(H) linear programming formulation Let x- number of units i shipped to client j, using the indices from the given table. (It may be necessary to combine plants or distributors in a single node in order to solve this problem. Use index number 5 for this type of node. Enter "DNE" in any unused answer blanks.) Max 32r1 +34x,2 + 32r13 + 40x14 + 34x21 + 30x + 28x + 38x24 s.t. Orders from Clifton Springs X11 +x12 +x13+x14 < 5000 Orders from Danville X21 +X22 +x23 + X24S3000 Orders from/for Dummy Node X3I +x32 + x33 +x34S 4000 Orders for D, Xu +x21 S 2000 Orders for D, X12 +X22S 5000 Orders for D, X13 + X23 < 3000 Orders for D. X14 +x24S 2000 Xy 2 0 for all 1, j.
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Please help with constraints. Question provided below with data. Not sure why the dummy constraint is incorrect.
Given data is
As the capacity was less than demand a dummy row is added.
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- Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?Becky Shelton, a teacher at kemp middle school is in charge of ordering the T-shirts to be sold for the school's annual fund-raising project the t-shirts are printed with a special kemp school logo. In some years the supply of T-shirts has been insufficient to satisfy the number of sales orders. In other years, T-shirts have been left over. excess T-shirts are normally donated to some charitable organization. T-shirts cost the school $7 each and are normally sold for $14 each. Ms Shelton has decided to order 790 shirts. Required 1) if the school receives actual sales orders for 715 shirts, what amount of profit will the school earn?what is the cost of waste due to excess inventory? 2) If the school receives actual sales orders for 830 shits, what amount of profit will the school earn? What amount of opportunity cost will the school incur? a) Profit $1,050 waste due to excess inventory b) Profit opportunity costgohotels.ph, a property of Robinson's Land, began test marketing its value hotel in May 2010 at its building along Edsa beside Robinson's Pioneer Street. It has about 200 rooms in the Edsa site but has chosen to have 60 to 100 rooms in each of their subsequent sites in the provincial areas. Its pricing is unique because it utilizes the revenue management model of the airline industry where prices would Ivary depending on demand, in this case, occupancy numbers. Thus, a 16 to 22 square meter room can command a price as low as P388 plus value added tax (VAT), or as high as P3,000 plus VAT, averaging about P1,550 plus VAT per room per night booked via internet. While the prices are low, the room boasts of a comfortable bed with two types of pillows (hypoallergenic and chiropractic), a clean private bathroom with rain shower, free wifi, LCD TV, convenient location with safe surroundings secured by CCTV and safety cabinet. On its first month of its test market and despite using mostly…
- The village board of Park City, Utah, arranges for the clearing of all snow in city streets. Weekly snowfall during the winter is normally distributed with a mean of 10 inches and a standard deviation of 4 inches. The board is considering a long term contract with a snow removal company. The long- term contract costs $1000 per truck per week. Thus, if the board signs a long-term contract for 12 inches, they pay $12,000 per week whether the trucks are used or not. Each truck is capable of clearing 1 inch of snow per week. If snowfall in a week exceeds the quantity that can be handled by the trucks included in the long term lease, the board must make emergency arrangements at a cost of $2,500 for each additional truck brought in. For how many trucks should the board sign a long term contract?ABC Corporation has determined that his cologne is selling at 300 per bottle with a fixed cost of Php 2,000 and a variable cost of Php100 per unit., EFG has decided to order 40 bottles of the cologne. Will you decide to produce the products based on the number of orders or will you decline the order? Why? Given the situation of ABC Corporation, suppose EFG has decided to order 5 bottles only, would you decide to produce the products? Why? What is the break even point of ABC Corporation before they can decide to produce the units? *Acadia Logistics anticipates that it will need more distribution center space to accommodate what it believes will be a significant increase in demand for its final-mile services. Acadia could either lease public warehouse space to cover all levels of demand or construct its own distribution center to meet a specified level of demand, and then use public warehousing to cover the rest. The yearly cost of building and operating its own facility, including the amortized cost of construction, is $15.00 per square foot. The yearly cost of leasing public warehouse space is $24.50 per square foot. E Click the icon to view the expected demand requirements. a. The expected value of leasing public warehouse space as required by demand is $ 10290000 . (Enter your response as a whole number.) b. The expected value of building a 230,000-square-foot distribution center and leasing public warehouse space as required if demand exceeds the need for 230,000 square feet of space is $ (Enter your response…
- Acadia Logistics anticipates that it will need more distribution center space to accommodate what it believes will be a significant increase in demand for its final-mile services. Acadia could either lease public warehouse space to cover all levels of demand or construct its own distribution center to meet a specified level of demand, and then use public warehousing to cover the rest. The yearly cost of building and operating its own facility, including the amortized cost of construction, is $15.00 per square foot. The yearly cost of leasing public warehouse space is $24.50 per square foot. E Click the icon to view the expected demand requirements. a. The expected value of leasing public warehouse space as required by demand is S (Enter your response as a whole number.) More Info Requirements (in sq. ft) Probability 230,000 430,000 630,000 830,000 0.35 0.4 0.2 0.05 Print Done) O'Donnell & Joyce purchases components from three suppliers. Components purchased from Supplier A are priced at €7 each and used at the rate of 18,000 units per month. Components purchased from Supplier B are priced at €5 each and are used at the rate of 4,500 units per month. Components purchased from Supplier C are priced at €9 each and used at the rate of 1000 units per month. Currently, O'Donnell & Joyce purchases a separate truckload from each supplier. As part of its JIT drive, O'Donnell & Joyce has decided to aggregate purchases from the three suppliers. The trucking company charges a fixed cost of €550 for the truck with an additional charge of €120 for each stop. Thus, if O'Donnell & Joyce asks for a pickup from only one supplier, it charges €670; from two suppliers, it charges €790; and from three suppliers, it charges €910. What replenishment strategy would you suggest for O'Donnell & Joyce to minimize annual costs? Assume an annual holding cost of 25…James Calender is the buyer for "Joe's Radio Hut", a local electronics chain that has developed a loyal customer base with its quality service and competitive pricing. Due to the short selling lives of electronics products, James has only a single opportunity to order the new GO multifunction photo printer and hair dryer. The item sells for $139.24 and the per unit cost is $128.93. Any units remaining at the end of the season must be disposed of at a cost of $18.04. Demand for the item is believed to be normally distributed with a mean 605 and standard deviation 145.2. What is the cost of shortage? (specify answer to 2 decimal places)What is the critical fractile? (specify answer to 3 decimal places)What is the cost minimizing order quantity? (specify answer as a whole number)
- CASE: The manager of a community pharmacy is reordering his stock of generic atenolol when he notes in the catalogue that a new manufacturer is also now producing and packaging atenolol at what appear to be competitive prices. At present he orders, on average, three 250-count bottles per month at Php 120 per bottle from Company A. However, Company B is offering one bottle of 1,000-count atenolol for Php 175. Detail the type of analysis the pharmacist might conduct to determine which option would be least costly. Assuming the pharmacy dispenses 10,000 atenolol pills over the course of one year, from which company should the pharmacist order if financial considerations are the only consideration? What chronic ailment is atenolol used for? What is the aim of this case?Chris Sandvig Irigation, Inc., has summarized the price list from four potential suppliers of an underground control valve. See the table below. Annual usage is 700 valves; order cost is $7 per order, and annual inventory holding costs are $2.15 per unit. Vendor A Quantity 1-14 Vendor B Price $34.75 Vendor C Price $34.50 Vendor D Price $34.25 33.00 31.00 Quantity Quantity 1-149 Price Quantity $35.00 1-24 1-49 50-149 150-299 15-24 34.75 25-99 100-199 34.00 33.75 32.50 150-299 25-99 100-199 200-399 33.55 32.35 32.80 300+ 31.60 30.50 200-399 300+ 31.10 31.15 400+ 400+ 30.75 Which vendor should be selected and what order quantity is best if Sandvig Irrigation wants to minimize total cost? Chris Sandvig Irigation should order units at a time from Vendor B(enter your response as a whole number).Community Hospital orders latex sanitary gloves from a hospital supply firm. The hospital expects to use 40,000 pairs of gloves per year. The cost to order and to have the gloves delivered is $180. The annual carrying cost is $0.18 per pair of gloves. The hospital supply firm offers the following quantity discount pricing schedule: Quantity Price 0–9,999 $0.34 10,000–19,999 0.32 20,000–29,999 0.30 30,000–39,999 0.28 40,000–49,999 0.26 50,000+ 0.24 Determine the optimal order size for the hospital.