Question

By graphing the system of constraints, find the values of X and Y that minimize the objective function

x+2y=>8
x>=2
y>=0

minimum for C=x+3y

A. (8,0)
B. (2,3)
C. (0,10)
D. (10,0)

Answer 1

@amistre64

Answer 2

did you graph the constraints?

Answer 3

Yes

Answer 4

then the points that make up the intersection of your boundaries are?

Answer 5

Here is the screenshot

Answer 6

Yes, I know there is the screenshot above It shows the 3 points

Answer 7

it shows 2 points

Answer 8

what are the points that make the corners of the feasible region?

we can discount the points that are at infinity simply since they make C = infinity is not going to be a minimal amount

Answer 9

our points are when x=2, or y=0

Answer 10

Okay, whats next

Answer 11

what are our points?

Answer 12

if we know our points, we have values for x and y ... test them in C to see which of them gives us the smallest value for C or course.

Answer 13

2,3 2,0 8,0

Answer 14

2,0 is not one of our points