I need help

[yeetet]

This is the question: Find the intersection point of (2000x+3000y>=540000 and 900x + 600y<=300000 )boundary lines by solving a matrix.

I need to know how the inequality changes the answer because on of them is greater than or equal to and one of them is less then. I got that x is 384 and y is -76 but I'm not sure which way the signs go or if I should even write them at all.

 

[Deleted member 4993]

This is the question: Find the intersection point of (2000x+3000y>=540000 and 900x + 600y<=300000 ) boundary lines by solving a matrix.

I need to know how the inequality changes the answer because on of them is greater than or equal to and one of them is less then. I got that x is 384 and y is -76 but I'm not sure which way the signs go or if I should even write them at all.

When you are looking at the boundary lines - the comparisons are made by "=". So calculate the point of intersection by considering:

2000*x + 3000*y = 540000

900*x + 600*y = 300000

 

[Romsek]

The intersection occurs when both equalities are met.

[MATH]2000x + 3000y = 540000\\ 900x + 600y = 300000[/MATH]
This can be written as

[MATH]\begin{pmatrix}2000&3000\\900&600\end{pmatrix} \begin{pmatrix}x \\ y\end{pmatrix} = \begin{pmatrix}540000\\300000\end{pmatrix}[/MATH]
can you solve that?

 

[yeetet]

Thank You