In an unbalanced transportation problem where total supply exceeds total demand, the supply constraints will typically have "2" inequalities in keeping with our convention of writing flows out of nodes with negative constraint coefficients and expressing the supply at the node as a negative number. O True O False
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- Oranges are grown, picked, and then processed and pack-aged at distribution centers in Tampa, Miami, and Fresno. These centers supply oranges to markets in New York,Philadelphia, Chicago, and Boston. The following tableshows the shipping costs per truckload ($100s), supply,and demand: Because of an agreement between distributors, ship-ments are prohibited from Miami to Chicago. Solve this problem. to Newfrom York Philadelphia Chicago Boston SupplyTampa $ 9 $14 $12 $17 300Miami 11 10 6 10 200Fresno 12 8 15 7 250Demand 160 210 130 180Explain why it is problematic to include a constraint such as the following in an LP model for a blending problem: Total octane in gasoline 1 blend/Barrels of gasoline 1 blend daily ≥ 10PLEASE SHOW HOW TO DO THIS WITH EXCEL. Construct and solve a linear optimization model that defies the supply chain strategy that meets the demand of each retail outlet at minimum total shipping cost.
- An oil company ships to three different customers. Customer A requires 60 tons per year, Customer B requires 24 tons, and Customer C requires 8 tons. The product costs $10,000 per ton, and holding costs are estimated at 25%. Each truck costs $800 to send as a fixed cost and incurs an additional $250 charge for each stop it makes. Each truck can haul 12 tons of the product. What is the optimal delivery policy if the oil company ships to each customer individually? What is the optimal delivery policy if the oil company aggregates all shipments to the customers?The optimal solution to the original Grand Prix problem indicates that with a unit shipping cost of $132, the route from plant 3 to region 2 is evidently too expensive—no autos are shipped along this route. Use SolverTable to see how much this unit shipping cost would have to be reduced before some autos would be shipped along this route.Leach Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of $6; a class K container, a profit of $10; and a class T container, a profit of $8. Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software. Decision variables: X1=number of class A containers to be used X2=number of class K containers to be used X3=number of class T containers to be used Resources Needed per Standard Shipment Class of Container Packing Material (pounds) Packing Time (hours) A 2 2 K 1 6 T 3 4 Total amount of resource available per week 180 pounds…
- A person starting in Columbus must visit Great Falls, Odessa, and Brownsville, and then return home to Columbus in one car trip. The road mileage between the cities is shown. Columbus Great Falls Odessa Brownsville Columbus --- 102 79 56 Great Falls 102 --- 47 69 Odessa 79 47 --- 72 Brownsville 56 69 72 --- a)Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit.Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?Consider again the CHB Inc. problem described in Problem 10. Suppose only a limtednumber of PPBs can be placed. CHB would like to place this limited number of PPBs incounties so that the allowable branches can reach the maximum possible population. Thefile CHBPop contains the county adjacency matrix described in Problem 10 as well as thepopulation of each county.
- Flanger is an industrial distributor that sources from hundreds of suppliers. The two modes of transportation available for inbound shipping are LTL (less than truck- load) and TL (truckload). LTL shipping costs $1 per unit, whereas TL shipping costs $500 per truck. Each truck can carry up to 1,000 units. Flanger wants a rule assigning products to shipping mode (TL or LTL) based on annual demand. Each unit costs $50, and Flanger uses a holding cost of 22 percent. Flanger incurs a fixed cost of $150 for each order placed with a supplier. a. Determine a threshold for annual demand above which TL is preferred and below which LTL is preferred. b. How does the threshold change [relative to part (a)] if unit cost is $150 (instead of $50 ) with all other data unchanged? Which mode becomes preferable as unit cost grows? c. How does the threshold change [relative to part (a)] if the LTL cost comes down to $0.8 per unit (instead of $1 per unit)?Oranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno.Theses warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston.The following table shows the shipping costs per truckload (in hundreds of dollars), supply, anddemand. Because of an agreement between distributors, shipments are prohibited from Miamito Chicago:To (cost, in $100)From New York Philadelphia Chicago Boston SupplyTampa 9 14 12 17 150Miami 11 10 6 10 250Fresno 12 8 15 7 200Demand 110 250 140…TowAlongmakes trailers at plants in Kansas City, Denver, and Raleigh and ships these units to distribution centers in Birmingham, Milwaukee, Los Angeles, and Seattle. In planning production for the next year, TowAlongestimates unit shipping cost between any plant and distribution center, plant capacities, and distribution center demands. These numbers are given in the table. TowAlongfaces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, while not exceeding capacity and while meeting demand. Distribution Center Plant Birmingham Milwaukee Los Angeles Seattle Capacity Kansas City $35 $40 $60 $120 12000 Denver $30 $30 $45 $130 8000 Raleigh $60 $65 $50 $100 5000 Demand 9,000 3,000 9,500 1,500 Based on the assumption, the minimal total transportation cost next year will........? ...........units of trailers will be…