Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Option B

Explanation:

Again, another great question! Here we are given the following system of equations, bound by quadrant 1 -

`\begin{bmatrix}2x+7y\le \:70\\ 8x+4y\le \:136\end{bmatrix}`

Convert this to slope - intercept form -

`\begin{bmatrix}y\le (70-2x)/(7)\\ y\le \:2\left(-x+17\right)\end{bmatrix}`

Now the graphed solution of this intersects at a shaded region with which there are 3 important point that lie on the border. They are the following -

( 0, 10 ),

( 15, 9 ),

( 17, 0 )

When these point are plugged into the main function f ( x, y ) = 2x + 6y, the point ( 15, 9 ) results in the greatest solution of 84. Thus, it is our maximum point -

Option B