The ordered pair (200, 400) is in the feasible region identified by the inequalities x + 2y $\le$ 1500 and 4x + 3y $\le$ 2200.

Question

The ordered pair (200, 400) is in the feasible region identified by the inequalities x + 2y $\le$  1500 and 4x + 3y $\le$ 2200.

Quizplus · Accepted Answer

To check if the ordered pair (200, 400) is in the feasible region, we need to check if it satisfies both inequalities:

x + 2y ≤ 1500
200 + 2(400) = 1000 ≤ 1500

This is true, so the ordered pair satisfies the first inequality.

4x + 3y ≤ 2200
4(200) + 3(400) = 2200 ≤ 2200

This is also true, so the ordered pair satisfies the second inequality.

Since the ordered pair satisfies both inequalities, it is in the feasible region. Therefore, the answer is A) True.

The Ordered Pair (200, 400) Is in the Feasible Region ≤\le≤