Noe 1 and 2 only have the supply as inflow, we call them the Supply Node. Node 6 only has the demand as outflow, we call it the Demand Node. The rest of the nodes are called Transhipment Node Let Si be the supply at node i and Dj be the demand at node j. Which statement regarding the general formulations of these nodes is true? A. For the Demand Nodej, the balance constraint is Σ(ijXi>=Dj B. For the Transhipment Node k, the balance constraint is ΣXik + Sk = ΣΧ
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- Three suppliers A, B and C, each produce road grit which has to be delivered to council depots W, X, Y and Z. The stock held at each supplier and the demand from each depot is known. The cost, in pounds, of transporting one lorry load of grit from each supplier to each depot is also known. This information is given in the table. Suppliers Depot W Depot X Depot Y Depot Z Stock (Lorry Loads) Supplier A 180 110 130 290 14 Supplier B 190 250 150 280 16 Supplier C 240 270 190 120 20 Demand (Lorry Loads) 11 15 14 10 50 Use VAT method to supply out all the stocksLet xj be the number of units allocated to supply-destination pair i (supply) and j (demand). If we use VAM as an initialization technique, which of the following supply- destination pairs will be allocated first? Destination 1 2 3 Supply 1 15 13 7 Source 2 11 17 5 3 9. 11 9. 3 Demand 3 Activawhat is the shawdow price of constraint 1?
- The distribution of daily demand for rental trucks at a vehicle rental company is shown in the following table: Relative Frequency Demand 0.07 0 0.14 1 0.15 2 0.14 3 0.12 4 0.08 5 0.3 6 Trucks are rented by the day only and the company makes $14 per rented truck per day. The rental company keeps four trucks at this location. Assuming that the stocking decision is optimal, what is the implied range of excess cost per truck per day? a. 0 and 186 b. 8.58064 and 14 c. 14 and 24.8889 d. 6 and 8.58064 e. 34.2759 and 79.3333HMO has 40 doctors to be apportioned among four clinics. The HMO decides to apportion the doctors based on the average weekly patient load for each clinic, given in the following table. Clinic A B C D Average Weekly 275 392 611 724 Patient Load Find the apportion of A and C using using Adam's Method. Use modified divisor 52. Doctors for clinic A Doctors for clinic B = %3D Doctors for clinic C= Doctors for clinic D =4. Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?
- Homie Appliance Company operates a branch in Manila City. The following are transactions between the home office and branch for the current year. The home office sends P200,000 cash to the branch. Shipments to branch are billed at cost of P78,750. The Home Office pays branch expense of P3,500. Home office expense of 3,375 are paid by the branch. The branch returned merchandise costing P10,000 to the home office. Home office acquires branch furniture for P20,500 cash. The said fixed asset is carried on Branch Books. The annual depreciation on the branch furniture is 5%. The branch sends a P15,000 cash remittance to home office. Q1-What is the adjusted balance of Branch Current account in the Home Office Books? Q2-What is the adjusted Home Office Current account in the Home Office Books?Qn1. Find the optimal solution to the transportation problem using MODI method. Warehouses Supply WI W2 W3 W4 P1 19 30 50 12 Plants 5. 2. P2 70 30 40 60 P3 40 10 60 20 3. 15 Demand 4)Case Located in the south of Turkey, Alanya Ice Cream Company produces and distributes 30 different ice creams. The products are distributed by the company itself, using their refrigerated truck fleet, to the hotels in Alanya. Its annual turnover is currently around 10 million TL. It is distributed among the hotels as indicated in Table 1. The company controls about 35% of the market, but this decreases below 10% in the countryside of Alanya where there are many smaller competitors. The company typically keeps stock in its central cold storage warehouses for up to four weeks to meet the distribution requirements of its six major customers. The operation of cold storage costs approximately 5000 TL per month. Storage costs are a significant expense, especially during the winter months when consumer demand is significantly reduced. Moreover, in summer, demand is sensitive to temperature. Therefore, the company estimates its sales based on increases in real spendable income. The Company…
- d. The weekly average inventory listed above cannot change much since the grocery store is limited in storage capacity, and can therefore assumed to remain constant over time. The store has calculated that having less than 3 weeks of supply will create problems keeping stock available for clients. What annual cost of goods sold will bring about this condition (3 weeks of supply)?e. The grocery store is increasingly popular and management has calculated that, on average, the cost of goods sold increase by $5 million per year, reflecting better sales. How many years will it take for the grocery store to require expansion?A company that has cement factories in Denizli, İzmir and Uşak will transport the cements to theconsumption region 1, 2 and 3. The cement production capacities of the factories are 200 tons forthe factory in Denizli, 300 tons for the factory in İzmir and 450 tons for the factory in Usak.Demand of the first consumption region is 250, demand of the second region is 100, demand of thethird region is 225 and demand of fourth region is 325 tons of cement. The transportation costbetween factories and consumption areas is as below table per ton:Factories 1. Region 2. Region 3. Region 4. RegionDenizli 15 18 12 13İzmir 10 10 11 9Usak 8 5 7 8According to these data;1) Make the initial distribution of the enterprise according to the Vogel’s Approximation Method(VAM) and calculate the total transportation cost. 2) Determine the distribution that minimizes the total transportation cost according to the (MODI)method.Casper Computer(CC) produces X model of computers of its own brand by assembling computer parts supplied from abroad and domestically, and sells them mainly domestically. The daily production capacity of CC is 30 computers. Assume that production continues throughout a week (7 days). The corresponding cost components for assembling, inspecting, and packaging per computer is $90, $80 and $20, respectively. Additionally, CC has a warehouse to hold finished computers in inventory for future deliveries and the weekly inventory holding cost per computer is $15. In order to provide quality service, CC wishes to meet all customer orders without shortage. Orders for the next 6 weeks are as follows: Weeks Computer Orders 1 2 3 4 5 6 105 170 230 180 150 250 In the beginning of the first week, there are 15 units of finished X model of computers. First build the mathematical model and then use a solver (Excel solver, LINDO or Python libraries) to solve the question. Also, provide all the details…