Mathematics

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)