Question

What is the maximum value of 6x + 10y in the feasible region? http://als.mnps.org/R85Content/media/pictures/alg21_n/c2616t1.gif?ts=1465516815041

Answer 1

I dont know how to solve this im sorry :(

Answer 2

@mathmate

Answer 3

Do you want to do the easy way or proper way?

Answer 4

@mathmate which is easier? thank you

Answer 5

Well, let's start the easy way.
The graph has five corners, including the origin (0,0), right?

Answer 6

@mathmate yes the link is to the graph

Answer 7

Can you give me the objective function?

Answer 8

@mathmate what is that?
its linear programing?

Answer 9

@mathmate Linear programing alg 2

Answer 10

Yes, linear programming is a kind of optimization. But you can call it optimization as well. They both use the same terms.

Answer 11

@mathmate ok so how would i solve this?

Answer 12

Do you know the objective function?

Answer 13

@mathmate no i dont know it

Answer 14

Objective function is a function that represents the quantity you're trying to maximize or minimize.

Answer 15

@mathmate oh ok

Answer 16

What is the maximum value of 6x + 10y in the feasible region? http://als.mnps.org/R85Content/media/pictures/alg21_n/c2616t1.gif?ts=1465516815041

Answer 17

If you read the first line of the question, you will see that the objective function is
to maximize Z(x,y)=6x+10y.
It is important to see that
1. the objective function is linear
2. the objective function is trying to maximize or maximize.
ok?

Answer 18

oh ok

Answer 19

Now we're ready to proceed.
As I said, there are five corners.
If the objective function is linear, you only have to substitute the coordinates of EACH of the five points to evaluate Z(x,y).
Then you choose the maximum value of Z(x,y).
Is that ok?

Answer 20

ok i see that

Answer 21

I'll start with the first point (0,0)
Z(0,0)=6(0)+10(0)=0
So that's a start.
Can you find Z(x,y) for the remaining four points?

Answer 22

i dont know how to do that

Answer 23

Can you pick one of the corners and give me the coordinates?

Answer 24

@hannahaz
Are you there?

Answer 25

Tag me if you want to finish the problem.