Solve the problem.
-The profit that the vendor makes per day by selling $x$ pretzels is given by the function $P ( x ) = - 0.004 x ^ { 2 } + 2.4 x - 200$. Find the number of pretzels that must be sold to maximize profit.
A) 300 pretzels
B) 600 pretzels
C) $1.2$ pretzels
D) 160 pretzels

Question

Quizplus · Accepted Answer

The maximum profit occurs at the vertex of the parabola represented by the quadratic function. The x-coordinate of the vertex can be found using the formula $-\frac{b}{2a}$, where $a = -0.004$ and $b = 2.4$. Plugging these values in gives $-\frac{2.4}{2(-0.004)} = 300$. Therefore, 300 pretzels must be sold to maximize profit.

Solve the Problem xxx Pretzels Is Given by the Function P(x)=−0.004x2+2.4x−200P ( x ) = - 0.004 x ^ { 2 } + 2.4 x - 200P(x)=−0.004x2+2.4x−200

Solve the Problem $x$ Pretzels Is Given by the Function $P ( x ) = - 0.004 x ^ { 2 } + 2.4 x - 200$