Step 2: Get a pencil and BIG eraser. The best value stream maps have eraser marks all over them. Please, I beg you; don’t use a pen when drawing these.
Step 3: Have a big piece of paper ready. Your standard 8.5”x11” piece of paper won’t cut it. Personally, I prefer the 11”x17” paper size. It’s big, but not too big to carry around.
Finally, while I will be drawing the value stream map using software in this article, I recommend you always draw the map on paper first. Then, when you are ready to share your masterpiece with senior management you may choose to go for the softwar
Consider the following optimal tableau of a maximization problem where the constraints are of the s...
4) (20 pts) Consider the following optimal Simplex Tableau of an LP problem: 11 12 13 0 0 0 14 -4 1 RHS -2-40 0 1 1 1 It is known that 14 and 15 are the slack variables in the first and the second constraints of the original problem. The constraints are stype. Write the original problem.
please Solve This!! Consider a maximization problem with the optimal tableau in Table 73. The optimal solution to this LP is z = 10, x3 = 3, x4 = 5, x1 = x2 = 0. Determine the second-best bfs to this LP. (Hint: Show that the second-best solution must be a bfs that is one pivot away from the optimal solution.) TABLE 73 z X1 X2 X3 X4 rhs 1 2 10 10 10 0 3 2 1 0 3...
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0 0 18 0.5 0.5 0.5 0.5 x1 where sı and s2 are the slack variables in the first and second constraints, respectively (a) Please find the optimal solution if we add the new constraint 3x1 + x2 S 10 into the LP (b)...
2. Consider the linear programm (a) Fill in the initial tableau below in order to start the Big-M Method tableau by performing one pivot operation. (6) The first tableau below is the tableau just before the optimal tableau, and the second one oorresponds to the optimal tableau. Fill in the missing entries for the second one. 1 7 56 M15 25 01 3/2 2 0 0 1/2 0 15/2 #310 0 5/2-1 o 1-1/2 0133/2 a1 a rhs (i) Exhibit...
original right-hand Table Q2 shows the final optimal maximization simplex tableau. The sides were 100 and 90 for the two constraints. Table Q2: final optimal maximization simplex tableau 0 0.12 8.4 16 ? 99.2 04 0.48 0.20 4.24 -.24 X3 -0.20 0.40 X1 G-2 i. ii. Replace the (?) sign with the correct value. What would the new solution be if there had been 150 units available in the first constraint? ii. What would the new solution be if there...
The following tableau represents a specific simplex iteration for a maximization problem. Z x1 x2 x3 s1 s2 s3 RHS 1 0 a 0 3 5 0 15 0 0 0 1 1 0 b 3 0 1 d 0 1 2 0 5 0 0 -3 0 -2 6 1 c For each part 1)-3) specify any numerical value for each of a, b, c, and d that would: 1) allow x2 to enter the basis to improve the...
1) Consider the simplex tableau obtained after a few iterations: RHS Basic 1 1/4 5/8 57/4 57/4 0 01/4 1 1/8 /2 14 3/2 1/4 1/8 5/8 0 a) (10pts) We do not know the original problem, but is given that x and xs are the slack variables for the first and second constraints respectively. The initial basis was constructed as хв=fu xs] and after several simplex tableau iter tions the optimal basis is determined as x [x, x]. From...
1. Consider the given Objective Function and Constraints: axize Z- 38X1 16X2 Subject to: 121 27X2 145 29X1 20X2<172 with X1 0, X20 A) Determine the number of Slack Variables needed and list them. B) Use the Slack Variables to convert each constraint into a inear equation. C) Set up the Initial Simplex Tableau
Your problem will have exactly two variables (an X1 and an X2) and will incorporate a maximization (either profit or revenue) objective. You will include at least four constraints (not including the X1 ≥ 0 and X2 ≥ 0 [i.e., the “Non-negativity” or “Duh!”] constraints). At least one of these four must be a “≤” constraint, and at least one other must be a “≥” constraint; do not include any “= only” constraints. You must have a unique Optimal Solution...