SOLUTION: The weekly profit of your group’s home-made brownies in a box is modeled by the equation profit, P = - x2 + 120x - 28. The weekly profit P is dependent on the number of boxes of

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The weekly profit of your group’s home-made brownies in a box is modeled by the equation profit, P = - x2 + 120x - 28. The weekly profit P is dependent on the number of boxes of       Log On


   



Question 1172541: The weekly profit of your group’s home-made brownies in a box is modeled by the equation profit, P = - x2 + 120x - 28. The weekly profit P is dependent on the number of boxes of brownies x sold. If the break-even point is when P = 0, then how many boxes of brownies must your group sell in a week in order to break-even your profit?
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


The graph of your profit function is a concave down parabola, so the maximum profit is at the vertex of the parabola. The general equation for a parabola is:



The value of the independent variable at the vertex of the general parabola is .

Determine, by inspection, the values of and that are specific to your question and then calculate to find your answer.


John

My calculator said it, I believe it, that settles it

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I > Ø