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17 July, 17:03

Suppose the revenue from producing (and selling) x units of a product is given by Upper R (x) equals 10 x minus. 04 x squared dollars.

(a) Find the marginal revenue at a production level of 20.

(b) Find the production levels where the revenue is $400.

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  1. 17 July, 18:42
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    marginal revenue is - 6

    and production levels 200, 50

    Explanation:

    given data

    R (x) = 10 x - 0.04 x²

    solution

    we have given

    R (x) = 10 x - 0.04 x²

    so here R' (x) is

    R' (x) = 10 (1) - 0.4 (2x)

    R' (x) = 10 - 0.8 x ... 1

    so here at x is 20 marginal revenue will be

    R' (20) = 10 - 0.8 (20)

    R' (20) = 10 - 16

    R' (20) = - 6

    and

    when revenue is $400

    R (x) = 400

    400 = 10 x - 0.04 x²

    x = 200, 50
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