i. What is the optimal solution if es (coefficient of x) is increased to 6? ii. How much increase or decrease can be done for the RHS of both the constraints simultancously so that the current basis remains optimal and feasible?
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- Consider a maximization problem with the optimal tableauin the following table.z x1 x2 x3 x4 rhs1 2 1 0 0 100 3 2 1 0 30 4 3 0 1 5The optimal solution is obvious here, please determine the second best BFS to this LP.4. Which of the following gives an optimal value of the objective function for the LP model in this problem?Consider an LP with the optimal tableau shown in table below. a)Does this LP have more than one BFS that is optimal?b)How many optimal solutions does this LP have? ( Hint: if the value of x3 increased, then how does this change the values of the basic variables and z-value?)
- Please help with iv v and vi with a step by step process on how we get the optimal tableauAnswer the following true or false.b. The optimal lot size for a Type 1 service objective of X percent is always lessthan the optimal lot size for a Type 2 service objective of X percent for the sameitem.Do not copy from other websites In a two-class, two-action problem if the loss function is λ11 = λ22 = 0, λ12 = 12, and λ21 = 5, write the optimal decision rule. How does the rule change if we add athird action of regret with λr = 1?
- Assume the maximum demand for Super is 600,000 barrels. What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuel R2: # of barrels of ingredient 2 used in Regular fuel R3: # of barrels of ingredient 3 used in Regular fuel S1: # of barrels of ingredient 1 used in Super fuel S2: # of barrels of ingredient 2 used in Super fuel S3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints: The total # of barrels for Regular would be R1+R2+R3. The total # of barrels for Super would be S1+S2+S3. The total # of barrels of Ingredient 1 would be R1+S1. The total # of barrels of Ingredient 2 would be R2+S2. The total # of barrels of Ingredient 3 would be R3+S3.Please answer the following in an organized way and showing steps. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements and available resources for each lot of pens are given in the following table: -Fliptop Model -Tiptop Model -Available Plastic 3 4 36 Ink Assembly 5 4 40 Molding Time 5 2 30 Use Excel's Solver and run a sensitivity report to answer the following questions: a. Over which range can the objective function coefficient for Fliptop Models change without affecting the original optimal solution? What is this range called? b. What is the shadow price (dual price) for the plastic constraint and how would you interpret it? c. What is the shadow price (dual price) for the Molding Time constraint. Does the value make sense? Over which range is the shadow price valid? What is this range called?1. What is the optimal value of x?2. What is the optimal value of y?
- 1. What is the optimal value of x? 2. What is the optimal value of y? Kindly show the step by step solution.Which of the following gives an optimal value of the objective function for the LP model in this problem? a.) (0,0) b.) (0,10) c.) (4,6) d.) None of the aboveSuppose that in solving a TSP you use the nearest-neighboralgorithm and find a nearest-neighbor tour with a total costof $13,500. Suppose that you later find out that the cost ofan optimal tour is $12,000. What was the relative error ofyour nearest-neighbor tour? Express your answer as a percentage,rounded to the nearest tenth of a percent.