[Video] Q22: F(x)-500x^2+25,000xthe revenue f(x), in dollars, that a company receives from sales of a product is given by the function f above, where x is the unit price, in dollars, of the product. the graph of = f(x) in the xy-p1ane intersects the x-axis at 0 and a. what does a represent?

Explanation for Question 22 From the Math (Calc) Section on the 2019 May Sat

So question 22 states, the revenue FFX in dollars that 2 accompany receives from sales of a product is given by the function F above 3 where X is the unit price in dollars of the product. 4 The graph of Y equals F of X and the X, 5 Y plane intersects the X axis at zero and a, 6 what does I represent? So if a D 7 graph, Y equals F of X intersects the X axis at zero. 8 And that means that when X is equal to a Y 9 is equal to zero. So when X is equal to a Y 10 is equal to zero. So now all we need to know is what does 11 X represent and what does Y represent? 12 Well, it says right here that X is the unit price. 13 So when the unit price is a, 14 that means that Y or the revenue is zero. 15 So it's fine. Which of the answer choices says that? 16 So the revenue, when the unit price is zero, 17 that's not correct because really when a unit price is a, 18 the revenue equals zero. Now B the unit price in dollars of 19 the product that will result in maximum revenue. 20 Well, that's wrong because this is when the revenue is equal to zero. 21 So that would be a minimum revenue. 22 C says the unit price in dollars of the product that will result in 23 a revenue of zero and C is the correct answer, 24 because what this means is when X is equal to a, 25 or when the unit price is a, the Y value or the revenue will 26 equal zero. So that's why the answer to this is C.