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Math Help - If x1 and x2 are the numbers of units produced at plant 1 and plant 2, respectively,

  1. #1
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    If x1 and x2 are the numbers of units produced at plant 1 and plant 2, respectively,

    A pharmaceutical corporation has two plants that produce the same over-the-counter medicine. If x1 and x2 are the numbers of units produced at plant 1 and plant 2, respectively, then the total revenue for the product is given by

    R = 200x1 + 200x2 - 4x1^2 - 8x1x2 - 4x2^2

    If x1 = 4 and x2 = 12, find the following.

    a) the marginal revenue for plant 1, ∂R/∂x1

    b) the marginal revenue for plant 2, ∂R/∂x2
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  2. #2
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    Quote Originally Posted by ewkimchi View Post
    A pharmaceutical corporation has two plants that produce the same over-the-counter medicine. If x1 and x2 are the numbers of units produced at plant 1 and plant 2, respectively, then the total revenue for the product is given by

    R = 200x1 + 200x2 - 4x1^2 - 8x1x2 - 4x2^2

    If x1 = 4 and x2 = 12, find the following.

    a) the marginal revenue for plant 1, ∂R/∂x1

    b) the marginal revenue for plant 2, ∂R/∂x2
    You know that the partial derivative of a function with respect to a variable is the derivative of that function with wrspect to that variable when all the others are treated as constants.

    So what exactly is the problem you are having here?

    CB
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