Math Problem Statement

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Math Problem Analysis

Mathematical Concepts

Cost Functions
Marginal Analysis
Optimization
Rates of Change
Quotient Rule
Product Rule

Formulas

C(x) = 100 + 75x
R(x) = 125x - x^2
P(x) = R(x) - C(x)
Average Cost = C(x)/x
N(g) = 50 * T(g) * H(g)
g'(x) = d/dx (x + 2)/x^2

Theorems

Product Rule
Quotient Rule
Marginal Functions

Suitable Grade Level

Grades 11-12