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Question
Rewrite the given linear programming problem as a maximization problem with constraints involving inequalities of the form ≤ (with the exception of the inequalities x ≥ 0, y ≥ 0)
Minimize C = 2x + 3y
Subject to x + y ≤ 9
x + 2y ≥ 10
4x + y ≥ 14
x ≥ 0, y ≥ 0
a. Minimize P = –2x – 3y
Subject to x + y ≤ 12
x – 2y ≤ –10
–4x + y ≤ –14
x ≥ 0, y ≥ 0
b. Minimize P = –2x – 3y
Subject to x + y ≤ 12
–x – 2y ≤ –10
–4x – y ≤ 14
x ≥ 0, y ≥ 0
c. Minimize P = –2x – 3y
Subject to x + y ≤ 12
–x + 2y ≤ 10
4x – y ≤ 14
x ≥ 0, y ≥ 0
d. Minimize P = –2x – 3y
Subject to x + y ≤ 12
–x – 2y ≤ –10
–4x – y ≤ –14
x ≥ 0, y ≥ 0
e. Minimize P = 2x + 3y
Subject to x + y ≤ 12
x – 2y ≤ –10
–4x – y ≤ –14
x ≥ 0, y ≥ 0
Summary
The question belongs to Mathematics and it is about rewriting a linear programming problem as a maximization problem with constraints involving inequalities of the form ≤.
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