Question

MEDAL GIVEN!!!!
find values X and Y that maximize or Minimize the objective function. 4x+ 3y >_ 30 x+3y>_ 21 x>_0, y>_0 Minimum for C = 5x + 8y

Answer 1

@MIA305DT @amistre64

Answer 2

@zkoqmosii

Answer 3

you are going to want to find where your critical region is and define its vertexes

Answer 4

what is that how do i find it

Answer 5

you are given a few lines to graph out, those lines will define the boundarys of some region in the plane

Answer 6

4x+ 3y >_ 30
x+3y>_ 21

x>_0, y>_0 <-- these are just the x and y axis

Answer 7

3,6

Answer 8

3.6 is one vertex, 0,0 is another, and you should have one on the y axis and the x aixs

Answer 9

y >_ 10 - 4x/3 for the 4x +3y >_ 30

Answer 10

y>_ 7- x/s for x+3y21

Answer 11

hmm, since y> then the line this area seems like it would be unbounded

Answer 12

that point is 3,6 i know that

Answer 13

http://www.wolframalpha.com/input/?i=4x%2B+3y+%3E%3D+30%2C++x%2B3y%3E%3D+21

chk your information

Answer 14

otherwise, infinity, infinity is the maximum

Answer 15

okay thanks so how do i find the constraints in slope intercept form

Answer 16

solve for 'y'

Answer 17

didn't i do that already

Answer 18

4x+ 3y >_ 30

y >= -4/3 x + 10



x+3y>_ 21

y >= -1/3 x + 7

Answer 19

looks like you did yes

Answer 20

that the slope intercept?

Answer 21

yes

Answer 22

whats the objective function

Answer 23

teh objective function doesnt get ploted, it gets used when we find the corners of the 'bounded' area of the constraints

Answer 24

think of it like a surface that is floating above the area

Answer 25

k

Answer 26

each x,y in the area defines a height above it defined by the objective function