Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Optimization
Revenue Functions
Cost Functions
Profit Maximization
Derivatives
Formulas
P(Q) = 90Q - 60Q^2
C(Q) = 2Q^3 - 87Q^2 + 30Q + 100
Profit(Q) = Revenue(Q) - Cost(Q)
Theorems
First Derivative Test
Critical Points for Maximization
Suitable Grade Level
Undergraduate Economics or Calculus
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