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13 August, 20:16

The price received for a bicycle is given by the equation b = 100 - 10x2, where x is the number of bicycles produced, in millions. It costs the company $60 to make each bicycle. What is the profit function for the company? P = - 10x2 - 60x + 100 P = - 10x3 + 40x P = - 10x2 + 40 The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth. 30 million bicycles

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  1. 13 August, 20:26
    0
    From the information given:

    Income = 100 - 10x^2

    Expenditure = 60x

    Profit function = income - expenditure = 100 - 10x^2 - 60x

    Rearranging terms, P = - 10x^2 - 60x + 100

    and this is your answer
  2. 13 August, 20:27
    0
    The answer is actually P = - 10x3 + 40x

    Then for the second part it is 1.3 million bicycles.
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