Question

help

Answer 1

Use your knowledge from the last two problems.

The vertex is \(\sf{(h,k)}\), so find that, and then choose which one explains the reasoning for the vertex

Answer 2

\[f(x)=-x^2+28x-192\]\[=-(x^2-28x+196-196)-192\]
\[=-(x-14)^2+196-192\]\[=-(x-14)^2+4\]
vertex is (14,4)
\[f(x)=-x^2+28x-192\]\[=-x^2+16x+12x-192\]\[=-x(x-16)+12(x-16)\]
=-(x-16)(x-12)
corner points are (12,0),(16,0),(14,4)
at (12,0) and (16,0) profit is 0.
at vertex (14,4) profit is maximum.