Question

Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective function.
x>0
y>0
y<1/3x+3
5>y+x
Objective Function: C = 6x – 4y

Answer 1

You have to graph this one out. Make all the lines- you'll end up using only the positive quadrant (that's why they gave you y>0 and x>0). When you graph all of the equations, don't pay attention to the less than or greater than signs until you're all done graphing. Once you're done, you'll get some sort of shape. To find the feasible region, shade in the shape using the greater than and less than signs. If the equation says greater than, shade above the line, but if it says less than, shade below it. The vertexes of the feasible region are just the corners of the shape that you just shaded in.
For the last part, to find maximum value, plug each vertex into your objective function. Like, if you were to get (5,3) THIS IS JUST AN EXAMPLE, you would put in c=6•5-4•3, and you'd get 18!!! Do this for each vertex. whichever number is the biggest will be your maximum value.
Hope this helped! :)

Answer 2

THANK YOU SOOOOOO MUCH you explained everything perfect rather where other people havnt THANK YOU!!!

Answer 3

Youre super welcome:) have a good night! It's late!

Answer 4

I need help with same question, and I did not understand the first answer

Answer 5

I didn't understand that answer either...and I'm stuck on this question