Question
Perform the exercise either by graphic method, branching and dimensioning or by cutting planes Max z = 2X1 + X2 5X1 + 2X2 ≤ 10 X1, x2 ≥ 0, integers
131
likes653 views
Answer to a math question Perform the exercise either by graphic method, branching and dimensioning or by cutting planes Max z = 2X1 + X2 5X1 + 2X2 ≤ 10 X1, x2 ≥ 0, integers
Sigrid
4.5119 Answers
To solve this problem using graphical method, we first need to graph the constraint equation:
5X1 + 2X2 = 10
Now we find the intercepts by settingX1 = 0
2X2 = 10
X2 = 5
And by settingX2 = 0
5X1 = 10
X1 = 2
Plotting these points on the graph and drawing the line, we see that the feasible region is the triangle below the line and bounded by the axes.
Next, we identify the corner points of the feasible region. Since the region is bounded by the axes and the line, the corner points are the intersection of the line and the axes:
A(2,0), B(0,5), C(0,0)
Now substitute these corner points into the objective functionZ = 2X1 + X2
Z_A = 2(2) + 0 = 4
Z_B = 2(0) + 5 = 5
Z_C = 2(0) + 0 = 0
The maximum value ofZ \boxed{5} X2 = 5 X1 = 0
Now we find the intercepts by setting
And by setting
Plotting these points on the graph and drawing the line, we see that the feasible region is the triangle below the line and bounded by the axes.
Next, we identify the corner points of the feasible region. Since the region is bounded by the axes and the line, the corner points are the intersection of the line and the axes:
Now substitute these corner points into the objective function
The maximum value of
Frequently asked questions (FAQs)
What is the determinant of a 3x3 matrix formed by the basis vectors (1,2,3), (4,5,6), and (7,8,9)?
+
Find the domain of the trigonometric function f(x) = sin(x) + cos(x).
+
What is the derivative of f(x) = 3x^4 - 8x^2 + 2x - 5 using the power rule and the constant rule?
+
New questions in Mathematics