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MA_775_DIABLO [31]
2 years ago
11

A company sells widgets. The amount of profit , ymade by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find the maximum amount of profit the company can make, to the nearest Dollar.
y=-x^2+64x-292
Mathematics
1 answer:
Bezzdna [24]2 years ago
7 0

Answer:

$732

Step-by-step explanation:

Given

y \to profit

x \to widgets

y = -x^2 + 64x - 292

Required

The maximum profit

First, we calculate the maximum amount of widgets that can be sold using:

x = -\frac{b}{2a}

Where:

a = -1; b = 64; x = -292

So, we have:

x = -\frac{64}{2 * -1}

x = -\frac{64}{-2}

x = -(-32)

x = 32

The maximum profit is:

y = -x^2 + 64x - 292

y = -(32)^2 + 64 * 32 - 292

Using a calculator, we have:

y = 732

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