## Math Problem Statement

Given the following cost and revenue functions:

A. Find the marginal cost B. Find the marginal revenue C. Find the marginal profit D. Find all values of x for which marginal profit is zero, and interpret.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Derivatives

Marginal Analysis

Quadratic Functions

### Formulas

Marginal Cost: C'(x) = d(C(x))/dx

Marginal Revenue: R'(x) = d(R(x))/dx

Profit Function: P(x) = R(x) - C(x)

Marginal Profit: P'(x) = d(P(x))/dx

### Theorems

Derivative rules for linear and quadratic functions

### Suitable Grade Level

Grades 10-12

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