A Linear Programming Problem with the Objective Function 3x₁

question 26

Multiple Choice

A linear programming problem with the objective function 3x₁ + 8x₂ has the optimal solution x₁ = 5,x₂ = 6.If c₂ decreases by 2 and the range of optimality shows 5 ≤ c₂ ≤ 12,the value of Z

• A)will decrease by 12.
• B)will decrease by 2.
• C)will not change.
• D)cannot be determined from this information.

---

Definitions:

Low-Sodium Diet

A dietary plan that restricts the intake of sodium to help manage blood pressure and reduce the risk of cardiovascular diseases.

Sodium Intake

The amount of sodium consumed through diet, important for regulating blood pressure and fluid balance.

Metric System

A decimal system of measurement based on meters, liters, and grams as units of length, volume, and weight, respectively.

Incentive Spirometer

A medical device used to help patients improve the functioning of their lungs and to prevent pulmonary complications by encouraging deep breathing.