find the maximum and minimum values of the objective function p(x,y)=16x-2y under the constraints:3x+5y<=24,0<=y<=4 and 0<=X<=7. it's urgent for my exam.
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Step-by-step explanation:
Maximize Z = 3x + 4y
Subject to the constraints: x + y ≤ 4, x ≥ 0, y ≥ 0
Answer:
The feasible region determined by the constraints x + y ≤ 4, x ≥ 0, y ≥ 0 is as follows:
The corner points of the feasible region are O (0, 0), A (4, 0), and B (0, 4).
The values of Z at these points are as follows:
Therefore, the maximum value of Z is 16 at the point B (0, 4).
Question 2:
Minimize Z = −3x + 4y
subject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0
Answer:
The feasible region determined by the system of constraints x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0
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plz I also need it fast
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