For the following linear programming problem
a. change to standard for;
b. use graphical approach to find complete optimal solutions(X, Y and optimal objective function value)
Max 5X+6Y
s.t. 3X+Y <= 15
X+2Y <= 12
3X+2Y <= 24
X, Y >= 0
For the following linear programming problem a. change to standard for; b. use graphical approach to...
Find the complete optimal solution to this linear programming problem (using Excel) and enter the optimal x value. Max 5X + 6Y s.t. 3X + Y <= 15 X + 2Y <= 12 3X + 2Y <= 24 X , Y >= 0 Find the complete optimal solution to this linear programming problem using Excel and type in the optimal value of X below (X*=?). Max 2X + 3Y s.t. 4X + 9Y <= 72 10X + 11Y <= 110...
10. For the following linear programming problem, determine the optimal solution by the graphical solution method. Are any of the constraints redundant? If yes, then identify the constraint that is redundant. Max x + 2y s.t. x + y<= 3 x - 2y >=0 y<= 1 x, y >= 0 Please show all work in excel and step by step with formulas no solvers mode.
Graphical Method of Linear Programming 3. Find the minimum value of the objective function z = 5x + 7y, where x = 0 and y 0, subject to the constraints a. 2x + 3y 26 b. -x + y S4 c. 3x-y = 15 d. 2x + 5y = 27.
QUESTION 15 3 p The objective of a linear programming problem is to maximize 1.50X + 1.50Y, subject to 3X + 2Y = 600, 2X +4YS 600, and X,Y 2 0. What is the optimal (best) value of the objective function, subject to the constraints and rounded to the nearest whole number? 225 300 338 425 500
4. (40%) using the graphical method find the solution for the following problem. Verify this solution using the KKT requirements. Plot the gradients of the objective function and the active constraints at the optimal point MinfcX,y)- (x-3)2 (Y-3) s.t 9:X+2Y-6s 92: 2X+Y-6s0 4. (40%) using the graphical method find the solution for the following problem. Verify this solution using the KKT requirements. Plot the gradients of the objective function and the active constraints at the optimal point MinfcX,y)- (x-3)2 (Y-3)...
. Solve the following LP minimization problem. Min 3X + 2Y s.t. 5X + 3Y <= 30 3X + 4Y >= 36 Y >= 7 X , Y >= 0 Group of answer choices X = 0, Y= 9 The optimal value of the objective function is 5. None of the other answers are correct. The optimal value of the objective function is 7. X = 1,...
2- The following linear programming problem maximizes the profit in a manufacturing setup. Suppose that the first and second constraints show the labor and material constraint, respectively max z = 4x + 3x, +5x, S.T. x + 2x + 3x, 39 +3x, + x, 312 *.*, 20 Optimal table: NS RHS 6/5 X3 1/5 2/5 -1/5 3/5 X1 -1/5 27/5 O 18/5 6/5 - 1) Fill the blank cells in the table using Simplex Matrix Math. 2) Find the range...
Consider the following linear program: Max 2X + 3Y s.t. 5X +5Y ≤ 400 -1X+ 1Y ≥ 10 1X + 3Y ≥ 90 X, Y ≥ 0 a. Use the graphical solution procedure to find the optimal solution. b. Conduct a sensitivity analysis to determine the range of optimality for the objective function coefficients X & Y. c. What are the binding constraints? d. If the right-hand-side of the binding constraints are marginally increased, what will be the Dual Value?
Use graphical methods to solve the following linear programming problem. Maximize: z= 3x + y subject to: x-ys7 3x + 5y = 45 X20, y20 Graph the feasible region using the graphing tool to the right. Click to enlarge graph , at the corner point The maximum value of z is (Simplify your answers.) of T o to 12 14 16
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...