Solve.
-The profit that the vendor makes per day by selling $x$ pretzels is given by the function $P ( x ) = - 0.002 x ^ { 2 } + 1.6 x - 150$. Find the number of pretzels that must be sold to maximize profit.
A) 800 pretzels
B) 400 pretzels
C) $0.8$ pretzels
D) 170 pretzels

Question

Quizplus · Accepted Answer

The profit function is a quadratic equation in the form of $ax^2 + bx + c$. The maximum profit occurs at the vertex of the parabola, which can be found using the formula $-b/(2a)$. Here, $a = -0.002$ and $b = 1.6$, so the number of pretzels that maximizes profit is $-1.6/(2 \times -0.002) = 400$.

Solve -The Profit That the Vendor Makes Per Day by Selling

Solve
-The Profit That the Vendor Makes Per Day by Selling