just problem number 4 please! thank you!
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) sol...
USE THE BRANCH AND BOUND (B&B) ALGORITHM!!!! Please show all the steps, including the branching and the graphs. 362 Chapter 9 nteger Linear Programming 9-56. Develop the B&B tree for each of the following problems. For coaseni xi as the branching variable at node 0. (a) Maximizez 3xi + 2r2 subject to x, x2 2 0 and integer (b) Maximizez2r, + 3x2 subject to 5x 7x2 s 35 x1, x2 0 and integer (c) Maximizezx + x2 subject to 2x1...
Question 3: Identify which of LP problems (1)--(4) has (x1,x2) = (20,60) as its optimal solution. (1) min z = 50xı + 100X2 s.t. 7x1 + 2x2 > 28 2x1 + 12x2 > 24 X1, X2 > 0 (2) max z = 3x1 + 2x2 s.t. 2x1 + x2 < 100 X1 + x2 < 80 X1 <40 X1, X2 > 0 (3) min z = 3x1 + 5x2 s.t. 3x1 + 2x2 > 36 3x1 + 5x2 > 45...
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
2 - 5 For each system below, (a) solve the initial value problem, and (b) determine the type and stability of the critical point at (0,0). x'= 5x - 5x2 X2' = 2xı + 3x2 xi(–117) = 7, x2(–117) = 3.
NOTE: Plz solve step by step method so i can learn the process. Thanks Use the following system of equations to solve problems x1 3x2 2x3 4 6x1 4x2 7x3 10 5x1 8x2 6x3 14 6) (4 points) Use Doolittle's Decomposition without any pivoting to solve the system above, what would the "d" vector be? a. [7:-40; -24] b. [8;-43; -22] c. [9-45; -20] d. [10:-48; -18] None of the above e. Use the following system of equations to solve...
2a. Consider the following problem. Maximize 17-Gri +80 Subject to 5x1 + 2x2 320 i 212 10 and Construct the dual problem for the above primal problem solve both the primal problem and the dual problem graphically. Identify the corner- point feasible (CPF) solutions and comer-point infeasible solutions for both problems. Calculate the objective function values for all these values. Identify the optimal solution for Z. I 피 University 2b. For each of the following linear programming models write down...
Consider the LP formulation given below for a typical two product mix problem in which the resources used are Materials, Labor Hours, and storage. Each ton of product-1 requires 2 hours of labor, 4 tons of materials, and 25 cubic meters of storage. A ton of product-2 requires 1 hours of labor, 3 tons of materials, and 30 cubic meters of storage. In every week the firm has 100 Labor Hours, 240 Tons of Materials, and a storage capacity of...
how to solve this?! Section III Longer Problems (4 points each - 68 points total). Show your work. 1. Consider Mary's utility function u(x1, +2) = [min{2x1, x2}]} (a) Draw Mary's indifference curve that yields u = 1 and u = 2. Mark the kink clearly. (b) Derive Mary's optimal demand function for each of the goods, i.e., find ai (P. P. m) and (P1, P2, m). (C) If Pi = 1, P2 = 1 and m 6, what is...
Please solve the problems (d),(e),(f),(g) 3. (20 pts) Do not use a computer to complete the answers for this problem. Show your work in all problems. Consider the following data: 2 -2 2 1 0 4 0 2 10 0 -2 8 Consider the multiple regression model where ci ~ iid N(0, σ*) for i 1, 2, 3, 4, 5. (a) Fill in the values for response vector, design matrix and coefficient vector: X- (b) Find the vector of least...
Please show work Your group should discuss and solve all problems below. Each student in the group should prepare a neat solution to ONE of the 4 problems (different problems for each group member) Consider the two vectors A and B having directions as shown in the fi 0Al A 61 units) and the magnitude of B is 55 un55 units) 1. gure. The magnitude of A is 61 units ㄩ 52" B68 (a) Write an expression for each vector...