Question

The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.

209

likes1043 views

Tiffany

4.5

62 Answers

G(x) = 3x(40 - x)
G'(x) = 3(40 - x) + (3x)(-1)
G'(x) = 120 - 3x -3x
G'(x) = 120 - 6x
0 = 120 - 6x
6x = 120
x = 120/6
x = 20
G(20) = 3(20)(40 - 20)
G(20) = 60(20)
G(20) = 1200
Max profit is 1200

Frequently asked questions (FAQs)

Math Question: What is the volume of a cube with side length "s" using the formula V = s³?

+

What are the vertical asymptotes for the tangent function f(x) = tan x?

+

What is the solution of the equation 2x + 5 = 15?

+

New questions in Mathematics