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- Metal frames for kick scooters are manufactured in two stages: Stamping and assembly. Each frame is made up of two pieces: one part A and one part B. Currently, the stamping machine rotates its production between 120 part A’s and 120 part B’s. In the stamping machine, setup times and production rates for each part are follows: Part A Part B Setup time (mins) 70 110 Production rate (parts per hour) 80 80 Completed parts move to assembly stage only when the entire batch is produced. At assembly, parts are assembled manually to form the finished products. The two parts and a number of small purchased components are required for each unit of final product. Each product requires 30 minutes of labor time to assemble. There are 15 workers in assembly. There is sufficient demand to sell every scooter the system can make. At the current batch size, what is the capacity of stage 1 (stamping) in [units per hour]? At the current batch size, which stage is the…A1 Credit provides credit information to its customersthroughout the country, 24 hours per day. Credit representativesanswer customer calls and provide information. Based on demandpatterns, the estimated number of representatives needed duringfour-hour time periods of each day are shown in the table. Employees work shift s of eight consecutive hours, and shift scan start at the beginning of any of the six periods shown inthe table. Assume this schedule will be repeated day aft er day,so that someone starting at 8 pm will contribute to the need forrepresentatives in the midnight–4 am time period. Th e supervisorhas been instructed to schedule employees so that all demandscan be met with a minimum possible number of employees.(a) Formulate an LP to minimize the number of representativesneeded.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution.Part A is processed on a MILLING machine; Part B is processed on a LATHE machine. Two parts (A and B) are then assembled on an ASSEMBLY machine. Standard times, scrap rates, efficiency, and availability of each machine and the assembly are given in the table below. Determine the number of milling (M), the lathe (L) and the assembly (A) machines needed to produce 100 good parts from this production system during and 8-hour (480 minutes) shift. (Note: Round up the number of parts processed on each station and then round up the number of machines needed).
- A college provides free tutoring services for its students 7 days a week, and the daily requirements for tutors are: Day M T W Th F S Su Requirements 5 4 7 3 6 3 4 Find the minimum number of tutors required if each tutor works 4 days a week and has 3 consecutive days off. Give preference to Saturday and Sunday off in case of a tie. (Hint: Look for group of 3 days with the lowest requirements). Specify the work schedule for each tutor. How much slack does your schedule generate for each day?EU Company manufactures two different types of life vests (A and B) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process (see Figure 1). Batch setup times are negligible. The flowchart denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. EU can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $6 per hour for an entire week, regardless of how much the worker is used. Total labor costs per week are fixed. Variable overhead costs are $1,500/week. The plant operates one 8-hour shift per day, or 40 hours/week. Which of the three workstations, W,…Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $275 and $225, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (round your response to two decimal places).
- Lee Beedo, a hip bachelor in Edmond, has a date for Saturday night and finds himself without a thing to wear. Faced with the daunting task of doing enough laundry to fully accessorize during his night out, Lee has sorted his clothes into loads according to fabric and colour. Based on his vast experience doing laundry, Lee knows how long each load will take in both the washer and the dryer. He glances at his watch; it is now 2:00 p.m. and he has to have the last load dry by 8:30 p.m. to be there in time. Help Lee develop a schedule that will enable him to make his date on time and depict that schedule using a Gantt chart. Can he make it and, if so, by how much? Load Wash Time (hrs.) Dry Time (hrs.) Polyesters 0.50 0.75 Leathers 2.00 1.50 Whites 0.75 1.25 Unmentionables 1.00 1.25 Silks 0.50 0.25Ajax Manufacturing Inc. (Centralized System With Distributed Terminals) The following describes the conversion cycle processes for AJAX Manufacturing Inc., which employs a centralized computer system with distributed terminals in the departments. The current batch production process at AJAX is initiated from a marketing forecast of expected sales for the quarter. The production planning and control clerk uses this to create a digital production schedule of the various batches to be produced during the quarter. From this schedule, the system automatically produces digital work orders. The production department supervisor accesses the work orders from his terminal and prints the necessary hard-copy move tickets and materials requisitions. The move tickets and two copies of the purchase requisitions are distributed to each work center in the production process. Employees submit the material requisitions to storekeeping in exchange for materials and subassemblies. If additional raw…A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…
- A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…A service process is described by the above flowchart. After going through workstation A, an order needs to be processed by one of the three lines, B1-C1-D1, B2-C2-D2, or B3-C3-D3 (in other words, they are substitutable). Finally, all orders need to go through workstation E. The capacities of the individual workstations are given as follows: Workstation A has a capacity of 2 orders/hour Workstation B1, B2, and B3 have the same capacity of 3 orders/hour Workstation C1, C2, and C3 have the same capacity of 3 orders/hour Workstation D1, D2, and D3 have the same capacity of 3 orders/hour Workstation E has a capacity of 4 orders/hour What is capacity of the service process in orders/hour? Note: Please do not include the unit of measure. For example, if your answer is 10 orders/hour, enter 10.Alvis Construction Supply Company has a department that manufactures wood trusses (wood frames used in the construction industry). The following information is for the production of these trusses for the month of February: Work-in-process inventory, February 1 4,300 trusses Direct materials: 100% complete $ 10,780 Conversion: 30% complete $ 15,558 Units started during February 18,300 trusses Units completed during February and transferred out 17,300 trusses Work-in-process inventory, February 29 Direct materials: 100% complete Conversion: 30% complete Costs incurred during February Direct materials $ 59,340 Conversion $ 92,392 Required Using the weighted-average method, calculate the following: 1-a. Costs per equivalent unit. (Round your answers to 4 decimal places.) 1-b. Cost of goods completed and transferred out. (Round "Cost per EU" to 4 decimal places. Round final answer to nearest whole dollars.) 1-c. Costs remaining in the…