Question

Please help: Show steps please.
Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given function.
Constraints:
X is greater than or equal to 0
y is greater than or equal to 0
Y is less than or equal to 1/3x+3
5 is greater than or equal to y+x.
Objective Function: C=6x-4y

Answer 1

@wet

Answer 2

by vertices do they mean [0,infinity)?

Answer 3

I think so I'm not quite sure though. I'm not good at these things and I asked my teacher but his response didn't really help me.

Answer 4

feel free to forward his/her response here

Answer 5

Okay I will.

Answer 6

Usually, constraints will be a system of inequalities that set boundaries for some other equation. The first step is usually to graph the boundary lines (just pretend the inequalities are regular lines). Then shade the area that satisfies all of the inequalities. This will give you the "feasible" region. The intersections of the boundaries are usually key points (like the corners of the shaded area) and can be used to maximize the given equation. After you graph the constraints and locate those points, you can take each x and y pair and plug them into the given equation. Whichever point give the greatest value when evaluated in the equation is the point you want. I hope that helps!

Answer 7

anyhow the max value of x>=0 looks like
the arrow goes right infinitely