High School

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An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modeled by the function [tex]p(x) = x^2 + 350x - 6600[/tex], where [tex]p(x)[/tex] is the profit in thousand Rupees and [tex]x[/tex] is the number of automobiles made and sold.

When no cars are produced, what is the profit or loss?

Answer :

Final answer:

When no cars are produced, the manufacturer incurs a loss of 6.6 million Rupees according to the profit function p(x) = x² + 350x - 6600, by substituting x = 0.

Explanation:

When no cars are produced, to find the profit or loss we substitute x = 0 into the profit function p(x) = x² + 350x - 6600. Calculating this gives us p(0) = (0)² + 350(0) - 6600 = -6600, meaning the profit (or rather, the loss) is -6600 thousand Rupees. Since the amount is negative, it's a loss of 6.6 million Rupees when no automobiles are produced and sold.

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