P = 4500 x + 5000 y subject to
(i) x + y ≤ 250
(ii) 25000 x + 40000 y ≤ 7000000
5x + 8y ≤ 1400
x ≥ 0; y ≥ 0
ABCD is the solution region
A (0,0), P = 4500 x + 5000 y = 0
B (250,0), P = 4500 x 250 = Rs 1125000
C (200,50), P = 4500 x 200 + 5000 x 50 = Rs 1150000
D (0,175), P = 5000 x 175 = Rs 875000
∴ The profit is maximised at C (200,50) Rs 1150000