Question

The daily profit from producing a line of bicycles is given by P(x) = -0.01x^2 + 32x - 1000, where x is the number of bikes produced and sold, and P(x) is the profit in dollars.

          The daily profit from producing a line of bicycles is given by P(x) = -0.01x^2 + 32x - 1000, where x is the number of bikes produced and sold, and P(x) is the profit in dollars.
        

Added by John B.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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The daily profit from producing a line of bicycles is given by P(x) = -0.01x^2 + 32x - 1000, where x is the number of bikes produced and sold, and P(x) is the profit in dollars.
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Transcript

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00:01 The basic way of attacking this problem is the fact that you have a negative 200x squared right here.
00:07 So if you're trying to graph this, what's going to happen is like the curve will go up and then come back down because it's a negative parabola.
00:19 Sorry, a negative a squared value.
00:22 So the max will be up here.
00:23 And then you have this plus 92 ,000 x and then another plus number.
00:32 Well, it's actually a minus.
00:33 So my graph is very off 8 -4 -0 -0 -0 -0.
00:41 So a better graph instead of what i have would look more like this.
00:46 But anyway, in order to find that max, what you want to do is x equals negative b over 2a, and the a value is negative 200, and the b value is this 92 ,000 number.
00:58 Let me double check out of the right numbers...
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