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- Atlanta Manufacturing Company produces products W, X, Y, and Z through a joint process. The joint costs amount to $250,000. Product Units Produced Sales Value at Split-Off Additional Costs of Processing Sales Value After Processing W 750 $10,000 $2,500 $15,000 X 1,500 $30,000 $3,000 $35,000 Y 1,000 $20,000 $4,000 $25,000 Z 1,500 $40,000 $6,000 $45,000 If W is processed further, profits of W will: 1) Increase by $2,500 2) Increase by $12,500 3) Decrease by $23,000 4) Increase by $5,000Two models of controlling boards. The 1" type has high specification for work from the 2nd type. The better type has a profit of 50S and the other 40$ per board. The 1 type of boards requiring five as much as the 2nd needs for production and the total production are 2000 boards, the first model requires 400 min to be complete and 700 min to the second model. Write this expression with LP equations to have the maximum profit with production of each model.Digital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time available and 1,080 minutes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI occasionally…
- The following table provides a random sample of the unit values and annual demands of eight SKUs. SKU Code Unit Value Demand (units) A104 $0.02 D205 $2.60 X104 $4.80 U404 $2.50 L205 $0.36 S104 $0.84 X205 $4.35 L104 $0.23 4,500 30 25 2,500 1,040 380 70 250 Southern Markets Inc. is considering the use of ABC analysis to focus on the most critical SKUs in its inventory. a. Based on the percentage of dollar usage, which class should L205 belong to? Class b. Based on the percentage of dollar usage, which class should L104 belong to? ClassThe recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher. How many cups of yogurt should be put out n the pitcher to maintain the ratio of 1/3?Link's Lumber creates pressure-treated utility poles from pine logs bought from several surrounding pine plantations. At the Link's Lumber operation, a batch of 100 pine logs yields 85 utility poles with 5 labor-hours required to process the entire batch. Link's Lumber is owned by Artemis Link, whose brother Devious Link is plan- ning to marry Betty Davis, owner of Northlands Pine Plantation. Artemis expects that his future sister-in-law will sell him pine logs for the same price he is paying to purchase them from other growers right now. The difference in Northlands Pine Plantation logs, however, is that they are considerably higher-quality wood than the logs he purchases from his current suppliers. If Betty agrees to sell him Northlands Pine Plantation pine logs, each batch of 100 logs can be expected to yield 100 util- ity poles, although it will take an additional 4 labor-hours per batch to process the higher-quality wood. a. What is the current labor productivity at Link's Lumber?…
- . Sarah’s Organic Soap Company makes four kinds of organic liquid soap: “regular,”“lavender,” “citrus,” and “tea tree.” Demands for the four scents are 150, 120, 75, and50 kgs per hour, respectively. Sarah’s production process can produce any soap at therate of 450 kgs per hour, but 1.5 hours are needed to switch between scents. Duringthose switchover times, the process doesn’t produce any soap. Sarah wants to choosea production schedule that (i) cycles repeatedly through the four scents, (ii) meets therequired demand, and (iii) minimizes the amount of inventory held.How many kgs of “regular” should Sarah produce before switching over to another scent?A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows: Process 1 Process 2 Production Rate 35 parts per hour 15 parts per hour Daily production time 4 hours per day 7 hours per day Percent of Parts Rejected 20% 9% Assume that the daily demand for hubs allows all defect-free items to be sold. Additionally, defective hubs cannot be sold and their material cannot be recovered anymore. Find the process that minimizes the total cost per piece if each part is made from $4 worth of material. Both processes are fully automated, and the variable overhead cost is charges at $40 per hour.The Goodparts Company produces a component that is subsequently used in the aerospace industry. The component consists of three parts (A, B, and C) that are purchased from outside and cost 35, 30, and 10 cents per piece, respectively. Parts A and B are assembled first on assembly line 1, which produces 185 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are, in total, six drilling machines, but at present only three of them are operational. Each drilling machine drills part C at a rate of 80 parts per hour. In the final assembly, the output from assembly line 1 is assembled with the drilled part C. The final assembly line produces at a rate of 205 components per hour. At present, components are produced eight hours a day and five days a week. Management believes that if the need arises, it can add a second shift of eight hours for the assembly lines. The cost of assembly labor is 30 cents per part for…
- Tica (Pty) Limited manufactures and sells combined fax and telephone answering machines. In order to tender for a specific contract, the technical team of the company has developed a new model called FINO. To date, two units of FINO have been manufactured and are being used as demonstration models. The following information is available: Direct labour hours taken to manufacture the first two units: Hours First unit 60 Second unit 48 The following average direct variable costs relate to the manufacture of the first two units of FINO: R/unit Material 620 Labour 440Variable overheads 324 1384 · Since the first two units were manufactured, material costs have increased by 10% and labour costs by 5%. · Variable overheads – variable per…Suppose a final assembly is produced by assembling two components. THE The first component, A, is produced internally and goes through three process steps, which are stamping, forging and machining, with scrap estimates of 10%, 15% and 25%, respectively. For every three produced units of component A, two are used in the final assembly and one is separate to meet spare parts needs. The second component, B, which is used exclusively in final assembly, is purchased from a supplier external and inspected on arrival; 2% do not pass inspection. A unit of the component purchased is required for each final assembly. The final assembly process produces 5% of scraps. Spare parts demands for component A and final Su assembly match to 1,000 and 5,000 units, respectively. How many input units are needed for produce component A, and how many units of component B should the firm buy?Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 Demand 14,000 13,000 18,000 We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule. Let xij = the number of panels shipped from source i to destination j y₁ = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5) The constraint x21 + x22+x23 <= 13,000*y3 represents which of the…