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30 November, 11:09

jeremy and justine work for a company that receives $45 for each unit of output sold. the company has a variable cost of $25 per item and a fixed cost of $1600. determine a function that models the profit for the company based upon the conditions for revenue and expense

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  1. 30 November, 11:35
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    P (x) = 20x - 1600.

    Step-by-step explanation:

    The revenue of the company is obtained by selling each unit of output for $45.

    So. for x units of output sold the revenue will be given by

    R (x) = 45x ... (1)

    Again, the company has the expense of fixed $1600 and another expense of $25 per output of items.

    Hence, for x items the cost will be given by

    C (x) = 1600 + 25x

    Therefore, the function that models the profit of the company based upon the conditions for revenue and cost will be P (x) = R (x) - C (x)

    ⇒ P (x) = 45x - (1600 + 25x) = 20x - 1600. (Answer)
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