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.

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45 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

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