## Solution Library

# Rewriting Linear Programming Problem As Maximization Problem

**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 ≤.**Total Word Count NA**

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