The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is z = 4x + 3y.
Compare the quantity in Column - A and Column - B.
Column - A Column - B
Maximum value of z 350
Answer & explanation
Correct answer: option 2
objective function z = 4x + 3y
checking values at corner points.
|
Corner points |
Value |
|
(x, y) |
Z(x, y) = 4x + 3y |
|
(0, 0) |
Z(0, 0) = 0 + 0 = 0 |
|
(0, 40) |
Z(0, 40) = 0 + 3 × 40 = 120 |
|
(20, 40) |
Z(20, 40) = 4 × 20 + 3 × 40 = 80 + 120 = 200 |
|
(60, 20) |
Z(60, 20) = 4 × 60 + 3 × 20 = 240 + 60 = 300 |
|
(60, 0) |
Z(60, 0) = 4 × 60 + 0 = 240 |
Zmax = 300