Question

A linear programming problem deals with the optimization of a/an:

• A. logarithmic function
• B. ] linear function
• C. quadratic function
• D. ] exponential function
• E.

Hint:

Linear programming problems involve linear objective functions and constraints. These problems are solved using methods like the graphical method or the simplex method.

Answer 1

The Correct Option is B

Linear programming is a mathematical method used for optimizing (maximizing or minimizing) a linear objective function, subject to a set of linear inequality or equality constraints. The general form of a linear programming problem is: \[ \text{Optimize (maximize or minimize): } Z = c_1x_1 + c_2x_2 + \dots + c_nx_n, \] where \( Z \) is the linear objective function, and \( x_1, x_2, \dots, x_n \) are the variables. The constraints are also linear equations or inequalities, such as: \[ a_{11}x_1 + a_{12}x_2 + \dots + a_{1n}x_n \leq b_1. \] Since both the objective function and constraints are linear, the correct answer is (B) linear function.