Math Problem Statement

A certain electronics manufacturer found that the average cost 𝐶 to produce x DVD/Blu- ray players can be found using the equation 𝐶=0.03𝑥2-8𝑥+900. What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?

The minimum average cost is 

The number of DVD/Blu-ray players that should be build to acheive the minimum is 

**Answer both to the nearest whole number.

Solution

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Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Vertex of a Parabola

Formulas

Quadratic equation: ax^2 + bx + c

Theorems

Vertex formula for a parabola

Suitable Grade Level

Grades 9-12