Math Problem Statement
The production cost ($C) of a necklace is given by C= 2x²- 40x + 300,where x is the daily number of necklaces produced. Find the minimum production cost of a necklace and the corresponding daily number of necklaces produced.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Optimization
Formulas
Vertex formula: x = -b / 2a
Quadratic equation: C(x) = ax² + bx + c
Theorems
Vertex of a Parabola
Quadratic Function Optimization
Suitable Grade Level
Grades 9-12
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