Final answer:
Graphically solving a linear programming model with 4 decision variables is false, as graphical methods are limited to two-dimensional problems. Analytical techniques like the Simplex method are necessary for higher dimensions and offer more accuracy.
Step-by-step explanation:
The statement that it is possible to solve graphically a linear programming model with 4 decision variables is false. Graphical methods are typically used for linear programming problems with two decision variables. These can be represented on a two-dimensional graph where the feasible region is identified and the optimal solution is found at one of the vertices of this region.
For linear programming problems involving more than two decision variables, analytical techniques such as the Simplex method are used. Analytical methods are more accurate than graphical methods because they can handle multiple dimensions and can process exact mathematical calculations to find optimal solutions, while graphical methods rely on a visual representation which is less precise and can be subject to interpretation error.