Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Profit Maximization
Revenue and Cost Functions
Derivatives
Critical Points
Formulas
Profit = Total Revenue - Total Cost
TR = 300q - 22q²
TC = 162q² - 99q³ + 60q + 30
First derivative of Profit to find critical points
Theorems
First Derivative Test
Second Derivative Test
Suitable Grade Level
Undergraduate Economics or Calculus
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