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The revenue made by a motorcycle company from the sale of x motorcycles is given by 0.003x^2 + 9x. The cost to produce x motorcycles is given by the polynomial 13x+400,000. Form a polynomial expression written in simplified standard form for the profit from making and selling x motorcycles.

Answer :

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The profit expression from selling x motorcycles expressed as a polynomial is : -0.003x² + 4x + 400000

The value of profit cab be found using the expression :

Profit = (Cost of production - Revenue)

Profit = (Cost of production - Revenue) Cost of production = 13x + 400000

Profit = (Cost of production - Revenue) Cost of production = 13x + 400000Revenue = 0.003x² + 9x

Profit = (13x + 400000) - (0.003x² + 9x)

Profit = 13x + 400000 - 0.003x² - 9x

Profit = 13x - 9x + 400000 - 0.003x²

Profit = 4x + 400000 - 0.003x²

The polynomial in simplified standard form can be expressed thus : -0.003x² + 4x + 400000

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