anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
just plug in 48 for "x" in the equation
amistre64
  • amistre64
or is it looking for the slope of the graph at x = 48? if so take the derivative
anonymous
  • anonymous
Yes it's using the derivative.

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amistre64
  • amistre64
marginal is additional profit, the rate of change of profit sounds apt..
anonymous
  • anonymous
Can you explain a bit more cause this is tricking me up.
amistre64
  • amistre64
you got the derivative yet?
amistre64
  • amistre64
27.5 +.03x right?
amistre64
  • amistre64
.035x sounds better eh
anonymous
  • anonymous
:-)
amistre64
  • amistre64
29.18 is what the calulator spits out ;)
amistre64
  • amistre64
profit is increasing at a rate of 29.18 at 48 units
anonymous
  • anonymous
Going back over my working now to see if I get the same as you. Thanks for your help again.
amistre64
  • amistre64
youre welcome

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