solved by simplex method-
Max Z= 3x1+2x2
s.t. 5x1+x2≤10
4x1+5x2≤60
x1,x2≥0
Answers
Answer:
Max z = 20 for x1 = 0 & x2 = 10
Step-by-step explanation:
solved by simplex method-
Max Z= 3x1+2x2
s.t. 5x1+x2≤10
4x1+5x2≤60
x1,x2≥0
5x1+x2≤10
5x1 ≤10
x1 ≤2
x2 ≤10
4x1+5x2≤60
4x1 ≤60
x1 ≤15
5x2 ≤60
x2 ≤12
for x1 = 2
5x2 ≤52
x2 ≤ 10.4
for x2 = 10
4x1 ≤10
x1 ≤ 2.5
from all we can conclude that
x1 ≤2
x2 ≤10
x2 x1 Z = 3x1 + 2x2
0 2 3*2 + 2*0 = 6
1 1.8 3*1.8 + 2*1 = 7.4
2 1.6 3*1.6 + 2*2 = 8.8
3 1.4 3*1.4 + 2*3 = 10.2
4 1.2 3*1.2 + 2*4 = 11.6
5 1 3*1 + 2*5 = 13
6 0.8 3*0.8 + 2*6 = 14.4
7 0.6 3*0.6 + 2*7 = 15.8
8 0.4 3* 0.4 + 2*8 = 17.2
9 0.2 3* 0.2 + 2*9 = 18.6
10 0 3* 0 + 2*10 = 20
Max z = 20 for x1 = 0 & x2 = 10
Answer:
Step-by-step explanation:
