SOLUTION: Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be so

Question 57213This question is from textbook
: Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit? This question is from textbook

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit?
This is a quadratic equation that results in a parabola when graphed. Because x^2 is negative the parabola is upside down and "n" shaped. It's vertex is its maximum point.
We find the x value of a quadratic equation in standard form: with the formula:
Our a=-2 and b=280

The company must sell 70 items to maximize the profit.
Happy Calculating!!!
RELATED QUESTIONS
Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of... (answered by ankor@dixie-net.com)

Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of... (answered by funmath)

Suppose that the equation p(x) = -4x2 + 400x - 1000, where x represents the number of... (answered by KMST)

Suppose that the equation p(x) = -5x^2 + 600x +100 (where x represents the number of... (answered by ewatrrr)

Suppose the equation y=-3x^2+444x-3300 maximize profit, where x represents the number of... (answered by stanbon)

Suppose that the equation p(x) = 3x^2 + 426x -2200, where x represents the number of... (answered by Mona27)

i need this for my exam plz help me if you can Research shows that the demand... (answered by CPhill)

The profit of an organization is calculated by the function P(x)=x^2-4000x + 7800000... (answered by lwsshak3)

The profit of an organization is calculated by the function P(x) = x^2-4000X + 7800000,... (answered by onlinepsa)