the profit.
Transcribed Image Text:2. You are the sole producer of a novel polymer that has the potential to transform a number of other industries: synthetic clothing, medical devices, and sports equipment, for example. You have a patent on the chemical structure for this polymer for nine more years. From the entirety of industries that will use your product, you face a demand curve given by P = 400-10Q. (Units are in thousands of tons produced per year.) Your marginal cost curve is given by MC = 5 + 15Q. A. Identify the quantity at which you'll want to produce, Q', to maximize profit. (Round down to the nearest thousand tons of production.) P = 400-10Q 10Q=400-P Q=40-0.1P Q will be 40-0.1P units to maximize the profit.
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