Question

1.

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)

Maximize p = 3x + 2y subject to

1.8x	+	0.9y	≤	9
0.15x	+	0.3y	≤	1.5
8x	+	8y	≤	48
	x ≥ 0, y ≥ 0.

p =
(x,y) =

2.

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)

Maximize and minimize p = x + 2y subject to

x	+	y	≥	2
x	+	y	≤	4
x	−	y	≤	2
x	−	y	≥	−2.

Minimum:

p =
(x, y) =

Maximum:

p =
(x, y) =

Answer 1

86