I need Help, Please!

[bulldog3256]

Solve the following LP problem graphically:

Minimize cost = 24X + 15Y
Subject to: 7X + 11Y ≥ 77
16X + 4Y ≥ 80
X,Y ≥ 0

 

[JeffM]

Solve the following LP problem graphically:

Minimize cost = 24X + 15Y
Subject to: 7X + 11Y ≥ 77
16X + 4Y ≥ 80
X,Y ≥ 0

What is your objective function?

What are your constraints?

So what is your feasible region?

The feasible region in an LP problem is always a rectilinear figure when graphed, right?

The solution to an LP problem occurs where with respect to the graph of the feasible region?

 

[Deleted member 4993]

Solve the following LP problem graphically:

Minimize cost = 24X + 15Y
Subject to: 7X + 11Y ≥ 77
16X + 4Y ≥ 80
X,Y ≥ 0

Draw ggraph of

7X + 11Y = 77

and

16X + 4Y = 80

AND

X = 0

AND

Y = 0

Shade the resulting area of interest.

Evaluate 24X + 15Y at each of the vertices.

Record the minimum value.

Straight forward......