Solve the following problem using both graphical method and
Simplex tableau
Maximize f(x,y)=5x+4y subject to 3x+5y<=180 where 28 => x
=> 0 and 30=> y=>0
Use the technique developed in this section to solve the
minimization problem.
Minimize
C = −3x − 2y − z
subject to
−x
+
2y
−
z
≤
12
x
−
2y
+
2z
≤
15
2x
+
4y
−
3z
≤
18
x ≥ 0, y ≥ 0, z ≥ 0
The minimum is C =
at (x, y, z) = .
Consider the following linear programming problem:
Maximize 16X + 14Y
Subject to: 3X + 4Y ≤ 520
3X + 2Y ≤ 320
all variable ≥ 0
The maximum possible value for the objective function is
Question 3: Graphically solve the following
problem.
Minimize the cost = X + 2 Y
Subject
to: X+3Y >= 90
8X
+ 2Y >= 160
3X
+ 2Y >= 120
Y <= 70
X,Y >= 0
What is the optimal solution?
Change the right hand side of constraint 2 to 140 (instead of
160) and resolve the problem. What is the new optimal
solution?
Solve the following linear programming problem.
Maximize: z=10x +12y
subject to: 7x+4y<=28
10x+y<=28
x>=0
y>=0
1. The Maximun value is ____at the point____.