Mininize
Z = 16x +20y Subject to the constraints
(i) x + 2y ≥ 10
(ii) 2x + 2y ≥ 12 ⇒ x + y ≥ 6
(iii) 3x + y ≥ 8 (iv) x ≥ 0; y ≥ 0
shaded region is the un bounded solution region
A (0,8) Z = Rs 160
B (1,5) Z = Rs 116
C (2,4) Z = Rs 112
D (10,0) Z = Rs 160
The cost is minimised at C (2,4) Z = Rs 112
2 kg of X and 4 kg of Y.