Question

Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective function.
Objective function: C=6x-4y

Answer 1

@piglet9
please help:(

Answer 2

@jim_thompson5910
please help:(

Answer 3

are you able to graph this system of inequalities?

Answer 4

No

Answer 5

ok let's focus on doing that first

to do that, you graph each inequality one at a time

Answer 6

to graph \(\large x \ge 0\), you graph the line x = 0, then you shade to the right of this line

to graph \(\large y \ge 0\), you graph the line y = 0, then you shade above this line

to graph \(\large y \le \frac{1}{3}x+3\), you graph the line y = 1/3x+3, then you shade below this line

Answer 7

it won't let me make graphs though. :/

Answer 8

do you have graphing paper?

Answer 9

no. ._.

Answer 10

ok do you have geogebra?

Answer 11

what?

Answer 12

you're supposed to show step by step ow to do the problem.

Answer 13

on how*

Answer 14

@ranga can you help?

Answer 15

You have to graph each of the four constraints somewhere using online resources or on a graph paper. They are just 4 lines two of which are just the x & y axes. So you really need to draw just two lines. I don't have any other suggestions other than those already made by @jim_thompson5910

Answer 16

Or perhaps you can find where the last two lines cross the x or y axes manually by solving the equations.

Answer 17

sorry I got distracted, but I recommend you downloading geogebra

it's a graphing calculator that allows you to graph inequalities and you can use them to set up a feasible region

Answer 18

the x>0 and y>0 basically mean we only want this quarter of the graph.

The y<1/3x + 3 is graphed using the y-intercept of 3, and a slope of 1/3.

the 5>y+x i first subtracted x on both sides, to get y< 5 - x, then use the y-intercept of 5 (couldn't fit it on graph) and slope of -1. The shading shows the region.