Question

PLEASE HELP!!!!!!!!!!!!!!

4.
(08.02 HC)
The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling cake ball combos, where x is the number of combos sold and f(x) is the amount of profit.

Part A: Determine if this function has a maximum or a minimum value. How did you know? (2 points)


Part B: Determine the vertex. What does this calculation mean in the context of the problem (hint: compare the profit they are making (f(x)) vs. the sales (x))? Show your work for finding the vertex. (4 points)


Part C: Determine the x-intercepts. What do these values mean in the context of the problem? Show your work for finding the x-intercepts. (4 points)

Answer 1

Part A: this would be a minimum because the negative sign looks like a low value.

Part B: b/2a = 44/2(2) = 22(2) = 44 so the vertex would be 44. This means that the employees ate 44 cake balls that day.

Part C: x-intercepts are not existent when looking at the graph. This means they are always eating some cake balls.