Consider the following transshipment network for finding the shortest route from node 1 to node 7. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows (a) Formulate a linear programming model of the problem. (Express your answers using Xi where each Xij is either 0 or 1 for the arc from node i to node j.) Node 6 Flows Node 7 Flows 1 For all x₁ = 0, 1. 9 18 5 6 N 3 6

9-39. Grey Construction would like to determine the leastexpensive way of connecting houses it is buildingwith cable TV. It has identified 11 possible branchesor routes that could be used to connect the houses.The cost in hundreds of dollars and the branches aresummarized in the following table. (b) After reviewing cable and installation costs,Grey Construction would like to alter the costsfor installing cable TV between its houses.The first branches need to be changed. Thechanges are summarized in the followingtable. What is the impact on total costs?

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NOTE: The answer of this question should be limited to ONE page of writing with reasonable size of fonts. The provincial government plans to distribute certain types of vaccines to the 3 major urban centers of the province covering a large portion of the provincial population. The 5 million doses of vaccines are expected to arrive in large batches at one of the major cargo airports by 2 military transporter airplanes in a single day. The vaccines will then be distributed to the 3 cities with the number of doses corresponding to the population sizes of the 3 cities. They will be further distributed to the 20 hospitals and about 200 local clinics in these 3 cities. Officials of the provincial health agency must plan for the upcoming vaccine distribution. Assume that you are asked to suggest several methods/tools in Industrial Engineering and Operations Research you have learned from this course. Present 3 such methods and for EACH of these methods, briefly explain: 6.1) For solving which…

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A beer distributor needs to plan how to make deliveries from its warehouse (node 1) to a supermarket (node 7), as shown in the network below. s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows 1 Node 7 Flows 3 Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let x₁, represent the flow from node i to node j.) +9x56 + Min 3x12 + 3x15 + 11x16 + 6x23 + 5x34 + 3x46 +4x47 3 Xij > 0 for all i and j 11 *12+*15 +*16 *12*23 *23 + x34 x47+x46 = 1 6 X *16*56 +46-67 *47 +x67 9 = 0 5 X 4 3 3x67 X

33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…

Beeson Co. is experiencing a decrease in sales and operating income for the fiscal year ending December 31st. Julia Faure, controller of Beeson Co., has suggested that all orders received before the end of the fiscal year be shipped by midnight, December 31st even if shipping department must work overtime. Since Beeson Co. ships all merchandise FOB shipping point, it would record all such shipments as sales for the year ending December 31st, thereby offsetting some of the decreases in sales and operating income.Discuss whether Julia Faure is behaving in a professional manner and what are the implications of her actions?

15 X 10 6 15.5 1 (Max Flow Problem) 2 12 3 5 4.5 5 4 14.5 6 5 15.5 4.5 N Find the maximum flow from Node X to Node Z.

allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)