Consider the following linear programming problem:
Maximize 4X + 10Y
Subject to: 3X + 4Y ≤ 480
4X + 2Y ≤ 360
All variable ≥ 0
The feasible corner points are (48,84), (0,120), (0,0), (90,0).What is the maximum possible value for the objective function?
A)1032
B)1200
C)360
D)1600

Question

Consider the following linear programming problem: 
Maximize 4X + 10Y
Subject to: 3X + 4Y ≤ 480
4X + 2Y ≤ 360
All variable ≥ 0
The feasible corner points are (48,84), (0,120), (0,0), (90,0).What is the maximum possible value for the objective function?
A)1032
B)1200
C)360
D)1600

Quizplus · Accepted Answer

The maximum value of the objective function occurs at the point (48,84) and is equal to 4(48) + 10(84) = 480 + 840 = 1320. Therefore, the correct answer is option B.

Consider the Following Linear Programming Problem