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 technique in mathematics for optimizing a linear objective function, either maximizing or minimizing it, under a set of linear inequality or equality constraints. A typical linear programming problem is formulated as:\[\text{Optimize (maximize or minimize): } Z = c_1x_1 + c_2x_2 + \dots + c_nx_n,\]Here, \( Z \) represents the linear objective function, and \( x_1, x_2, \dots, x_n \) are the decision variables. The limitations or conditions are also expressed as linear equations or inequalities, for example:\[a_{11}x_1 + a_{12}x_2 + \dots + a_{1n}x_n \leq b_1.\]Given that both the objective function and the constraints are linear, the appropriate classification is (B) linear function.