نن فم a. - Identify and describe the decision variables for this LP problem. -Mathematically state and explain the Objective Function for this LP problem. state and explain all constraints for this LP problem. -Apply a graphical mothe b. c. 5 POINT-Mathematically d.
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- 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?A Company produces a component for use in the aerospace industry. The component consists of three parts (A, B and C), which are purchased externally and cost 50c, 60c and 70c per piece respectively. Parts A and B are assembled first on assembly line 1, which produces 150 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are six drilling machines in total, but only three are currently operational. Each drilling machine drills part C at a rate of 30 parts per hour. The final assembly line has a production capacity of 100 components per hour. At present, components are produced eight hours a day, five days a week. If the need arises, management can add a second shift of eight hours for the assembly lines only. The cost of assembly labour is 40c per assembly operation for each assembly line; the cost of drilling labour is 20c per part. For drilling, the cost of electricity is 10c per part. The overhead cost…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…
- 5. Meg Jones, the CEO of Ajax Computer Company, and Brad Smith, its Director of Operations, had been discussing how to increase the firm’s production of the company’s flagship XR58. The XR58 was particularly important because it sold 12,500 of them in the most recent year for $950, at a gross margin of 55%. After a lot of discussion, they decided to pursue an incentive system designed to increase production by 12% in the next year. After Brad discussed this possible incentive with the production team, the team determined that it could increase production by this amount without adding any more people or equipment. They believed they could accomplish this improvement primarily through process redesign. To incent them to do the hard work of process improvement, Brad told the team that it would receive 25% of the increased profits if it met the new production goal. For this team of 20 people, this would mean an additional compensation of _________ for each team member, on average, for…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…Due to the COVID‐19 pandemic, Julio’s Pizzeria, traditionally a high‐class, eat‐in only Italian restaurant in Malibu, has had to pivot in order to stay in business. One of their most sought‐after menu items is their sausage, ham, and pepperoni pizza. To accommodate the anticipated increase in carry‐out and delivery orders of this famous entrée, the restaurant manager, Kerry, has decided to create a small assembly line to speed up production of the pizzas. All tasks required to produce the pizza have been identified along with the time it takes to perform the task and the immediate predecessors for each task. if Desired Cycle time = Total time per hour / Demand per hour Desired Cycle time = 60 (minutes/hour) * 60 (seconds/minute) / 40 Desired Cycle time = 90 seconds and task are assigned to each work station below: Workstation 1: A, B Workstation 2: C, D, E, F, G Workstation 3: H, I then What is the efficiency of the most balanced line?
- Due to the COVID‐19 pandemic, Julio’s Pizzeria, traditionally a high‐class, eat‐in only Italian restaurant in Malibu, has had to pivot in order to stay in business. One of their most sought‐after menu items is their sausage, ham, and pepperoni pizza. To accommodate the anticipated increase in carry‐out and delivery orders of this famous entrée, the restaurant manager, Kerry, has decided to create a small assembly line to speed up production of the pizzas. All tasks required to produce the pizza have been identified along with the time it takes to perform the task and the immediate predecessors for each task. if Desired Cycle time = 90 seconds What is the theoretical minimum number of stations?SIMPLEX METHOD: Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 > 50 2X1 + 3X2 + X3 > 100 Based on the initial tableau, answer questions no. 1-5 What is the value of X3 on the Cj row? What is the value of S2 on the right-hand side/quantity column? What is the value of Zj on the right-hand side/quantity column? What is the value of X3 on the Cj – Zj row? What is the entering variable?How does the requirement that the number of units of model LX produced be at least 60% of the total production affect profits?
- Quitmeyer Elec-tronics Incorporated manufactures the following six microcomputer peripheral devices: internal mo-dems, external modems, graphics circuit boards, CD drives, hard disk drives, and memory expansionboards. Each of these technical products requirestime, in minutes, on three types of electronic testingdevices, as shown in the table on this page.The first two test devices are available 120hours per week. The third (device 3) requires morepreventive maintenance and may be used only 100 hours each week. The market for all six computer components is vast, and Quitmeyer Electronics be-lieves that it can sell as many units of each product as it can manufacture. The table that follows summa-rizes the revenue and material cost for each product: DEVICE REVENUE PERUNIT SOLD ($) MATERIAL COSTPER UNIT ($)Internal modem 200 35External modem 120 25Graphics circuit board 180 40CD drive 130 45Hard disk drive 430 170Memory expansionboard 260 60 In addition, variable labor costs are $15…Required information [The following information applies to the questions displayed below.] Consider the following narrative describing the process of filling a customer's order at a Starbucks branch: Identify the start and end events and the activities in the following narrative, and then draw the business process model using BPMN: the Starbucks customer entered the drive-through lane and stopped to review the menu. He then ordered a Venti coffee of the day and a blueberry muffin from the barista. The barista recorded the order in the cash register. While the customer drove to the window, the barista filled a Venti cup with coffee, put a lid on it, and retrieved the muffin from the pastry case and placed it in a bag. The barista handed the bag with the muffin and the hot coffee to the customer. The customer has an option to pay with cash, credit card, or Starbucks gift card. The customer paid with a gift card. The barista recorded the payment and returned the card along with the…Sawing 20 min/unit Sanding 20 min/unit Drilling 32 min/unit Welding 30 min/unit Assembly 93 min/unit Assembly 93 min/unit Assembly 93 min/unit A production process is shown in the figure above. The drilling operation occurs separately from, and simultaneously with the sawing and sanding operations. Welding starts when both drilling and sanding operations have been completed. After welding, a product needs to go through only one of the three assembly operations (the operations are in parallel, where parallel lines perform the exact same operation). Considering the process times at stations, what is the process time of the system (in min/unit)?