Solve the following linear program using the graphical solution procedure: (1) What are the value of A and B at each extreme point and (2) an optimal solution?
Max 5 A + 7 B
s.t (1) A <= 6
(2) 2 A + 3 B >= 18
(3) A + B <= 8
(4) A and B are Non-Negative
Solve the following linear program using the graphical solution procedure: (1) What are the value of...
n trevende ang cangge co de SBN 9781337810026210360 Mat Cengage Learning GAGE MINDTAP Search this course 2. An Introduction to Linear Programming MAAI IL Solve the following linear program using the graphical solution procedure: Max 5 + 5B 14 S 100 1B S 80 24 + 4B 5400 AB20 12. Consider the following linear programming problem: Max ЗА + ЗВ 24 + 4B 512 6A + 4B 524 ABO a. Find the optimal solution using the graphical solution procedure. b....
Question 1. (30 points) You are provided with the following integer program: max := 3x + y 8.t. x + 1.6y S8 - 5 + 6x = 15 35.5 x,y20 and integer (a) On the graph provided on the following page, use the graphical solution method to identify the feasible points on your graph. (Use the scale 1 by 1 for each small square so that you can visually detect the feasible integer solutions.) (b) Enumerate the feasible extreme points...
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.
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?
For the linear program Max 3 A + 3 B s.t. A + 2B ≤ 8 5A + 3B ≤ 15 A, B ≥ 0 Draw graph that identifies the optimal solution. What is the value of the objective function at the optimal solution?
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)...
Consider the following linear program: Max 2A + 10B s.t. 3A ≤ 15 B ≤ 6 4A + 4B = 28 A, B ≥ 0 a. draw graph that shows the feasible region for the problem b. What are the extreme points of the feasible region c. Draw graph that shows the optimal solution for the problem
Problem 2-10 (Algorithmic) For the linear program Max 3 A + 3 B s.t. A + 3B ≤ 9 10A + 6B ≤ 30 A, B ≥ 0 select the correct graph that identifies the optimal solution. What is the value of the objective function at the optimal solution? (i) BA (ii) BA (iii) BA (iv) BA The value of the objective function at the optimal solution is .
Solve the following linear fractional program: max ? = ?1+2?2+?3+6/ 3?1+?3+5 s.t. ?1 + ?2 + 3?3 ≤ 10 2?1 + 3?2 ≤ 7 ?1,?2,?3 ≥ 0 Let ? = 1/ 3?1+?3+5 and ?1 = ??1,?2 = ??2, ?3 = ??3.
Solve the following linear programming problems as directed. Put in a box the values of all the variables you use in your solution, as well as the optimal value of the objective function. a) SIMPLEX METHOD Max Z = 11X1 + 10X2 s.t. 2 X1 + X2 <= 150 4 X1 + 3 X2 <= 200 X1 + 6 X2 <= 175 X1, X2 >= 0 b) GRAPHIC METHOD (do not forget to indicate the feasible region) Min Z = 30...