QuestionLevel $3 / 4$ the sale of $x$ villograms of coflee can be modelled by the fintion $$P(x)=\frac{4 x-200}{x+400}$$ a) Sketch a graph of this function. 7) c) If 500 kg of coffee is sold, determine the profit. d) Determine the $x$-intercept. What does this value represent?

Studdy Solution
The x-intercept $x = 50$ represents the number of kilograms of coffee that must be sold for the profit to be zero.
The graph of the function has a vertical asymptote at $x = -400$, a horizontal asymptote at $y = 4$, and an x-intercept at $x = 50$. The profit for selling 500 kg of coffee is $2$. The x-intercept indicates the break-even point in sales.