The function f(x) = –x2 + 28x – 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)
Part A: The vertex is (14, 4). When they sell 14 sodas, they make $4 profit. Part B: The x-intercepts are when f(x) is 0, so they are (12, 0) and (16, 0). When they sell 12 and 16 sodas, they don't make any profit. --- Hope this helps!
