100 1 6 A 250 4 200 3. B 250 150 3 6. 9. 50 2.
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Develop a LP model for the transportation problem (cost problem). Solve the LP model to find the optimal solution and the minimum total cost.
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- Tommy Hilfiger is currently considering to source certain textile goods, Tommy Jeans, from Mexico. The estimated shipping time from Mexico to the U.S. for each shipment of Tommy Jeans is 4 days and the estimated freight cost of each shipment is $800. On the other hand, the current average shipping time from Vietnam to the U.S. for each shipment of Tommy Jeans is 23 days and the average freight cost is $2300. Even though the shipping time and freight cost seem to be much lower in case of Mexico, Tommy Hilfiger management is concerned about the production cost of each Jeans shipment. The management anticipates that the production cost of each Jeans shipment will be higher in Mexico compared to Vietnam. However, Tommy Hilfiger management has decided that even if the total cost (sum of production cost, freight cost, and holding cost) remain similar to Vietnam, Tommy Hilfiger will still source Jeans from Mexico because of the reduced shipping time, which, in turn, will result in better…Annie Russell, a student at Tech, plans to open a hot dog stand inside Tech's football stadium during home games. There are seven home games scheduled for the upcoming season. She must pay the Tech athletic department a vendor's fee of $3,000 for the season. Her stand and other equipment will cost her $4,500 for the season. She estimates that each hot dog she sells will cost her $0.35. She has talked to friends at other universities who sell hot dogs at games. Based on their information and the athletic department's forecast that each game will sell out, she anticipates that she will sell approximately 2,000 hot dogs during each game. a. What price should she charge for a hot dog to break even? b. What factors might occur during the season that would alter the volume sold and thus the break-even price Annie might charge? c. What price would you suggest that Annie charge for a hot dog to provide her with a reasonable profit while remaining competitive with other food vendors?Cutlery Corner sells specialty knives to knife enthusiasts. They have a generous advertising budget to spread among four media channels: their recurring TV show, newspaper ads, radio spots, and social media. Tom, the owner and star of the TV show is adamant that the show air at least twice a day, seven days a week but decides you can allocate the rest of the budget as you see fit. The TV shows draws 20,000 interested viewers per airing and costs $2,000 per episode. Daily newspaper ads cost $1500 and can be run up to seven days a week. Given the level of readership for newspapers, you settle on a figure of 10,000 people reached per ad. Radio spots come in 15 second and 30 second durations – 15 second spots in drive time cost $500 per airing and 30 second spots any other time of the day are a relative bargain at $250. Drive time spots are available twice a day (morning and evening commute) five days a week and reach 12,000, and the "any other time" spots could air up to six times a day…
- The following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver. From/To 1 2 3 Supply A 30 10 5 20 B 10 10 10 30 C 20 10 25 75 Demand 40 60 55 a. Is the problem balanced? [ Select ] ["Yes", "it is balanced", "No", "cannot determine"] , If not, where? [ Select ] ["Neither", "Supply", "Demand"] , and by how much? [ Select ] ["0", "40", "30", "25"] b. What is the optimal cost? $ [ Select ] ["2,500", "1,100", "1,275", "1,300"] c. Were you able to meet all demand requirement? [ Select ] ["no", "cannot determine based on the information given", "yes"] If not, which destination (s) was/were not met? [ Select ] ["none, all destinations were met based on supply and demand being equal", "destination 3 by 30 units", "destination 2 by 30 units", "destination 1 by 25 units…Explain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.Describe what is meant by the shadow price in linear programming?
- The MGMT Insurance Ltd. accepts payments on various insurance policies from employees of businesses across the island. These businesses deduct payments from employees’ salaries and pay the insurance company a lump sum each month. This total amount deducted is shown on each employee’s payslip. Deductions are due at the end of each month and each participating business submits one payment for its employees to the insurance company via online payments through the bank. However, if payments were received after 11:00 a.m., the bank does not process them until the next business day. At the beginning of each month an administrative assistant at MGMT Insurance Ltd. downloads the deductions for each company and allocates payments to the various policies. These payments include the client’s unique number along with his/her relevant policy numbers and amounts due. However, recently there has been some complaints that payments for some policies were not being allocated correctly. Additionally,…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.Find the optimal solution for the transportation problem having the cost and requirement table below. -Solve the following transportation models using Excel Solver.
- The MGMT Insurance Ltd. accepts payments on various insurance policies from employees of businesses across the island. These businesses deduct payments from employees’ salaries and pay the insurance company a lump sum each month. This total amount deducted is shown on each employee’s payslip. Deductions are due at the end of each month and each participating business submits one payment for its employees to the insurance company via online payments through the bank. However, if payments were received after 11:00 a.m., the bank does not process them until the next business day. At the beginning of each month an administrative assistant at MGMT Insurance Ltd. downloads the deductions for each company and allocates payments to the various policies. These payments include the client’s unique number along with his/her relevant policy numbers and amounts due. However, recently there has been some complaints that payments for some policies were not being allocated correctly. Additionally,…The prices for traveling between five cities in Colorado by bus are given in the table below. Use the edge-picking algorithm to find a low-cost bus route that starts and ends in Boulder and visits each city. Colorado Springs Grand Junction $48 $24 $21 $44 $57 Boulder Denver Boulder $15 Colorado Springs $24 Grand Junction $48 Durango $73 Denver $15 $21 $44 $71 O Boulder-Denver-Colorado Springs-Grand Junction-Durango-Boulder O Boulder-Colorado Springs-Denver-Durango-Grand Junction-Boulder O Boulder-Colorado Springs-Denver-Grand Junction-Durango-Boulder O Boulder-Denver-Colorado Springs-Durango-Grand Junction-Boulder O Boulder-Grand Junction-Colorado Springs-Denver-Durango-Boulder $57 $58 -- $31 Durango $73 $71 $58 $31Morgan Trucking Company operates a special pickup and delivery service between Chicago and six other cities located in a four-state area. When Morgan receives a request for service, it dispatches a truck from Chicago to the city requesting service as soon as possible. With both fast service and minimum travel costs as objectives for Morgan, it is important that the dispatched truck take the shortest route from Chicago to the specified city. Assume that the following network (not drawn to scale) with distances given in miles represents the highway network for this problem. Chicago 1 36 31 21 2 3 9 10 11 21 4 13 Find the shortest-route distance from Chicago to node 6. 6 5 6 16 6 21 7