Let, number of executive class tickets to be sold, be x and that of economy class be y.
∴ LPP becomes : Maximize Profit (P)
= 1000 x + 600y
Subject to : x ≥ 0, y ≥ 0
x + y ≤ 200
y ≥ 4x or 4x – y ≤ 0
x ≥ 20
For correct graph
Getting vertices of feasible region as
A(20, 180), B(40, 160), C(20, 80)
Profit at A = Rs 128000
Profit at B = Rs 136000
Profit at C = Rs 68000
∴ Max profit = Rs. 136000 for 40 executive and 160 economy tickets