If LaTeX: P=\begin{bmatrix} 3&-4\\
2 &-4
\end{bmatrix}P = [ 3 − 4 2 − 4 ] and LaTeX: P^{-1}=\begin{bmatrix}
p_{1}&p_{2}\\
p_{3}&p_{4}
\end{bmatrix}P − 1 = [ p 1 p 2 p 3 p 4 ], what is the value of LaTeX: p_{3}p 3?

Step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204