Math Problem Statement

Реши 7

Фирма имеет функцию общих издержек TC = 10Q + 1.5Q^2, спрос на продукт задан функцией P = 40 - Q. Определить максимальную прибыль фирмы.

Solution

To solve problem 7, we will calculate the firm's maximum profit based on the given functions.

Given Information:

1

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Math Problem Analysis

Mathematical Concepts

Economics
Profit Maximization
Revenue Function
Cost Function

Formulas

Profit = Total Revenue - Total Cost
Total Revenue = P * Q
Maximization of a function using d(Profit)/dQ = 0

Theorems

First-order derivative test for optimization

Suitable Grade Level

Undergraduate (Economics or Business Studies)