Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $\mathrm { P } ( \mathrm { x } ) = - 6 \mathrm { x } ^ { 2 } + 2028 \mathrm { x } - 27,216$

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-The daily profit in dollars of a specialty cake shop is described by the function $\mathrm { P } ( \mathrm { x } ) = - 6 \mathrm { x } ^ { 2 } + 2028 \mathrm { x } - 27,216$ , where $x$ is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. What is the maximum profit?

A) $\$ 144,150$
B) $\$ 169.00$
C) $\$ 198,582$
D) $\$ 28,561$