Math Problem Statement
Una compañía estima que el costo en dólares para producir x artículos es: c(𝒙) = 𝟏𝟎𝟎𝟎+𝒙+𝟎.𝟎𝟎𝟎𝟒𝒙𝟐 a. Encuentra el costo promedio para producir 100 artículos b. ¿A cuál nivel de producción el costo promedio será el más bajo y cuál es el costo promedio mínimo?
Solution
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Math Problem Analysis
Mathematical Concepts
Cost Functions
Average Cost
Derivatives
Formulas
Cost function c(x) = 1000 + x + 0.0004x^2
Average cost C_prom(x) = c(x)/x
Theorems
Optimization of functions
Suitable Grade Level
Undergraduate level
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