The Wacky Widget Company manufactures widgets. Manufacturing widgets takes four steps, done in order. Each workstation for each step can work on one widget at a time. The number of workstations for each step, as well as the flow time through each step, in minutes: Step # of workstations Flow Time (min) 1 7 38 2 1 36 3 4 33 4 4 32 Demand for the widgets is steady at a rate of 0.14 widgets/min; the supply of raw materials is steady at a rate of 0.18 widgets/min. What is the throughput rate of the supply chain? (Please use at least four significant figures in your calculations.)
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- Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwindshoe, which sells for $210, contains both gas- and liquid-filled compartments to provide morestability and better protection against knee, foot, and back injuries. Manufacturing the shoesrequires 10 separate tasks. There are 400 minutes available for manufacturing the shoes inthe plant each day. Daily demand is 60. The information for the tasks is as follows: Task Performance Time (In minutes) Task Must Follow This task A 1 ___ B 3 A C 2 B D 4 B E 1 C.D F 3 A G 2 F H 5 G I 1 E,H J 3/25 I 1. What is the theoretical minimum number of work stations required to satisfy this output rate? 2. Allocate the tasks to work stations taking into consideration the precedence requirements and usingthe LOT rule to break ties between feasible tasks.The three-station work cell at Pullman Mfg., Inc. is illustrated in the figure below. It has two machines at station 1 in parallel (i.e., the product needs to go through only one of the two machines before proceeding to station 2). a) The throughput time isminutes (enter your response as a whole number). b) The bottleneck time of this work cell isminutes per unit (enter your response as a whole number) c) is the bottleneck station. If the firm operates 11 hours per day, 6 days per week, the weekly capacity of this work cell isunits (enter your response as a whole number).A furniture factory makes two types of wooden tables,large and small. See the flowchart below .Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart. a. What is the capacity of the system, and what is thebottleneck? b. What are the throughput times for batches of large and small tables? c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?
- Assume that Company F produces a variety of smart phones sequentially on three machines. The times required on each machine for one typical racket are as follows: M1: 3 minutes M2: 8 minutes, M3: 2 minutes, M4: 5 minutes. The throughput time for a smart phone is : 2 minutes 4.5 minutes 9 minutes 18 minutesA product is completed when 18 tasks are done. These tasks are assigned to 6 workstations (each workstation handling several tasks) in an assembly line set up. All workstations work the same amount of time (= cycle time), and move the (partial) product to the next workstation, and repeat this process. The last workstation generates the finished product. We need 1200 units made every day (= 8 hours). If we run this line with a cycle time of 0.3 minutes, what is the most amount of work (in minutes) that can be done on this product? (Give the answer with one decimal place)It is election day and 1800 voters vote in their precinct’s library during the 10 hours thepolls are open. On average, there are 15 voters in the library and they spend on average5 minutes in the library to complete their voting. What is the inventory of voters, theflow rate, and the flow time for each voter?
- Three departments- milling (M), drilling (D), andsawing (S)- are assigned to three work areas in Victor Berardis'smachine shop in Kent, Ohio. The number of workpieces movedper day and the distances between the centers of the work areas,in feet, follow. Pieces Moved between Work Areas Each Day lt costs $2 to move I workpiece I foot.What is the cost?Can you think of any method to maximize the machine's output while minimizing its downtime?Steel City Juice is a local company that makes two kinds of juice: orange juice and apple juice.Demand for orange juice is 60 barrels/hr, while demand for apple juice is 40 barrels/hr. The company only has one machine to extract juice from raw fruit. The machine can extract orange juice at a speed of 150 barrels/hr, or apple juice at 120 barrels/hr. Switching from one type to the other requires 30 minutes cleanup time.Please provide a production schedule and an associated process flow diagram that (i) cycles repeatedly through the two kinds, (ii) meets the required demand, and (iii) minimizes the amount of inventory held. (Here it is assumed that the production machine runs 24 hours a day, 7 days a week ) and what is the maximum inventory level of orange juice?
- A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product are: Task Time(secs) ImmediatePredecessor u 30 none v 30 u w 6 u x 12 w y 54 x z 30 v,y If the company wants the output rate to be equal to demand, what is the last task performed at the second workstation if tasks are assigned in order of the most following tasks?A garment manufacturing has already finishedgarments to iron/press in order to prepare for selling them in the market. There aretwo kinds of garments, namely: poloshirt and t-shirts. Poloshirt is to be sold atP200 per piece while t-shirt at P50 each. Ironing/pressing one piece of polotshirttakes 30 minutes while t-shirt takes 12 minutes. The owner of the garment factoryhas a total of 7 finishing workers, who each works 8 hours per day. Four (4) ofwhich are assigned as pressers and three (3) as packagers. For one day, theowner would like to maximize his profit.Using linear programming, determine how many pieces of poloshirts and howmany pieces of t-shirts should be sold in the market in day in order to maximizethe profit. In line with your answer on the number of pieces of poloshirts andnumber of pieces of t-shirts to be sold in the market, compute for the profit.Select the best answer from the choices enumerated below.You may use linear equations and/or inequalities to arrive at the…Cycle Time and Velocity, MCE Computador has a manufacturing plant in Des Moines that has the theoretical capability to produce 253,000 laptops per quarter but currently produces 75,900 units. The conversion cost per quarter is $9,108,000. There are 63,250 production hours available within the plant per quarter. In addition to the processing minutes per unit used, the production of the laptops uses 8 minutes of move time, 22 minutes of wait time, and 5 minutes of rework time. (All work is done by cell workers.) Required: 1. Compute the theoretical and actual velocities (per hour) and the theoretical and actual cycle times (minutes per unit produced). If required, round to one decimal place. Theoretical Actual Velocity fill in the blank 1 laptops per hour fill in the blank 2 laptops per hour Cycle time fill in the blank 3 minutes per laptop fill in the blank 4 minutes per laptop 2. Compute the ideal and actual amounts of conversion cost assigned per laptop. If required,…