Math Problem Statement
The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by Upper C left parenthesis x right parenthesis equals 2 x squared minus 32 x plus 520 comma where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Optimization
Formulas
Quadratic formula for vertex: x = -b / (2a)
Cost function C(x) = 2x^2 - 32x + 520
Theorems
Vertex formula of a quadratic function
Quadratic functions and their parabolas
Suitable Grade Level
Grades 9-12