9
Let us evaluate the objective function Z at each corner point as shown below:
Corner Point
Z = 8000 x + 12000 y
0 (0, 0)
0
A (20, 0)
160000
B (12, 6)
168000
Maximum
C (0, 10)
120000
We find that maximum value of Z is 1,68,000 at B (12, 6) Hence, the company
should produce 12 pieces of Model A and 6 pieces of Model B to realise maximum
profit and maximum profit then will be Rs 1,68,000 © NCERT
not to be republished
LINEAR PROGRAMMING         519
EXERCISE 12 2
1