eBookProblem 11-3Consider the following all-integer linear program:Max 1x₁ + 1x₂s.t.4x₁ + 6x₂ = 221x₁ + 5x₂ = 152x₁ + 1x₂ = 9x₁.₂0 and integera. Choose the correct graph which shows the constraints for this problem and uses dots to indicate all feasible integer solutions.(0)(III)721(1)(iv)¹22541 b. Solve the LP Relaxation of this problem.The optimal solution to the LP Relaxation is x1 =c. Find the optimal integer solution.The optimal solution to the LP Relaxation is x1 =x2 =Its value isIts value is

Find the given details below:Objective Functions and Constraints:Objective…

Answered: Consider the following all-integer…

Practical Management Science

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 11 4 $B$3 Product_2 175 0 25 12 14 $B$4 Product_3 0 −1.5 25 8 5 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 multiple choice Product_1 Product_2 Product_3
Multiple optimal solutions exist when(choose one below) (a) the objective function's level curves are parallel to a constraint (b) for at least one objective function coefficient, the allowable increase/decrease is zero. (c) for at least one constraint, the shadow price is zero. Both (a) and (b). Both (a) and (c). Both (b) and (c). All (a), (b), (c) are true.
V (37) WhatsApp hackerrank.com/test/61t34mddd77/questions/e1n028rg0cd 19m left Returns Lang Constraints ALL long int: the minimum length of the subarray with a sum equal to k. asa • 1 ≤ n ≤ 105 HackerRank Confide 14 15 16 17 14567 1 18 • 0 ≤ arr[i]≤ 105 19 1 ≤ k ≤ 109 20 21 22 Input Format For Custom Testing 23 24 ▼Sample Case 0 25 26 Sample Input For Custom Testing 27 STDIN FUNCTION 28 29- 537212 arr[] size n = 5 30 → Į inceprasad - 13003 arr [3, 7, 2, 1, 2] 31 32 33 > 5 k = 5 HackerRank Confidentia 27 27 28 Sample Output 2 Explanation The infinite_array = [3, 7, 2, 1, 2, 3, 7, 2, 1, 2, 3, 7,...] There are two possible subarrays can be chosen, i.e., [2, 1, 2] and [2, 3]. The smallest among them is [2, 3]. Hence the answer is 2ank Confic Type here to search I Test
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L.P. Model: Maximize Z= 8X+2Y Subject to: 1X+2Y≤6 (C1) 5X+1Y≤20 (C2) X,Y≥0 On the graph on right, the constraints C1 and C2 have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places).
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Please do not give solution in image formate thanku. 3. Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds. Kings will net a profit of $250 on each bracelet, which is made with 2 rubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5 rubies, 7 diamonds, and 3 emeralds. Formulate as an LP problem to maximize profit?
1 ton of material 1 ton of material 2, and 11/13 3 10 The Kashif Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of ton of material 1 and 3 ton of material 3. A ton of solvent base is a mixture of // Kashif's production is constrained by a limited availability of the three raw materials. For the current production period, Kashif has the following quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Management wants to achieve the following P, priority level goals. Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base. Assume there are no other goals. (a) Is it possible for management to achieve both P₁ level goals given the constraints on the amounts of each material available? If not, which constraint is the limiting factor? O Yes. It is possible to satisfy both P₁ level goals. O No. There is an insufficient…
Q3. Solve the given LP problem on the right by using graphical solution method. a- Find the optimal solution. b- Find the optimality range for the changes in the objective coefficient c2. c- Find the feasibility range for the changes in the RHS of one of the binding constraints. (LP): Max Z = st. 2X₁ + 2X₁ + X₁ + X1, X2 ≥ 0 3X₁ + 2X₂ 2X₂ ≤ 5 X₂ ≤ 4 2X₂ ≥ 4
While stars are less common on trees, lights are almost always on trees. Let's suppose that 91% of trees have lights. Describe the distribution of the number of trees with lights in a group of 30 trees. (bonus: shape? How is this shape different than the shape of the # of stars?) Ice89® Describe the distribution of the number of trees you have to see until you see one with lights. Since this is the last one, you can each other's answers. Share With Class
Hh4. What is the total cost of meeting customer requirements each day?
Answer the next TWO (2) questions using the following linear programming problem and the corresponding graphical solution: Max subject to Z=30 x₁ +20 x₂ 2 x₁ + 2x₂ ≤8 8 x₁ +4x2 ≤24 X₂ 2 (constraint I) (constraint II) 13. What is the upper bound of the sensitivity range for the coefficient of x₁ in the objective function? a. 60 b. 10 c. 40 d. 20 14. What is the upper bound of the sensitivity range for the Right-Hand Side (RHS) of constraint I? a. 8 b. 12 c. 4 d. 6

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Consider the following all-integer linear program: Max 1x₁ + 1x₂ S.L. 4x1 + 6x₂ = 22 1x₁ + 5x₂ = 15 2x₁ + 1x₂ = 9 x₁.₂0 and integer a. Choose the correct graph which shows the constraints for this problem and uses dots to indicate all feasible integer solutions. (0) € (1) 6