Denise
  • Denise
How do I find the maximum profit.... 0.8x^2+60x+120....
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
do you know what the graph of this equation is going to resemble?
amistre64
  • amistre64
it looks like an upside down "U".... or rather, a frown.
amistre64
  • amistre64
the highest point of this graph tells you the max amount it can produce; and we call that point of this graph the vertex.

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amistre64
  • amistre64
if you know calculus you can also get it by taking the derivative and setting it equal to zero; which gives you the vertex anyway :)
amistre64
  • amistre64
the x value of the vertex is given by the determinate of the quadratic formula: -b/2a in this case that amounts to: -60/2(.8)
amistre64
  • amistre64
the max profit is then: .8(-15/.4)^2 +60(-15/.4) + 120 = max profits
amistre64
  • amistre64
either i miscalculated or its a bad equation to begin with :) I get: -1005
amistre64
  • amistre64
its a bad equation :) http://www.wolframalpha.com/input/?i=0.8x%5E2%2B60x%2B120
amistre64
  • amistre64
that should be a (-0.8x^2) if anything
amistre64
  • amistre64
otherwise the max profits are infinite :)
anonymous
  • anonymous
there is no maximum. as stated the problem might be -x^2? Is there a domain given for X? If this problem is stated correctly it will be a boundary for X.

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