WebFind the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y Constraints: x>0 y>0 Comment: These two conditions tell you the answers are in the 1st Quadrant.-----x +y 9 Graph the boundary line: y = -x+9 Solutions points are below the boundary line and in the 1st Quadrant. ... Web3x + 5y ≤ 15: 5x + 2y ≤ 10: Corresponding equation (of line) 3x + 5y = 15: 5x + 2y = 10: Intersection of line with X-axis (5, 0) (2, 0) Intersection of line with Y-axis ... Origin side: x ≥ 0, y ≥ 0 represent 1 st quadrant. Here, the objective function is Z = 5x + 2y. ∴ Z at O(0, 0) = 5(0) + 2(0) = 0. Z at Q(2, 0) = 5(2) + 2(0) = 10 ...
Find Graphically, the Maximum Value of Z = 2x + 5y, Subject to ...
WebSep 16, 2024 · An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z = 3x - 2y Constraints {1≤x≤7 {y≥2 { x - y≥ -3 . a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed … WebMaximise and minimize the objective function . Z=4x+5y. subject to the constraints . 2x+3y≤12. 5x+2y≤10. x≥0. y≥0. Give the graphical representation of the above example. asked by guest on Apr 12, 2024 at 3:23 pm. Mathbot Says... I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter. sharon center uh
Minimum and maximum z = 5x + 2y subject to the following constraints:
WebFor this purpose, we draw the graph of the inequality, 3x + 5y < 7 and check whether the resulting half-plane has common points with the feasible region or not. Hence, it can be … WebJul 1, 2024 · How can I draw the contour plot of the function z = 3x + 4y and the constraint curve x^2 + 4xy +5y^2 = 10 in the same figure ? 0 Comments. Show Hide -1 older comments. Sign in to comment. Sign in to answer this question. I have the same question (0) I have the same question (0) WebThe objective function is given by z = 3x + 4y and is subject to the following constraints: 2x + y ≤ 4 −x + 2y ≤ 4 x ≥ 0 y ≥ 0 a. Sketch the feasible region and find all its corner points. b. Find the maximum of the objective function z. sharon center villages fl