Answer:
the selling price that gives the maximum profit is $15
Step-by-step explanation:
The profit, P dollars, earned by a saleswoman selling scented candles is approximated to be P=-10x^2+300x-250
This is a quadratic equation and the graph of P against x will give a parabola with a vertex whose value will be the maximum price
The maximum price occurs at x =
-b/2a
From the equation,
a = -10
b = 300
c = - 250
-b/2a = -300/2×-10= -300/-20
= 15
This gives the vertex of the parabola
Therefore, the selling price that gives the maximum profit is $15
