Submitted By smartsolution

Words 444

Pages 2

Words 444

Pages 2

Chapter 6 4. Consider the following transportation problem: From | To (cost) | Supply | | 1 | 2 | 3 | | A | $ 6 | $ 9 | $100 | 130 | B | 12 | 3 | 5 | 70 | C | 4 | 8 | 11 | 100 | Demand | 80 | 110 | 60 | |

Formulate this problem as a linear programming model and solve it by using the computer. 6. Consider the following transportation problem: From | To (cost) | Supply | | 1 | 2 | 3 | | A | $ 6 | $ 9 | $ 7 | 130 | B | 12 | 3 | 5 | 70 | C | 4 | 8 | 11 | 100 | Demand | 80 | 110 | 60 | |

Solve it by using the computer. 36. World Foods, Inc., imports food products such as meats, cheeses, and pastries to the United States from warehouses at ports in Hamburg, Marseilles and Liverpool. Ships from these ports deliver the products to Norfolk, New York and Savannah, where they are stored in company warehouses before being shipped to distribution centers in Dallas, St. Louis and Chicago. The products are then distributed to specialty foods stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the U.S. cities and the available supplies (1000 lb.) at the European ports are provided in the following table: From | To (cost) | Supply | | 4. Norfolk | 5. New York | 6. Savannah | | 1. Hamburg | $420 | $390 | $610 | 55 | 2. Marseilles | 510 | 590 | 470 | 78 | 3. Liverpool | 450 | 360 | 480 | 37 |

The transportation costs ($/1,000 lb.) from each U.S. city of the three distribution centers and the demands (1,000 lb.) at the distribution centers are as follows: Warehouse | Distribution Center | | 7. Dallas | 8. St. Louis | 9. Chicago | 4. Norfolk | $ 75 | $ 63 | $ 81 | 5. New York | 125 | 110 | 95 | 6. Savannah | 68 | 82 | 95 | Demand | 60 | 45 | 50 |

Determine the optimal shipments between the European ports and the…...

...MAT540 Week 6 Discussion and Homework Click below link for Answer http://workbank247.com/q/mat-540-week-6-homework/2897 http://workbank247.com/q/mat-540-week-6-homework/2897 Discussion Discuss LP Models Select one (1) of the following topics for your primary discussion posting: • The objective function always includes all of the decision variables, but that is not necessarily true of the constraints. Explain the difference between the objective function and the constraints. Then, explain why a constraint need not refer to all the variables. • Pick any constraint from any problem in the text, and explain how to plot the line that corresponds to that constraint. Homework Chapter 2 2. A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit, and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. 6. The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood,......

Words: 650 - Pages: 3

...MAT 540 Week 6 Homework Set 3 Click below link for Answer http://workbank247.com/q/mat-540-week-6-homework/2897 http://workbank247.com/q/mat-540-week-6-homework/2897 Homework Chapter 2 2. A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit, and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. 6. The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this problem. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. 7. In Problem 6, how much labor and wood will be unused if the optimal...

Words: 573 - Pages: 3

...MAT 540 Week 7 Homework Click below link for Answer http://workbank247.com/q/mat-540-week-7-homework/3681 http://workbank247.com/q/mat-540-week-7-homework/3681 Chapter 3 8. Solve the model formulated in Problem 7 for Southern Sporting Goods Company using the computer. a. State the optimal solution. b. What would be the effect on the optimal solution if the profit for a basketball changed from $12 to $13? What would be the effect if the profit for a football changed from $16 to $15? c. What would be the effect on the optimal solution if 500 additional pounds of rubber could be obtained? What would be the effect if 500 additional square feet of leather could be obtained? Reference Problem 7. Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. The resource requirements for each product and the total resources available are as follows: | Resource Requirements per Unit | Product | Rubber (lb.) | Leather (ft2) | Basketball | 3 | 4 | Football | 2 | 5 | Total resources available | 500 lb. | 800 ft2 | 10. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: | Hours/ Unit | Product | Line 1 | Line2 | A | 12 | 4 | B | 4 | 8 | Total Hours | 60 | 40 | a. Formulate a linear programming model to......

Words: 1110 - Pages: 5

...MAT 540 Week 8 Homework Click below link for Answer http://workbank247.com/q/mat-540-week-8-homework/4118 Chapter 4 14. Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table: Ore | Metal (%) | Impurities (%) | Cost/Ton | | A | B | C | D | | | 1 | 19 | 15 | 12 | 14 | 40 | 27 | 2 | 43 | 10 | 25 | 7 | 15 | 25 | 3 | 17 | 0 | 0 | 53 | 30 | 32 | 4 | 20 | 12 | 0 | 18 | 50 | 22 | 5 | 0 | 24 | 10 | 31 | 35 | 20 | 6 | 12 | 18 | 16 | 25 | 29 | 24 | When the metals are processed and refined, the impurities are removed. The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. 19. As a result of a recently passed bill, a congressman’s district has been allocated $4 million for programs and projects. It is up to the congressman to decide how to distribute the money. The congressman has decided to allocate the money to four ongoing programs because of their......

Words: 1320 - Pages: 6

...MAT 540 Week 8 Homework Click below link for Answer http://workbank247.com/q/mat-540-week-8-homework/4118 Chapter 4 14. Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table: Ore | Metal (%) | Impurities (%) | Cost/Ton | | A | B | C | D | | | 1 | 19 | 15 | 12 | 14 | 40 | 27 | 2 | 43 | 10 | 25 | 7 | 15 | 25 | 3 | 17 | 0 | 0 | 53 | 30 | 32 | 4 | 20 | 12 | 0 | 18 | 50 | 22 | 5 | 0 | 24 | 10 | 31 | 35 | 20 | 6 | 12 | 18 | 16 | 25 | 29 | 24 | When the metals are processed and refined, the impurities are removed. The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. 19. As a result of a recently passed bill, a congressman’s district has been allocated $4 million for programs and projects. It is up to the congressman to decide how to distribute the money. The congressman has decided to allocate the money to four ongoing programs because of their......

Words: 1320 - Pages: 6

...MAT 540 Week 8 Homework Chapter 4 14. Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table: Ore | Metal (%) | Impurities (%) | Cost/Ton | | A | B | C | D | | | 1 | 19 | 15 | 12 | 14 | 40 | 27 | 2 | 43 | 10 | 25 | 7 | 15 | 25 | 3 | 17 | 0 | 0 | 53 | 30 | 32 | 4 | 20 | 12 | 0 | 18 | 50 | 22 | 5 | 0 | 24 | 10 | 31 | 35 | 20 | 6 | 12 | 18 | 16 | 25 | 29 | 24 | When the metals are processed and refined, the impurities are removed. The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. 19. As a result of a recently passed bill, a congressman’s district has been allocated $4 million for programs and projects. It is up to the congressman to decide how to distribute the money. The congressman has decided to allocate the money to four ongoing programs because of their importance to his district – a job training program, a parks project, a sanitation project,......

Words: 1315 - Pages: 6

...MAT 540 Week 9 Homework CH 5 Chapter 5 6. The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regions – the South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month of the company, a salesperson in the East earns $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The company has a total of $750 per day available for expenses for all 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to determine the number of salespeople to assign to each region to maximize profit. a. Formulate an integer programming model for this problem b. Solve this model by using the computer. 10. Solve the following mixed integer linear programming model by using the computer: Maximize Z = 5 x1 + 6 x2 + 4 x3 Subject to 5 x1 + 3 x2 + 6 x3 ≤ 20 x1 + 3 x2 ≤ 12 x1, x3 ≥ 0 x2 ≥ 0 and integer 14. The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000). Further, if project 2 is selected,......

Words: 613 - Pages: 3

...MAT540 Homework Week 4 Page 1 of 4 MAT540 Week 4 Homework Chapter 15 1. The manager of the Carpet City outlet needs to make an accurate forecast of the demand for Soft Shag carpet (its biggest seller). If the manager does not order enough carpet from the carpet mill, customers will buy their carpet from one of Carpet City’s many competitors. The manager has collected the following demand data for the past 8 months: Demand for Soft Shag Carpet (1,000 yd.) 9 8 7 8 10 11 13 12 Month 1 2 3 4 5 6 7 8 a. Compute a 3-month moving average forecast for months 4 through 9. b. Compute a weighted 3-month moving average forecast for months 4 through 9. Assign weights of 0.50, 0.30, and 0.20 to the months in sequence, starting with the most recent month. c. Compare the two forecasts by using MAD. Which forecast appears to be more accurate? 2. The manager of the Petroco Service Station wants to forecast the demand for unleaded gasoline next month so that the proper number of gallons can be ordered from the distributor. The owner has accumulated the following data on demand for unleaded gasoline from sales during the past 10 months: Month October November December January February March April May June July Gasoline Demanded (gal.) 800 725 600 500 625 690 810 935 1,200 1,100 MAT540 Homework Week 4 Page 2 of 4 a. Compute an exponentially smoothed forecast, using an α value of 0.30. b. Compute the MAPD. 3. Emily Andrews has invested in a science and technology mutual fund. Now......

Words: 860 - Pages: 4

...MAT 540 Week 8 Homework Download A+++ plgrism free and 100% accurate answer from here http://www.homeworkmarket.com/content/mat-540-week-8-homework-0 MAT 540 Week 8 Homework Chapter 4 14. Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table: Ore Metal (%) Impurities (%) Cost/Ton A B C D 1 19 15 12 14 40 27 2 43 10 25 7 15 25 3 17 0 0 53 30 32 4 20 12 0 18 50 22 5 0 24 10 31 35 20 6 12 18 16 25 29 24 When the metals are processed and refined, the impurities are removed. The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer. 19. As a result of a recently passed bill, a congressman’s district has been allocated $4 million for programs and projects. It is up to the congressman to decide how to distribute the money. The congressman has decided to allocate the money to four ongoing programs because of their importance to his district – a job training program, a parks......

Words: 1359 - Pages: 6

... WEEK 10, Discussion Question 1: “Transshipment Problems” Can we apply transshipment models to inventory applications? Why or why not? Is the transportation model an example of decision making under certainty or decision making under uncertainty? Why? Can we apply transshipment models to inventory applications? Why or why not? Yes, transshipment models can be applied to inventory applications. This will ensure lower costs through proper management and disbursement of the inventory while providing faster response times. The inventory levels can be managed by location in order to ensure minimal levels and the shipping will occur for less cost and faster service due to inventory placement within regions (Taylor III, 2011). Is the transportation model an example of decision making under certainty or decision making under uncertainty? Why? The transportation model is an example of decision making under certainty. The data, in this case the route and items, has to be known in order for the decision making to be determined under certainty (Taylor III, 2011). Explain the assignment model and how it facilitates in solving transportation problems. What benefits would be gained from using this model? 2ND RESPONSE Can we apply transshipment models to inventory applications? Why or why not? Yes, it does seem that transshipment models can be applied to inventory applications. Inventory applications deal with transporting goods to different destinations just like the......

Words: 797 - Pages: 4

...MAT 540 Week 4 Homework MAT 540 Week 6 Homework Click below link for Answer visit www.workbank247.com http://workbank247.com/q/mat540-mat-540-complete-course-week-1-to-week-11-l/11635 http://workbank247.com/q/mat540-mat-540-complete-course-week-1-to-week-11-l/11635 MAT 540 Week 4 Discussion Discuss Forecasting Methods Select one (1) of the following topics for your primary discussion posting: * Identify any challenges you have in setting up a time-series analysis in Excel. Explain what they are and why they are challenging. Identify resources that can help you with that. * Explain how forecasting is used in the real world. Provide a specific example from your own line of work, or a line of work that you find particularly interesting. MAT 540 Week 4 Homework MAT540 Homework Week 4 Page 1 of 5 MAT540 Week 4 Homework Chapter 15 1. The manager of the Carpet City outlet needs to make an accurate forecast of the demand for Soft Shag carpet (its biggest seller). If the manager does not order enough carpet from the carpet mill, customer will buy their carpet from one of Carpet City’s many competitors. The manager has collected the following demand data for the past 8 months: Month Demand for Soft Shag Carpet (1,000 yd.) 1 10 2 9 3 8 4 9 5 10 6 12 7 14 8 11 a. Compute a 3-month moving average forecast for months 4 through 9. b. Compute a weighted 3-month moving average forecast for months 4 through 9. Assign weights of 0.55, 0.35, and 0.10 to the months in......

Words: 1629 - Pages: 7

... MAT 540 MAT540 Complete Homework Assignment Click below link for Answer or visit www.workbank247.com http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $55,000.The variable cost of recapping a tire is $8.The company charges $21 to recap a tire. a. For an annual volume of 10,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $30,000, and its variable cost per pound of fertilizer is $0.16. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume? 4. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2? 5. Annie McCoy, 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...

Words: 7099 - Pages: 29

... MAT 540 MAT540 Complete Homework Assignment Click below link for Answer or visit www.workbank247.com http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 http://workbank247.com/q/mat540-week-1-to-week-11-homework-latest-2015/10483 MAT540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $55,000.The variable cost of recapping a tire is $8.The company charges $21 to recap a tire. a. For an annual volume of 10,000 tires, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $30,000, and its variable cost per pound of fertilizer is $0.16. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in Problem 2 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume? 4. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 2? 5. Annie McCoy, 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...

Words: 7099 - Pages: 29

...MAT 540 Complete Course MAT540 Complete Course Click Link for the Answer: http://workbank247.com/q/mat-540-complete-course-mat540-complete-course/22085 http://workbank247.com/q/mat-540-complete-course-mat540-complete-course/22085 MAT 540 Week 1 Discussion "Class Introductions" Please respond to the following: * Please introduce yourself, including your educational and career goals, as well as some personal information about yourself. In your introduction, please draw from your own experience (or use a search engine) to give an example of how probability is used in your chosen profession. If you get your information from an online or other resource, be sure to cite the source of the information. MAT 540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $65,000. The variable cost of recapping a tire is $7.5. The company charges$25 to recap a tire. a. For an annual volume of 15, 000 tire, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.20. Evergreen sells the fertilizer for $0.45 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in problem 2 changes the price of its fertilizer from $0.45 per pound to $0.55 per pound,......

Words: 15000 - Pages: 60

...MAT 540 Complete Course MAT540 Complete Course Click Link for the Answer: http://workbank247.com/q/mat-540-complete-course-mat540-complete-course/22085 http://workbank247.com/q/mat-540-complete-course-mat540-complete-course/22085 MAT 540 Week 1 Discussion "Class Introductions" Please respond to the following: * Please introduce yourself, including your educational and career goals, as well as some personal information about yourself. In your introduction, please draw from your own experience (or use a search engine) to give an example of how probability is used in your chosen profession. If you get your information from an online or other resource, be sure to cite the source of the information. MAT 540 Week 1 Homework Chapter 1 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $65,000. The variable cost of recapping a tire is $7.5. The company charges$25 to recap a tire. a. For an annual volume of 15, 000 tire, determine the total cost, total revenue, and profit. b. Determine the annual break-even volume for the Retread Tire Company operation. 2. Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.20. Evergreen sells the fertilizer for $0.45 per pound. Determine the monthly break-even volume for the company. 3. If Evergreen Fertilizer Company in problem 2 changes the price of its fertilizer from $0.45 per pound to $0.55 per pound,......

Words: 15000 - Pages: 60