A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and shipping costs per case from each port to each customer are as follows: Customers Port Atlanta Dallas Columbus Boston Port Supply Philadelphia 2 6 6 2 5,000 New Orleans 1 2 5 7 3,000 Demand 1,400 3,200 2,000 1,400 Develop the objective function and the constraints.
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- A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and shipping costs per case from each port to each customer are as follows:
Customers |
|||||
Port |
Atlanta |
Dallas |
Columbus |
Boston |
Port Supply |
Philadelphia |
2 |
6 |
6 |
2 |
5,000 |
New Orleans |
1 |
2 |
5 |
7 |
3,000 |
Demand |
1,400 |
3,200 |
2,000 |
1,400 |
|
- Develop the objective function and the constraints.
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- the gulf coast foundry is developing a long range strategic plan for buying scarp metal for its foundry oprations the foundry can buy scrap metal in unlimited quantities from two sources, Atlanta(A) and Birmingham (B), and it receives the scrap daily in railroad cars. the scrap is melted down, and lead lead and copper are extracted for use in the foundry processes each railroad car of scrap from source A yields 1 ton of copper and 1 ton of lead and cost $10,000. each railroad car of scrap from source B yields 1 ton of copper and 2 tons of lead and costs $15,000, if the foundry needs at least 2 and a half tons of copper and at least 4 tons of lead per day for the foreseeable future, how many railroad cars of scrap should be ( purchased per day from source A and source B to minimize the long range scrap metal cost?Freight car loadings over an 18-week period at a busy port are as follows: Week Number Week Number Week Number 1 410 7 460 13 540 2 420 8 480 14 550 3 430 9 500 15 570 4 420 10 490 16 580 5 430 11 510 17 590 6 440 12 530 18 600 Click here for the Excel Data File a. Determine a linear trend line for expected freight car loadings. (Round your intermediate calculations and final answers to 2 decimal places.) b. Use the above trend equation to predict expected loadings for Weeks 20 & 21. (Round your final answers to 2 decimal places.) c. The manager intends to install new equipment when the volume exceeds 990 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level? (Use the rounded answers, as required, from any previous part of this problem. Do not round any other intermediate calculations. Round your final answer to 2 decimal places.)Adelie Enterprises is exploring a new service to provideweekly delivery of grocery items to homes in the greaterGreenwood area. The company’s customers place Web-basedorders and Adelie’s team assembles and delivers the orders inspecially designed cardboard boxes. Management, interestedin locating a supplier that can provide boxes cheaply and efficiently, has discovered that each potential supplier’s abil-ity to satisfy the company’s requirements is influenced by thelevel of demand. The following table provides Adelie’s ven-dor selection criteria, criterion weights, and rankings (1–10with 10 being the highest) under the assumption that low,moderate, or high demand is generated for their service. a. Which supplier should be selected if there is low demandfor Adelie’s new service? Which supplier should beselected under moderate demand assumptions? Underhigh demand assumptions?b. Which supplier is selected if Adelie evaluates eachalternative using a Maximin decision criterion…
- Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)Spring and Summer Fashions, a clothing producer, has generated a forecast for the next eight weeks. Demand is expected to be fairly steady, except for periods 3 and 4, which have higher demands. Period 1 2345678 Total Forecast 1,200 1,200 1,400 3,000 1,200 1,200 1,200 1,200 11,600 The company typically hires seasonal workers to handle the extra workload in periods 3 and 4. The cost for hiring and training a seasonal worker is $50 per worker, and the company plans to hire two additional workers and train them in period 3, for work in period 4, and then lay them off (no cost for layoff). Develop an aggregate plan that uses steady output from regular workers with added output from the two seasonal workers in period 4. The output rate for the seasonal workers is slightly less than that of regular workers, so their cost per unit is higher. The cost per unit for regular workers is $4 per unit, while cost per unit for the seasonal workers is $5 per unit. Backlog cost is $1 per unit per…Bus and subway ridership for the summer months in London England is believed to be tied heavily to the number of tourists visiting the city. During the past 12 years, the following data have been obtained: Year 1 2 3 4 5 6 7 8 9 10 11 12 # of tourist (millions) 7 2 6 4 14 15 16 12 14 20 15 7 Ridership(millions) 1.6 1.1 1.4 1.5 2.6 2.8 2.5 1.9 2.7 4.4 3.5 1.6 b) The least squares regression equation that shows the best relationship between ridership and the number of tourists is ^y=[_]+[_]X where ^y= Dependent Variable and x= Independent Variable
- Beagle Clothiers uses a weighted score for the evaluation and selection of its suppliers of trendy fashion garments. Each supplier is rated on a 10-point scale (10 = highest) for four different criteria: price, quality, delivery, and flexibility (to accommodate changes in quantity and timing). Because of the volatility of the business in which Beagle operates, flexibility is given twice the weight of each of the other three criteria, which are equally weighted (the sum of the four weights equals 1). The table shows the scores for three potential suppliers for the four performance criteria. 9 Rating Supplier A Supplier B Supplier C 8 5 Criteria 1. Price 2. Quality 3. Delivery 8 9 6 5 6 8 4. Flexibility 7 9 6 Based on the highest weighted score, which supplier should be selected? Supplier should be selected, with a total weighted score of. (Enter your response rounded to one decimal place.)CVS chain prefers to operate one outlet in a town that has four major market segments. The number of potential customers in each segment along with the coordinates are as follows: Market Segment Location Coordinates Number of Customers x y 1 8 13 2000 2 10 16 800 3 4 8 1600 4 12 4 3200 Find the best location using the Center of Gravity Excel templateAdelie Enterprises is exploring a new service to provide weekly delivery of grocery items to homes in the greater Greenwood area. The company’s customers place Web-based orders and Adelie’s team assembles and delivers the orders in specially designed cardboard boxes. Management, interested in locating a supplier that can provide boxes cheaply and efficiently, has discovered that each potential supplier’s ability to satisfy the company’s requirements is influenced by the level of demand. The following table provides Adelie’s vendor selection criteria, criterion weights, and rankings (1–10 with 10 being the highest) under the assumption that low, moderate,or high demand is generated for their service.a. Which supplier should be selected if there is low demand for Adelie’s new service? Which supplier should be selected under moderate demand assumptions? Under high demand assumptions?b. Which supplier is selected if Adelie evaluates each alternative using a Maximin decision criterion (see…
- East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity? X-coordinate Y-coordinate Volume Athens, Texas Beaumont, Texas 30 30 150 20 10 350 Carthage, Texas Denton, Texas 10 70 100 50 50 400 OX-28.125; Y = 31.25 OX= 32500; Y = 35000 %3D X 32.5; Y = 35 X- 27.5; Y 40 O center of gravity 28Spring and Summer Fashions, a clothing producer, has generated a forecast for the next eight weeks.Demand is expected to be fairly steady, except for periods 3 and 4, which have higher demands.Period 1 2 3 4 5 6 7 8 TotalForecast 1,200 1,200 1,400 3,000 1,200 1,200 1,200 1,200 11,600The company typically hires seasonal workers to handle the extra workload in periods 3 and 4. Thecost for hiring and training a seasonal worker is $50 per worker, and the company plans to hire twoadditional workers and train them in period 3, for work in period 4, and then lay them off (no cost forlayoff). Develop an aggregate plan that uses steady output from regular workers with added outputfrom the two seasonal workers in period 4. The output rate for the seasonal workers is slightly lessthan that of regular workers, so their cost per unit is higher. The cost per unit for regular workers is$4 per unit, while cost per unit for the seasonal workers is $5 per unit. Backlog cost is $1 per unitper period.10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 A 25 26 27 28 29 30 B с 1 2 Based on the city distance dataset as follows: 3 4 5 6 7 8 9 1 Boston 2 Chicago 3 Dallas 4 Denver 5 LA 6 Miami 7 Phoenix 8 Seattle D Phoenix Chicago Denver Dallas 0 983 1815 1991 3036 1539 2664 2612 Boston Chicago Dallas Total trip miles by the traveler: Index Cities Seattle LA E Total trip miles 983 0 1205 1050 2112 1390 1729 2052 F Distance 1815 1205 0 801 1425 1332 1027 2404 G Denver LA 1991 1050 801 0 1174 2100 836 1373 H 3036 2112 1425 1174 0 2757 398 1909 I Miami 1539 1390 1332 2100 2757 0 2359 3389 J K Phoenix Seattle 2664 1729 1027 836 398 2359 0 1482 A resident of Seattle is embarking on a road trip that takes her to Los Angeles, Phoenix, Chicago, Denver, Dallas, and finally go back to Seattle. How many miles will she travel on this trip? Hint: Use INDEX and MATCH to answer the above question. 2612 2052 2404 1373 1909 3389 1482 0 L M N