A company manufactures a product at its plants in C and D; then ships the product to its four distribution centers in K, L, M, and N. The transportation costs per unit (in dollars per unit) are as follows: from C to K, L, M, and N: 10, 5, 9, and 20. from D to K, L, M, and N: 2, 8, 30, and 10. The monthly demand from K, L. M, and N are: 3000, 1400, 4000, and 1200 units, respectively. On the other hand, the monthly capacity at plants C and D are: 4100 and 5800 units, respectively. Develop a linear programming model that can be used to determine the distribution plan that will minimize total monthly transportation cost. Use Excel Solver to find the optimal solution The optimal solution shows that the total monthly transportation cost is dollars.
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- After applying the NWC Rule for the initial tableau of the given transportation model, evaluate the vacant cells. What is the cell which has the most negative evaluation value and what is the cell evaluation value? DESTINATION SOURCE DEMAND X Y N OX-R; 1 OY-S; -1 OX-S; -1 OY-S; -2 P 75 8 12 EI 11 Q 80 5 8 11 R 120 7 10 10 S 50 11 13 14 SUPPLY 100 125 100 325es Problem 11-4 (LO2) An appliance manufacturer has a plant near Toronto that receives small electric motors from a manufacturer located in Winnipeg. The demand for motors is 118,000 units per year. The cost of each motor is $125. The motors are purchased in lots of 3.400 units. The ownership of motors transfers to the appliance manufacturer in Winnipeg. The question is which mode of transportation, truck or train, the appliance manufacturer should use to bring the motors from Winnipeg to Toronto. The railroad company charges $3 per motor. and it takes approximately seven days by train. The trucking company charges $5 per motor, but it takes only three days. The appliance manufacturer will keep 1,400 units as safety stock if a truck is used and 2.500 units as safety stock if a train is used for transportation. Assume 365 days per year. If the holding cost rate is 25 percent of unit cost per year, which mode of transportation will minimize total transportation and in-transit and safety…A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA; St. Luis, MO). The supplier can ship every day, every other day, or every third day. There is a penalty of $0.30/cwt for each day delayed. Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty costs due to the delay. Transportation Rate (S/cwt) Shipment City Weight/day LTL 50,000 lb 50000 lb Chicago, IL 18,000 lb (180 cwt) 1.50 1.25 Athens, GA 15,000 lb (150 cwt) 1.35 1.00 St. Luis, MO 12,000 lb (120 cwt) 2.00 1.50 Total 45,000 Ib = 450 cwt Find what is the cost for the following: Shipping Every Day Shipping on the alternate Day (every two days) Shipping every three Day
- Ruby-Star Incorporated is considering two different vendors for one of its top-selling products which has an average weekly demand of 30 units and is valued at $60 per unit. Inbound shipments from vendor 1 will average 330 units with an average lead time (including ordering delays and transit time) of 4 weeks. Inbound shipments from vendor 2 will average 450 units with an average lead time of 3 weeks. Ruby-Star operates 52 weeks per year; it carries a 4-week supply of inventory as safety stock and no anticipation inventory. A. the average aggregate inventory value of the product if ruby star used vendor 1 exclusively is $_____ (enter your response as a whole number) B. the average aggregate inventory value of the product if ruby sta used vendor 2 exclusively is $______ (enter your response as a whole number) C. how would your analysis change if average weekly demand increased to 140 units per week? the average aggregate inventory value of the product if ruby star used vendor 1…Zara is a global clothing company based in Spain and it gives utmost importance to customer value, hence it tries to catch customer satisfaction in transportation. Zara expects the following points to be fulfilled by transport companies: The products must be reached to desired places on time, the products must be shipped without any damage or unwanted condition, the products must be carried to next channel level in a good condition. Additionally, Zara gives less weight to freight costs while determining product prices. Which of the followings is less important in transportation policy of Zara? Select one: a. Condition of goods b. Pricing c. Delivery performance d. Customer satisfactionEvaluate an alternative that involves consolidating all 20-foot container volumes and using onlya single consolidation center in Shanghai/Ningbo. Assume that all the existing 20-foot containervolumes and the existing consolidation center volumes are sent to this single consolidationcenter by suppliers. This new consolidation center volume would be packed into 40-footcontainers, filled to 96 percent, and shipped to the United States. The existing 40-foot volumewould still be shipped direct from the suppliers at 85 percent capacity utilization
- Cleveland Area Rapid Delivery (CARD) operates a delivery service in the Cleveland metropolitan area. Most of CARD's business involves rapid delivery of documents and parcels between offices during the business day. CARD promotes its ability to make fast and on-time deliveries anywhere in the metropolitan area. When a customer calls with a delivery request, CARD quotes a guaranteed delivery time. The following network shows the street routes available. The numbers above each arc indicate the travel time in minutes between the two locations. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows 35 For all X;; = 0, 1. (a) Develop a linear programming model that can be used to find the minimum time required to make a delivery from location 1 to location 6. (Express your answers in the form where each Xij represents the arc from node i to node j as either 1 or Xijr 0.) 30 12 p.m. 3 Need Help? Read It 18 15 39 12 16 5 (b) How long (in minutes) does it take to…Describe the transport system in terms of: 1a. Physical: 1b. Financial:Ruby-Star Incorporated is considering two different vendors for one of its top-selling products which has an average weekly demand of 50 units and is valued at $75 per unit. Inbound shipments from vendor 1 will average 350 units with an average lead time (including ordering delays and transit time) of 2 weeks. Inbound shipments from vendor 2 will average 500 units with an average lead time of 1 week. Ruby-Star operates 52 weeks per year; it carries a 2-week supply of inventory as safety stock and no anticipation inventory.a. What would be the average aggregate inventory value of this product if Ruby-Star used vendor 1 exclusively?b. What would be the average aggregate inventory value of this product if Ruby-Star used vendor 2 exclusively?c. How would your analysis change if average weekly demand increased to 100 units per week?
- Ruby-Star Incorporated is considering two different vendors for one of its top-selling products which has an average weekly demand of 30 units and is valued at $100 per unit. Inbound shipments from vendor 1 will average 300 units with an average lead time (including ordering delays and transit time) of 4 weeks. Inbound shipments from vendor 2 will average 490 units with an average lead time of 1 week. Ruby-Star operates 52 weeks per year; it carries a 4-week supply of inventory as safety stock and no anticipation inventory. a. The average aggregate inventory value of the product if Ruby-Star used vendor 1 exclusively is $39,000. (Enter your response as a whole number.) b. The average aggregate inventory value of the product if Ruby-Star used vendor 2 exclusively is $ (Enter your response as a whole number.)13.2 A company manufactures component parts for machine tools in North America and ships them to Southeast Asia for assembly and sale in the local market. The components are shipped by sea, transit time averages 6 weeks, and the shipping costs $2700 per shipment. The company is considering moving the parts by air at an estimated cost of $7500; the shipment taking 2 days to get there. If inventory in transit for the shipment costs $125 per day, should they ship by air?A company is producing a single product and selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in five more cities that do not have any agency of the company The company is faced with the problem of deciding on how to assign the existing agencies to dispatch the product to the additional cities in such a way that the travelling distance is minimised. The distances (in km) between the surplus and deficit cities are given in the following distance matrix.