Consider the problem: Maximize subject to

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

Consider the problem: Maximize

Z = 5x + 5y

subject to

x + y \le 6,\; x \ge 0,\; y \ge 0

. Which of the following statements is correct? (a) The maximum value of

30

occurs only at

(0,6)

. (b) The maximum value of

30

occurs both at

(6,0)

and

(0,6)

. (c) The maximum value of

30

occurs only at

(3,3)

. (d) The maximum value of

30

occurs only at

(6,0)