Given this problem:
Max Z = $0.3x + $0.90y
Subject to:
2x + 3.2y <= 160
4x + 2.0y <= 240
y <= 40
x, y >= 0
a) Solve for the quantities of x and y which will maximize Z. The x
=. The y = .
b) What is the maximum value of Z? The Z =
Given problem is linear programming , and no method precribe to solve hence solving problem by Graphical method
Max Z =$0.30 x +$0.90y
Subject to Contraints
Subject to:
2x + 3.2y <= 160
4x + 2.0y <= 240
y <= 40
Solving above contraint equation by Graphical method
2x +3.2 y =160
Taking X =0 , hence y =160/3.2=50
Putting y =0 , x = 160/2=80
(x,y ) = (0,50)(80,0)...(.1 )
Now 4x +2y =240
Putting x =0 , y =240/2 =120
Putting y = 0 , X =240/4=60
(X,y ) =(0,120) , (60,0)....(2)
And Y = 40........(3)
Plotting above equation
See image attached
a) Maximum quantity of X =16 and y =40
b)Maximum value of Z =$40.8
Given this problem: Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y <= 160...
QUESTION 3 Given this problem: Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y <= 160 4x + 2.0y <= 240 y <= 40 X, y >=0 a) Solve for the quantities of x and y which will maximize Z. The x = The y = b) What is the maximum value of Z? The Z=
please show answers clearly Given this problem Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y= 160 4x + 2.0y = 240 y = 40 x.y >=0 a) Solve for the quantities of x and y which will maximize Z. The x = They b) What is the maximum value of Z? The Z
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