Let number of fans = x
and number of radios = y
max. profit z = 22x + 18y
according to constraints
x + y ≤ 20
360x + 240y ≤ 5,760
Now plot the straight lines on the graph and find the corner points of feasible region
∴ Corner points of feasible region are A(16, 0), P(8, 12) and C(0, 20) Corner points Z = 22x + 18y
A(16, 0) Z = 352 + 0 = 352
P(8, 12) Z = 176 + 216 = 392
e(0, 20) Z = 0 + 360 = 360
∴ Max. profit Z = Rs. 392 at x = 8, y = 12.