Maximize $z= 15x+ 13 y $ subject to constraints $2x+ 3y ≤ 180, 4x ≤ 240, 6y ≤240 , x, y ≥0.$ Which of the following is true ?
(A) Feasible region is unbounded
(B) Feasible region is bounded
(C) Maximum value of $z=1160$
(D) Maximum value occurs at (60, 0)
(E) Maximum value occurs at (60, 20)
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (B), (C), (E) only
$Max (60, 20) = 15 × 60 + 13 × 20$
$=1160$