Question

In a linear programming problem, the linear function which has to be maximized or minimized is called

• A. a feasible function
• B. an objective function
• C. an optimal function
• D. a constraint

Hint:

In every Linear Programming problem, the equation you want to maximize or minimize is always called the \textbf{Objective Function}.

Answer 1

The Correct Option is B

Step 1: Understand the concept of Linear Programming.
Linear Programming (LP) is a mathematical technique used to optimize (maximize or minimize) a linear function subject to certain constraints.
In LP problems we usually have three major components:
• Decision variables
• Constraints
• Objective function
Step 2: Definition of Objective Function.
The function that we want to optimize (either maximize profit or minimize cost) is called the objective function.
For example:
\[ Z = ax + by \] where \(Z\) is the quantity we want to maximize or minimize.
Step 3: Difference from other options.
• Feasible function: refers to feasible solutions satisfying constraints.
• Optimal function: not a standard LP term.
• Constraint: inequalities restricting the solution region.
Thus the linear function to be maximized or minimized is called the objective function.
Final Answer: $\boxed{\text{Objective Function}}$