A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Production time in min Product Lathe Drill press 6 32 2.
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- Tuff-Rider, Inc., manufactures touring bikes and mountainbikes in a variety of frame sizes, colors, and component com-binations. Identical bicycles are produced in lots of 100. Theprojected demand, lot size, and time standards are shown inthe following table: Item Touring MountainDemand forecast 5,000 units/year 10,000 units/yearLot size 100 units 100 unitsStandard processing time .25 hour/unit .50 hour/unitStandard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week,50 weeks a year. It operates five workstations, each producingone bicycle in the time shown in the table. The shop main-tains a 15 percent capacity cushion. How many workstationswill be required next year to meet expected demand withoutusing overtime and without decreasing the firm’s currentcapacity cushion?C&A Furniture uses a four-step process to make its famous wood table: Processing Time Process Milling Table top Milling Table stand Assembly Finishing The milling machine requires a setup time of 30 minutes to make table tops and a changeover time of 30 minutes to make table stands. If the batch size is 10, what is the capacity of the process in tables per minute? A) 0.077 B) 0.05 C) 0.067 10 5 15 20 D) 0.048A process has a yield of 50 percent. How many units are needed as inflow to create anoutflow of 40 units per day?a. 10b. 20c. 80d. 90
- A processor makes two components, A and B, which are then packaged together as thei nal product (each product sold contains one A and one B). The processor can do onlyone component at a time: Either it can make As or it can make Bs. There is a setup timewhen switching from A to B.Current plans are to make 100 units of component A, then 100 units of component B,then 100 units of component A, then 100 units of component B, and so forth, where thesetup and run times for each component are given below.Component Setup/Changeover Time Run Time/UnitA 5 minutes 0.2 minuteB 10 minutes 0.1 minuteAssume the packaging of the two components is totally automated and takes onlytwo seconds per unit of the i nal product. This packaging time is small enough that youcan ignore it. What is the average hourly output, in terms of the number of units of packagedproduct (which includes one component A and one component B)?#4- The mean number of air conditioning units assembled per month by Freeze, Inc. is 750 and the standard deviation is 100 units. a. If the number of air conditioning units assembled per month follows a normal distribution, calculate the probability of Freeze, Inc to assemble a quantity of air conditioning units greater than the monthly break-even point calculated in problem 3-a. b. An improved assembling process is proposed to Freeze, Inc. to reduce the variable cost from $500 per unit to $400 per unit., increase the mean number of air conditioning units assembled per month from 750 to 850 and reduce the standard deviation to 90 units. As a result of the improvements, monthly fixed costs would go up from $250,000 to $300,000. Once these improvements are implemented, calculate the new number of air conditioning units that Freeze Inc. must sell every month to break-even, discuss and justify if you would recommend the process improvement initiative. c. If the number of air conditioning…Which one of the following is a variable to be considered when calculatingproduction lot size? a forecasted demandb customer orderc the lower of customer orders and forecasted demandd the higher of customer orders and forecasted demand
- (a) T. Smunt Manufacturing Corp. has the process displayed below. The drilling operation occurs separately from and simultaneously with the sawing and sanding operations. The product only needs to go through one of the three assembly operations (the assembly operations are "parallel"). ASSEMBLY SAWING SANDING 78 min/unit 15 min/unit 15 min/unit WELDING ASSEMBLY DRILLING 25 min/unit 78 min/unit 27 min/unit ASSEMBLY 78 min/unit 1. Which operation is the bottleneck? 2. What is the throughput time for the overall system? 3. If the firm operates 8 hours per day, 22 days per month, what is the monthly capacity of the manufacturing process? 4. Suppose that a second drilling machine is added, and it takes the same time as the original frilling machine. What is the new bottleneck time of the system? 5. Suppose that a second drilling machine is added, and it takes the same time as the original drilling machine. What is the new throughput time?. Aquatica makes underwater camera housings for divers. The process begins with a solid rectangular block of aluminum that is used to make a single housing. A computer numerically controlled (CNC) machine drills into the block to make the metal “frame” of the housing. Each block requires 15 minutes of drilling. The frame is then chemically treated in a series of baths. There is ample capacity in the treating stage. Finally, a worker must manually attach the various buttons and components to the metal housing. This assembly takes 120 minutes per housing per worker and Aquatica has 6 workers trained to do this task. The CNC machine requires a 30-minute setup time before the production of a batch can begin. a. If the CNC machine produces 14 housings between setups, what would be its capacity (in housings per hour)? b. Assuming the process is supply-constrained, what is the utilization (as a number between 0 and 1) of the CNC machine if it operates in batches of 14 housings? c. Assuming…A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table below. Type I Type IIMachine 1 0.2 min 0.2 minMachine 2 0.6 min 0.2 minMachine 3 0.04 min. 0.08 min Production schedules are made up one day at a time. In a day, 300, 720, and 100 minutes are available, respectively, on these machines. Type I bolts sell for 15¢ and type II bolts for 20¢. (a) How many of each type of bolt should be manufactured per day to maximize revenue?(b) What is the maximum revenue?(c) Suppose the selling price of type I bolts began to increase. Beyond what amount would this price have to increase before a different number of each type of bolts should be produced to maximize revenue?
- A company that makes shopping carts for supermarkets and other stores recently purchased somenew equipment that reduces the labor content of the jobs needed to produce the shopping carts.Prior to buying the new equipment, the company used five workers, who produced an average of80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the newequipment, it was possible to transfer one of the workers to another department, and equipment costincreased by $10 per hour while output increased by four carts per hour.a. Compute labor productivity under each system. Use carts per worker per hour as the measure oflabor productivity.b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plusequipment) as the measure.c. Comment on the changes in productivity according to the two measures, and on which one youbelieve is the more pertinent for this situation.A company that makes shopping carts for supermarkets and other stores recently purchased somenew equipment that reduces the labor content of the jobs needed to produce the shopping carts.Prior to buying the new equipment, the company used five workers, who produced an average of80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the newequipment, it was possible to transfer one of the workers to another department, and equipment costincreased by $10 per hour while output increased by four carts per hour.a. Compute labor productivity under each system. Use carts per worker per hour as the measure oflabor productivity.31 - Which of the following is a production method in which a wide variety of inputs in batches pass through multi-purpose flexible processing units and turn into a wide variety of outputs? a) Workshop (Task) Type Production System B) Fluent Production System NS) Multivariable Production System D) Project Production System TO) Univariate Production System