The number of pretzels that must be sold to maximize the profit is 400.
What is the number of pretzels to be sold in the quadratic equation?
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:
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