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Math question can anybody help me please?
The profit that the vendor makes per day by selling x pretzels is given by the function P(x)= -4x^2+2,400x-350 Find the number of pretzels that must be sold to maximize profit.
1 Answer
- PuzzlingLv 72 months ago
When you have a quadratic, of the form ax² + bx + c, the equation for the line of symmetry is:
x = -b/(2a)
If you need help remembering this, it's the quadratic formula, but without the ±√ part.
Plug in your values:
a = -4
b = 2400
x = -2400 / (2 * -4)
x = -2400 / -8
x = 300
That is the vertex of your parabola and since the leading coefficient (a = -4) is negative, the parabola is downward facing. That means the vertex is a maximum.
Answer:
The vendor must sell 300 pretzels to maximize profit.