Question 6GNPC has three refineries that produce gasoline, which is then distributedto four large storage facilities. The total quantities (1000 barrels)produced by each refinery and the total requirements (1000 barrels) foreach storage facilities, as well as the associated distribution costs areshown as follows.RefineryTemaTakoradiSaltpondStorageRequirementAccra90555010To (Cost, in GHS 100s)Kumasi Bawku8085454060359010Aflao70758520Due to recent challenges with storage facilities in Kumasi, the warehousecan only operate at 50% of its current storage capacity.a) Based on the information above, develop a network graph of thisproblem showing all costs and decision variables. Determine theinitial feasible solution using Northwest Corner Rule and the totalcost under this method.2b) determine the initial feasible solution using the Minimum Cell Costand the total cost under this Method. Compare with the results in(a) and comment on the results based on the two approaches3RefineryAvailable252015c) Due to the bad nature of the transportation channels, distribution isprohibited from Takoradi to Bawku. Formulate the mathematicalmodel to incorporate this in the problem56878**

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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QUESTION 3a. Delightful Coffee Limited (DCLL) purchases coffee from Hopeful Harvest Plantations (HHP)in Santa Cruz, Trinidad. HHP sells coffee at four (4) different prices, depending on the size ofthe order, as shown in Table 3 (below):Table 3. Hopeful Harvest Plantations - Coffee pricesWeight of Coffee Price ($USD)Less than 45 kilograms $18 per kilogram45 to 449 kilograms $17 per kilogram,450 to 1000 kilograms $16 per kilogramMore than 1000 kilograms $15 per kilogramThe cost to place an order at DCLL is $50. Annual demand is 4,500 units. The holding (orcarrying) cost is 20 percent of the material price. (i) Calculate the EOQ at each Price Break.
QUESTION 3a. Delightful Coffee Limited (DCLL) purchases coffee from Hopeful Harvest Plantations (HHP)in Santa Cruz, Trinidad. HHP sells coffee at four (4) different prices, depending on the size ofthe order, as shown in Table 3 (below):Table 3. Hopeful Harvest Plantations - Coffee pricesWeight of Coffee Price ($USD)Less than 45 kilograms $18 per kilogram45 to 449 kilograms $17 per kilogram,450 to 1000 kilograms $16 per kilogramMore than 1000 kilograms $15 per kilogramThe cost to place an order at DCLL is $50. Annual demand is 4,500 units. The holding (orcarrying) cost is 20 percent of the material price. (i) Calculate the EOQ at each Price Break and Indicate which EOQs are feasible and those which are not feasible. Please answer the above question
QUESTION 3a. Delightful Coffee Limited (DCLL) purchases coffee from Hopeful Harvest Plantations (HHP)in Santa Cruz, Trinidad. HHP sells coffee at four (4) different prices, depending on the size ofthe order, as shown in Table 3 (below):Table 3. Hopeful Harvest Plantations - Coffee pricesWeight of Coffee Price ($USD)Less than 45 kilograms $18 per kilogram45 to 449 kilograms $17 per kilogram,450 to 1000 kilograms $16 per kilogramMore than 1000 kilograms $15 per kilogramThe cost to place an order at DCLL is $50. Annual demand is 4,500 units. The holding (orcarrying) cost is 20 percent of the material price. (iii) What is the economic order quantity that DCLL should buy each time? Please answer the above question
Question 2 Target Ltd produces a single product. The company has employed the services of a statistical firm to develop cost functions that will assist in arriving at the optimal price that will enable the company to maximize profits. During November 2018, you were provided with the following demand and costs functions for the product: Demand function: P=60+2Q, where P is the unit selling price and Q is quantity of units in thousands. Cost function: TC= 3Q2 - 2Q + 200, where TC is total costs in thousands of dollars. Required: Find the output at which profit is maximized. Find the optimal price that maximizes profit. Determine the optimal sales revenue Calculate the maximum profit Briefly outline three (3) factors to be considered when settingprices for the company’s products.
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7. Question content area left Part 1 Leah Johnson, director of Urgent Care of Brookline, wants to increase capacity to provide low-cost flu shots but must decide whether to do so by hiring another full-time nurse or by using part-time nurses. The table below shows the expected costs of the two options for three possible demand levels: States of Nature (demand) Alternatives Low Medium High Hire full−time $300 $480 $680 Hire part−time $0 $340 $1,200 Probabilities 0.20 0.55 0.25 Part 2 a) The alternative with the least expected cost is ▼ a. Hire full-time b. Hire part-time The expected cost of this alternative is $ ______ (enter your answer as a whole number). .
QUESTION 1 Which of the following statements regarding foreast sharing game is INCORRECT? Retailer only faces underage risk. Supplier faces both underage and overage risks. Suppliers tend to produce less than the supply chain optimal quantity. The retailer has to purchase at least the quantity it reports to the supplier. QUESTION 2 Assume that the firm can source from 2 faraway suppliers (each has Lead time = 4 months, capacity=60 k) and 2 Closeby suppliers (each Lead time =0 month, capacity=40k). The sales season starts in May. Which of the following statements regarding sourcing is INCORRECT? The production change should be only applied to the Closeby supplier so that the firm can benefit from the change in time. The production at the Faraway supplier should start in January and the production at Close-by supplier should start in May. The firm should source from a combination of one faraway supplier and one close-by…
D&R A3 3 - 2 Question 3. FRA Pricing, Valuation, Payoff, and Hedging Today is June 1. Sustainable Corporation has an obligation of $25 million coming due on August 1. The company is planning to borrow this amount on August 1 to fulfill its obligation, and plans to pay back the loan on December 1. The company’s borrowing rate is LIBOR + 125 basis points. The company’s bank presents it with the following LIBOR term structure: # days LIBOR 30 0.90% 60 1.00% 90 1.05% 120 1.10% 150 1.15% 180 1.18% 210 1.20% 240 1.21% For the calculation of interest, the bank assumes 30 days in a month, and 360 days in a year. Ms. Devro, the VP Finance of Sustainable, is worried that LIBOR will increase between June and August, thus increasing the company’s borrowing cost. She advises that the company enters into a forward rate agreement (FRA) with its bank to hedge its interest rate risk. She has asked you, the treasurer of the company, to…
QUESTION 2 Mogomotsi, a 27 year old graduate from Kopong, runs a small stock farm from a family ownedfarm at Metsimotlhabe. He obtains supplies (supplementary feed, medicines, tools) from localagrishops, hardwares. The government has recently secured markets in the Middle East for smallstock and rolled out programs to encourage more citizens to enter small stock farming business.Demand for weaners (sheep and goats), feed, medicines and all other implements has increased.Stud breeders and large-scale farmers have ramped up production to explore this opportunity.Traditionally, livestock was sold to Botswana Meat Commission, the government has liberalizedthis market with all chain stores setting up to take advantage to set butchery section to sell meat. a. In light of the above, conduct an industry analysis using Porter’s Five Forces Model.
Question 5: Inventory Management 2) A company plans to have their order strategy evaluated. The current demand is normal distributed with ~N(6267, 385) every four weeks, the cost for each order is of AUD 15 per order, the annual holding cost factor is 10% and the price per unit is AUD 21. Assume that the year has 52 weeks. a. Currently, they order 110 items with each order. Argue if this order quantity is a good choice or if it should be changed? b. Assume a lead time of 1 week and Service Level of 95%. What would you recommend as a safety stock? c. If you change the lead time to 6 days, does the safety stock increase or decrease? Explain your answer.
Q1. Hotel manager Mr. Smith and his resourceful assistant, John, run a 26-room hotel in a little town. A combination of Mr. Smith's friendly attitude and the absence of a respectable hotel in the nearby vicinity imply that Mr. Smith enjoys sufficient demand at his low fare of $159 per night. John notes that some customers will walk into the hotel requesting a room for that evening and they are willing to pay a high fare of $325 per night. John knows this demand is variable. (In reality, this demand is U(4,9)) He suggests some rooms should be kept unsold to the low-fare customers so that they can serve the high-fare customers. a) To maximize profits with John's plan, what is the booking limit that should be set for low fare customers? b) Mr Smith does not like the idea of John and says “we will sell to everyone who reserves in advance and ignore the walk-in demand." If Mr Smith has his way, what will be the hotel's expected revenue? C) John replies, "If you are going to forgo the…

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