1. The profit of an organization is calculated by the function P(x) = x

^{2}- 4000x + 7800000, where x is the number of units sold. If the net profit is 3800000, find the number of items sold.
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Fairport, NY

Raymond,

We want to find the value of x that makes P(x) = 3,800,000. So we have

3,800,000=x^{2}-4000x+7,800,000, subtracting 3,800,000 from both sides

x^{2}-4000x+4,000,000 = 0 The solution of this quadratic is x=2000 is the number of items sold

Jim

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