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il63 [147K]
2 years ago
6

What’s the number of pretzels that must be sold if the equation is P(x)=-4x^2+3200x-100

Mathematics
1 answer:
cupoosta [38]2 years ago
7 0

The number of pretzels that must be sold to maximize the profit is 400.

<h3>What is the number of pretzels to be sold in the quadratic equation?</h3>

The number of pretzels to be sold can be determined by taking the derivative of the quadratic equation.

Given that:

P(x) = -4x^2+3200x-100

P'(x) = -8x + 3200

P''(x) = -8

At the critical point;

P'(x) = 0

Thus;

8x = 3200

x = 3200/8

x = 400

P''(400) = -8

P'' (400) < 0

Therefore, at x = 400, P(x) will be maximum.

Learn more about calculating the derivative of a quadratic equation here:

brainly.com/question/13759985

#SPJ1

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