Question

2. Solve the following linear programming problem Maximise z = 7x, +3x, Subject to the constraints 2x, +6x, < 24 6x1 + 2x, 5 24 X, X, 20​

Answer 1

Answer:

Correct option is

A

16

To Maximize: Z=6x+4y

Constraints: x≤2

x+y≤3

−2x+y≤1

x≥0,y≥0

Plotting the constraints on the graph, we get the following points.

Points Z=6x+4y

O(0,0) 0 ← Minimum

A(0,1) 4

B(

3

2

,

3

7

)

3

40

C(2,1) 16 ← Maximum

D(2,0) 12

Hence, at C≡(2,1), Maximum value of Z=6x+4y=16.