A refinery manufactures two grades of jet fuel, Fl and F2, by blending four types of gasoline, A. B, C, and D. Fuel Fl uses gasolines A. B. C, and D in the ratio 1:1:2:4, and fucl F2 uses the ratio 2:2:1:3. The supply limits for A, B.C, and D are 1000, 1200, 900, and 1500 bbl/day, respectively. The costs per bbl for gasolines A, B, C, and D are $120, $90, $100, and $150, respectively. Fucls Fl and F2 sell for $200 and $250 per bbl, respectively. The minimum demand for F1 and F2 is 200 and 400 bbl/day, respectively. Develop an LP model to determine the optimal production mix for F1 and F2
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A refinery manufactures two grades of jet fuel, Fl and F2, by blending four types of gasoline, A. B, C, and D. Fuel Fl uses gasolines A. B. C, and D in the ratio 1:1:2:4, and fucl F2 uses the ratio 2:2:1:3. The supply limits for A, B.C, and D are 1000, 1200, 900, and 1500 bbl/day, respectively. The costs per bbl for gasolines A, B, C, and D are $120, $90, $100, and $150, respectively. Fucls Fl and F2 sell for $200 and $250 per bbl, respectively. The minimum demand for F1 and F2 is 200 and 400 bbl/day, respectively. Develop an LP model to determine the optimal production mix for F1 and F2,
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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. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?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?The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
- She must travel to Kenya to check on quality and transportation. The trip will cost $2,500. The cost of the handbag is $10 and shipping to the United States can occur through the postal system for $2 per handbag or through a freight company which will ship a container that can hold up to 1,000 handbags at a cost of $1,000. The freight company charges $1,000 even if less than 1,000 handbags are shipped. Leslie will sell the handbags to retailers for $20. Assume there are no other costs and benefits. what is the output level that both shipping methods yield same profit? Ho) 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…LPM Corp. produces and sells two types of frozen burgers, Turkey Burgers and Veggie Burgers. In the most recent month, the firm sold 12,000 Turkey Burgers and 8,000 Veggie Burgers. Turkey Burgers sold for $14.00 per box and variable costs were $7.40 per box. The Veggie Burgers sold for $16.00 per box and variable costs were $8.25 per box. The fixed expenses of the entire company were $41,160. If the sales mix were to shift toward the Turkey Burgers product line with total sales volume remaining constant at 20,000, the overall break-even point for the entire company:
- 1. Superior Wire, Inc. produces and sells special types of wire used in a variety of telecommunication applications. The firm's initial growth came from sales of a new wire that was used by cellular telephone service companies when setting up transmission stations. However, growth in that market has slowed. Moreover, at present, most of the other products offered by the firm are similar to those available from a variety of other suppliers. Angelina Stowe, the marketing manager for the company, recently scheduled a meeting with the company president to discuss problems of falling profits. Stowe expressed concern that the company did not have a specific person responsible for identifying new products. The president pointed out that few other firms in their industry had such a position and generally argued that new product thinking was the responsibility of everyone in the firm. After further discussion, the president agreed to let Stowe send out a memo to all company employees…The Frist Corporation has the followinginternal controls related to inventory:1. Only authorized inventory warehousing personnel are allowed in inventory storageareas.2. All inventory products are stored in warehousing areas that are segregated fromother storage areas used to house equipment and supplies.3. All inventory held on consignment at Frist Corporation is stored in a separatearea of the warehouse.4. The inventory purchasing system only allows purchases from pre-approved vendors.5. The perpetual inventory system tracks the average number of days each inventoryproduct number has been in the warehouse.6. Microchips are embedded in each product and when inventory items are removedfrom the warehouse to shipping, radio-frequencies signal a deduction of inventoryto the perpetual inventory system.7. On a weekly basis, inventory accounting personnel take samples of inventoryproducts selected from the perpetual inventory system and verify that the inventoryis on-hand in the warehouse…Sarasota Go Karts (SGK) is a firm that manufactures racing go-karts (fictitious) in Sarasota Florida. They produce a low-volume, premium product used by those who race go-karts. In total, they produce and sell around 300 go-karts per year. They offer five different models, although some further customization can be added upon request. They sell their products directly to the consumer, who can visit their small showroom at their manufacturing plant if they are in the area. However, the majority of go-kart orders are placed via their website or the phone, and are then shipped to the customer. Over the years, SGK has ran into a number of problems. First is their inventory levels. Their finished goods inventory is substantial, at any one time they have between 250-300 finished go-karts on hand. This is because they want to have an inventory of all five go-kart models on hand at any point in time, and they produce each model in a batch of 50 units at a time. They also have substantial work…
- The Fish House (TFH) in Norfolk, Virginia, sells fresh fish and seafood. TFH receives daily shipments of farm-raised trout from a nearby supplier. Each trout costs $2.45 and is sold for $3.95. To maintain its reputation for freshness, at the end of the day TFH sells any leftover trout to a local pet food manufacturer for $1.25 each. The owner of TFH wants to determine how many trout to order each day. Historically, the daily demand for trout is: Demand 10 11 12 13 14 15 16 17 18 19 20 Probability 0.02 0.06 0.09 0.11 0.13 0.15 0.18 0.11 0.07 0.05 0.03 a. Construct a payoff matrix for this problem. b. How much should the owner of TFH be willing to pay to obtain a demand forecast that is 100% accurate? give a clear explanation for (b)Radiant wants to hire Cargo planes for transporting their goods. They contacted VIP Transportation Company to hire Cargo planes. VIP informed that they can provide two types of Cargo Planes. In addition, they provided the following cost related information about the two types Cargo planes- WT88 and BH54: Personnel Cost Fuel Cost Maintenance Cost WT88 2000 1000 2000 BH54 2500 1500 1000 Radiant has $200,000 to spend in personnel cost, $160,000 in fuel cost, and $80,000 in maintenance cost. Moreover, they have to hire at least two of each type of planes. If WT88 can carry 55 tons of goods and BH54 can carry 85 tons of goods, then find out the following using Linear Programming: What is the maximum amount Radiant can carry given their budget constraint? Can you solve using solver ? (I did this but I got a wrong answer) Data Personnel Cost Fuel Cost Maintenance Cost Tons WT88 2000 1000 2000 55…3.4-15* A cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized below: Weight Саpacity (Tons) Space Сapacity (Cubic Feet) Compartment Front 7,000 9,000 5,000 12 Center 18 Back 10 Furthermore, the weight of the cargo in the respective compart- ments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane.