A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,700 formachines 1; 1,300 for machine 2; and 1,600 for machine 3. The processing times are as follows:ComponentABссProcessing Time (hr)Machine 1Machine 20.250.200.103028190.100.150.05Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.10 per ounce, and raw material 2 costs $0.25 per ounce. At present, 181,000 ounces ofraw material 1 and 85,000 ounces of raw material 2 are available.Component Raw Material 1ABсRequirements (oz/unit)Raw Material 212169Machine 30.050.100.15Selling Price ($/unit)35.4024.0021.20a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective functionand constraints for the problem.Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)

Linear programming (LP) is an important tool in operations management that helps organizations…

Answered: a. Assume that the company must make at…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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?
Quasi-Tech Corporation produces specially machined parts. The parts are produced in batches in one continuous manufacturing process. Each part is custom produced and requires special engineering design activity (based on customer specifications). Once the design is completed, the equipment can be set up for batch production. Once the batch is completed, a sample is taken and inspected to see if the parts are within the tolerances allowed. Thus, the manufacturing process has four activities: engineering, setups, machining, and inspecting. Costs have been assigned to each activity using direct tracing and resource drivers as follows: Activity Expected Cost Activity Driver Activity Capacity Engineering $1,000,000 Engineering hours 5,000 hours Setups 900,000 Setups 200 setups Machining 2,000,000 Machine hours 25,000 machine hours Inspection 800,000 Inspection hours 2,500 inspection hours Quasi-Tech produces two models: Model C and Model D. The following table…
The ClickClock corporation produces clocks with six stations. Each station is manned by a human worker, who do the following tasks: These workers get paid $ 10 an hour. Ignore any Station Task Sequence Processing Time (secs) Task Heat-stake lens to bezel Inspect bezel Clean switch holes Install set switch in bezel Total time for A Check switch travel Clean inside bezel Install module in bezel Total time for B Install battery clip in module Heat-stake battery clip in module Install two batteries in module Check switch 14 2 26 A 3 10 Preparation 1 4 18 68 23 B 6 12 Preparation 2 7 25 60 8 20 9 20 Battery 10 22 Installation 11 8. Total time for C 70 Install band Inspect band Total time for D Cosmetic inspection Final test D 12 45 Band 13 13 Installation 58 E 14 4 Packaging 15 71 Preparation Total time for E 75 Place watch and cuff in display box Place cover in display box base 16 20 17 14 Watch 18 Place owner's manual and box into tub 30 packaging Total time for F 64
JCL Inc. is a major chip manufacturing firm that sells its products to computer manufacturers like Dell, Gateway, and others. In simplified terms, chip making at JCL Inc. involves three basic operations: depositing, patterning, and etching. • Depositing: Using chemical vapor deposition (CVD) technology, an insulating material is deposited on the wafer surface, forming a thin layer of solid material on the chip. Patterning: Photolithography projects a microscopic circuit pattern on the wafer surface, which has a light-sensitive chemical like the emulsion on photographic film. It is repeated many times as each layer of the chip is built. • Etching: Etching removes selected material from the chip surface to create the device structures. The table below lists the required processing times and setup times at each of the steps. There is unlimited space for buffer inventory between these steps. Assume that the unit of production is a wafer, from which individual chips are cut at a later…
Consider the following batch-flow process consisting of three process stepsperformed by three machines. Process steps step 1 step 2 step 3 processing time 0.25min./unit 0.20 min./unit 0.15 min./unit setup time 30 min 20 min 45 min Work is processed in batches at each step. Before a batch is processed at a step, the machine atthat step must be set up. (During a setup, the machine is unable to process any product.) Assumethat there is a dedicated setup operator for each machine (i.e., there is always someone availableto perform a setup at each machine.)a. What is the capacity of step 1 if the batch size is 35 parts?b. For what batch sizes is step 1 (2, 3) the bottleneck?
A local bakery is renowned for its elaborately cecorated sheet cakes. Consider the following process information: One baker is ivailable to prepare the cake batter (measuring and mixing ingredients and then adding it to baking pans). On average, this takes 10 minutes to prepare two cakes, ie. to make enough batter for 2 cakes and to add the batter to 2 cake pans. Move time to add and remove them from the oven is neglig bile, it takes 32 minutes to bake cakes - the bakery has two ovens, each able to hold 2 cakes. The one pastry chef on staff puts on an amazing show that draws a crowd all day-each cake is decorated in 6 minutes. The bakery operates 8 hours per day. Answer each of the following questions: a. What is the cycle time (in minutes per cake) of each stage - preparing, baking, and decorating? b. What is the dally process capacity? Explain. c. If orders arrive at a rate of 3 cakes every 20 minutes, can the bakery meet the caily demand Explain, Note: Be clear about how you…
. 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…
[The following information applies to the questions displayed below.] The following are the car repair shop data: TETE Ticket No. Work Ticket No. Work Ticket No. Work 1 Lube & oil 11 Battery 21 Battery Tires 2 Lube & oil 12 Tires 22 3 Brakes 13 Brakes 23 Brakes 4 Lube & oil 14 Transmission 24 Transmission Lube & oil 15 Brakes 25 Brakes Tires 16 Battery 26 Lube & oil 7 Tires 17 Brakes 27 Lube & oil 8. Brakes 18 Tires 28 Lube & oil 9. Brakes 19 Tires 29 Tires 10 Lube & oil 20 Lube & oil 30 Lube & oil
A machine makes two components; call them types A and B. It takes 630 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B? Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. What is the utilization of the machine? Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. What is the average inventory of B components? If the production schedule could be adjusted with…
A machine makes two components; call them types A and B. It takes 630 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 4 seconds, or 15 units per minute. Suppose the machine rotates between one batch of 2,520 units of A and 2,520 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B?
(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?
What kind of information is stored in the various fields of a process control block?

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