Math Problem Statement
the owner of a video game store has determined that the profits P of the store are approximately given by P(x)=-x^2+130x+70 where x is the number of videos rented daily find the maximum profit to the nearest dollar
Solution
The given profit function is , which represents a downward-opening parabola. The maximum profit will occur at the vertex of the parabola.
Formula for the vertex
For a
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Vertex of a Parabola
Formulas
Vertex formula: x = -b/(2a)
Standard form of a quadratic equation: ax^2 + bx + c
Theorems
Vertex Theorem for Quadratic Functions
Suitable Grade Level
Grades 9-10
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