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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Answer to a math 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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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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