LP PROBLEM PLEASE EXPLAIN thanks Search 3:30 Str1+2 + 23 + 4 2 + 35 (A) Calculate the optimal solution. Write the basis change in the optimal solution . (B) Find Inverse matrix B-1 of the optimal...
True or False? 1. If an LP has multiple optimal solutions, then all solutions have the same objective function value (such as total profit or cost). 2. As long as all prices (objective coefficients) change within their respective ranges, the optimal solution of a linear program does not change. 3. When a dual price changes within its range, the optimal solution does not change. 4. The solution of a linear program always consists of whole numbers (integers). That is why...
9. Find the change of coordinates matrix P from the basis B = {1+ 2t, 2 + 3t to the basis C = {t,1 + 5t} of P.
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 .
Given the following LP problem formulation and output data, perform the analysis below. Max. 100X1 + 120X2 + 150X3 + 125X4 s.t X1 + 2X2 + 2X3 + 2X4 < 108 (C1) 3X1 + 5X2 + X4 < 120 (C2) X1 + X3 < 25 (C3) X2 + X3 + X4 > 50 (C4) OPTIMAL SOLUTION: Objective Function Value = 7475.000 Variable Value Reduced Costs X1 8.000 0.500 X2 0.000 5.000 X3 17.000 0.000 X4 *A...
3. You are given the following matrix -4 12 2 7 a)4 points) Find a basis for the nullspace of (b) 4 points] Using the columns of A, find a basis for the column space of A (c) [2 points What are the dimensions of these spaces? (d) [2 points] ls the vector u-I1-1 0 ојт in the nullspace of A? Why? (e) [4 points] Is the vector w-17-9 9-9]T İn the column space of A? If so, express w...
Problem 3-23 (Algorithmic) Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Shaper Grinder Component 1 4 2 5 3 2 The shaper is available for 130 hours, and the grinder is available for 85 hours. No more than 350 units of component 3 can be sold, but up to 1050 units of each of...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
Figure 1 provides the Excel Sensitivity output for the following LP model. 10x1 + 8x2 Max Z= subject to: 31 +2x2 < 24 2x1 + 4x2 = 12 -2x1 + 2 x2 56 X1, X2 > 0 Variable Cells Cell Name $B$13 Solution x1 $C$13 Solution x2 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 6 0 10 1E+30 0 -12 8 12 1E+30 6 Constraints Cell $D$6 $D$7 $D$8 Name C1 Totals C2 Totals C3 Totals Final...
Question 3 : Branch and Bound max 36a1282+8as s.t. 21i + 20r2 6xs 23 a e 10, 1]3 Write the LP Relaxation of this problem. 1. 2. What type of problem is this? (this type of problem has a particular name) Solve this problem by branch-and-bound, using the branching rule for binary variables of branching o 3. the most fractional variable. On the next page, write down the branch-and-bound tree you obtained. a. Each node should include the solution letter,...
Problem 3 1. Prove that B (51, b2, b3,-4} {а, ег#3+ега, +6) is the basis for R4. al 2. Find 1 4 0 0 0 : 0 0 0 00 0 b 3. Consider the map T: R4-W with B-matrix B a 。), Find the standard matrix 1896 of T
Problem 3 1. Prove that B (51, b2, b3,-4} {а, ег#3+ега, +6) is the basis for R4. al 2. Find 1 4 0 0 0 : 0 0 0 00...