Question

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y = -4x2 + 141x – 703

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The maximum amount of profit the company can make is $543

Let y represent the amount of profit and x represent the selling price.

The relationship between x and y is:

y = -4x² + 141x – 703

The maximum profit is at dy/dx = 0, hence:

dy/dx = -8x + 141

-8x + 141 = 0

8x = 141

x = 17.625

The maximum profit is:

y = -4(17.625)² + 141(17.625) – 703 = 543

The maximum amount of profit the company can make is $543

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