Question

Arrange the following steps in the proper sequence concerning the solution of a linear programming problem.

(A) Graph each constraint as though it were binding, i.e., as if held with strict equality 
(B) Find the feasible region, the area of the graph that simultaneously satisfies all constraints 
(C) Superimpose contours of the objective function on the feasible region to determine the optimal corner of the region 
(D) Construct a graph, placing a decision variable on each axis 
Choose the correct answer from the options given below:
 

• A. (A), (B), (C), (D)
• B. (D), (A), (B), (C)
• C. (B), (A), (C), (D)
• D. (C), (B), (A), (D)

Hint:

Linear programming is an essential method for optimizing resource allocation and achieving specific objectives in business and economics.

Answer 1

The Correct Option is B

Process for Linear Programming Problem Resolution.

To effectively solve linear programming problems, a specific sequence of actions is required.

Procedural Steps:

• (D) Create a graphical representation, assigning decision variables to the axes.
• (A) Plot each constraint as if it were an equation.
• (B) Identify the region that satisfies all constraints.
• (C) Overlay objective function contours to locate the optimal vertex of this region.

Correct Sequence of Operations:

The correct order of operations is as follows: First, the graph is constructed (D). Subsequently, each constraint is graphed (A). This is followed by determining the feasible region (B). Finally, the objective function contours are superimposed to identify the optimal solution (C).

Final Determination.

The established correct sequence is (D), (A), (B), (C). Therefore, the correct answer is identified as (2).