Question

ALGEBRA 2
What point is feasible region maximizes the objective function?
Constraints:
x more than or equal to 0
y more than or equal to 0
-x + 3 more than or equal to y
y less than or equal to 1/3x + 1

Objective function: C = 5x - 4y

Please help walk me through this, I'm not even sure how to start working on this equation. Whoever is able to help will receive fan and medal :) thank you in advance!

Answer 1

Hey @bibby do you know how I'd work this problem? Or even just how to start it?

Answer 2

nope, sorry

Answer 3

Okay, well thank you for looking at it for me @bibby :)

Answer 4

i dont know for sure, but i could give it a try

Answer 5

Hey, sorry to bother you again. Do you know of any way to do this problem? @jim_thompson5910

Answer 6

Oh! Okay, yes please. Anything would be great @baru

Answer 7

are you able to graph all of the inequalities on the same xy coordinate system?

Answer 8

Um, there's no graph with this equation @jim_thompson5910

Answer 9

c=5x-4y

clearly c is max when 'x' is max and 'y' is minimmum.

the constraints mentioned does not allow you to choose just any x or y, only those in a particular region is allowed

Answer 10

Okay @baru

Answer 11

the first step is to graph each inequality

for example, say you are given `y > 2x+3`

you would graph `y = 2x+3`. Then make this line a dashed line. The last step is to shade above the dashed line to complete the graph of `y > 2x+3`

Answer 12

Okay, gotcha @jim_thompson5910

Answer 13

If you're still stuck, then hopefully this PDF will help. See attached.

Answer 14

sorry I just noticed I made a typo

I meant to say `feasible region` instead of `fesiable region`