Example 1: A Maximization Problem LP Formulation Max 5x + 7y S. 2x +3y 19 x,...
Use matrices to solve the following system of equations: 2x − 7y = 1 5x + 3y = 8
#5. Random variables X and Y have joint PDF 6exp[-(2x+3y)] ,x20, y 20 0 , otherwise x20,y20 (a) Find P[X>Y] and P[X +Y s 1 (b) Find P[ min(x.Y)1] (o) Find P| max(x.y)s1 #5. Random variables X and Y have joint PDF 6exp[-(2x+3y)] ,x20, y 20 0 , otherwise x20,y20 (a) Find P[X>Y] and P[X +Y s 1 (b) Find P[ min(x.Y)1] (o) Find P| max(x.y)s1
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?
Question 21 Solve the systems in Exercises 19-24 with the elimination method. Check your answers by substituting them back in. (Answers are not given at the back of the book.) 19. 2x + 3y = 5 20. 5x + 3y = 11 4x – 2y = 2 2x + 7y = 16 21. 3x – 7y = 27 22. 5x - 2y = -23 4x – 5y = 23 x + 2y = 5 23. 5x – 9y = -12...
1. -18 points TanFin11 4.1.002. Consider the following linear programming problem. Maximize P 4x + 7y subject to the constraints -2x -3y 2-18 (a) Write the linear programming problem as a standard maximization problem. MaximizeP subject to s 12 s 18 (b) Write the initial simplex tableau Constant 12 18 0 Submit Answer Save Progress
Consider the following integer program Max 2x+3y s.t 6x+7y23 x-y<12 xy0 x,y: integer Let V1 denote the optimal objective value of the above optimization problem. Let V2 denote the optimal objective value of the optimization problem obtained by dropping "x,y: integer" constraint. Similarly, let V3 denote the optimal objective value of the optimization problem obtained by dropping "x-y<-12" constraint which one of the following statements is correct? a. V2 V1 and V3<-V1 b. V1 V2 and V1<-V3 c. V2V1 but...
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
mize the functi 2x + 2y = 1 19. Explain why it is impossible to maximize z = 3x + 4y subject to the constraints x + y 28 2x + y = 10 x + 2y = 8 + > 0, y = 0. mize the function 20. Explain why it is impossible to maximize the z = 4x + 7y subject to the constraints 8y + 5x 2 40 4y + 9x = 36 11y + 2x =...
SOLVE USING DETERMINANTS . SHOW YOUR WORK. 2X -3Y =22 5X+4Y= -1
1. Solve the following linear programming problem by the method of corners. Maximize p=4x - 3y subject to x + 4y s 19 4x + ys 16 y20