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anonymous

  • 5 years ago

If the profit in $ per day resulting for the sales of x units of a good is P(x) = 27.5x + 0.0175x^2 - 53. Find the marginal profit when the sales level x is 48 units per day.

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  1. amistre64
    • 5 years ago
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    just plug in 48 for "x" in the equation

  2. amistre64
    • 5 years ago
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    or is it looking for the slope of the graph at x = 48? if so take the derivative

  3. anonymous
    • 5 years ago
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    Yes it's using the derivative.

  4. amistre64
    • 5 years ago
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    marginal is additional profit, the rate of change of profit sounds apt..

  5. anonymous
    • 5 years ago
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    Can you explain a bit more cause this is tricking me up.

  6. amistre64
    • 5 years ago
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    you got the derivative yet?

  7. amistre64
    • 5 years ago
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    27.5 +.03x right?

  8. amistre64
    • 5 years ago
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    .035x sounds better eh

  9. anonymous
    • 5 years ago
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    :-)

  10. amistre64
    • 5 years ago
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    29.18 is what the calulator spits out ;)

  11. amistre64
    • 5 years ago
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    profit is increasing at a rate of 29.18 at 48 units

  12. anonymous
    • 5 years ago
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    Going back over my working now to see if I get the same as you. Thanks for your help again.

  13. amistre64
    • 5 years ago
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    youre welcome

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