To find the price at which the hair clip would earn the most revenue, we need to find the vertex of the parabola represented by the quadratic equation y = -0.75x^2 + 24x.
The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a = -0.75 and b = 24. Plugging in these values, we get:
x = -24 / (2*(-0.75))
x = -24 / -1.5
x = 16
So, the price at which the hair clip would earn the most revenue is $16.
Raquel designs a new hair clip and plans to start a business selling them. She wants to sell her product at a reasonable price while still making the most money possible. She comes up with the quadratic equation y=−0.75x2+24x
to reflect her desired revenue. Solving mathematically, if you were to graph the parabola, at what price would the hair clip earn the most revenue?
1 answer
1 answer