management sci - linear programming, sensitivity analysis on excel (see pic for details) Each product contains a different amount of two basic raw materials. Raw material1 costs $0.50 per ounce, and raw material 2 costs $1.50 per ounce. There are 75,000ounces of raw material 1 and 100,000 ounces of raw material2 available.Requirements(oz/unit)RawMaterial 1SellingMaterial 2 Price($/unit15.00KnifeRaw4,6.25.5014.0019.501027.00a. If the objective is to maximize profit, specify the objective function and constraintsfor the problem. Assume that labor costs are negligible.b. Solve the problem with a computer package, using the simplex method.2835912/6ABCDE Test II. Linear Programming. Read first the given problem then answer each questioncorresponding to the solution to linear programming problems.The Butterfield Company makes a variety of hunting knives. Each knife is processed on fourmachines. Following are the processing times required; machine capacities(in hours) are1500 for machine 1, 1400 for machine 2, 1600 for machine 3, and 1500 for machine 4.Processing Time(hr)Machine 2KnifeMachine 1Machine 3Machine 40.050.150.200.150.100.100.050.100.100.150.05B0.050.050.100.200.100.100.10E.0.050.05Each product contains a different amount of two basic raw materials, Raw material1 costs $0.50 per ounce, and raw material 2 costs $1.50 per ounce. There are 75,000ounces of raw material 1 and 100,000 ounces of raw material2 available.Requirements(oz/unit)RawMaterial 1KnifeRawSellingMaterial 2 Price($/unit415.006.8.25.501.2.19.509.1027.00ABUD山

Find the Given details below: Given details: Knife Raw Material 1 Raw Material 2 Selling price…

Answered: Each product contains a different…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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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
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?
Panini, a popular sandwich shop, offers 3 types of sandwiches: grilled vegetables, grilled chicken, and pastrami. Demand (sandwiches per hour) are Grilled Vegetables = 25, Grilled Chicken = 15, and Pastrami = 10. There are up to five steps in the process of making sandwiches, listed below with processing times. Step Grilled Vegetables Grilled Chicken Pastrami Cut bread 0.75 minutes 0.75 minutes 0.75 minutes Grill 1.4 minutes 1.4 minutes Slice meat 3 minutes Toast 2 minutes 2 minutes 2 minutes Wrap 0.5 minutes 0.5 minutes 0.5 minutes Only 50 percent of customers want their sandwich toasted, no mattor which sandwich is ordered. Suppose Panini employs 1 worker at each step. Instructions: Round all answers to 1 decimal place. (a) What is the implied utilization of each of the five steps in this process? 62.5 % 93.3 % 50.이% 83.3 % 41.7 % Cut Grill Slice Toast Wrap (b) What is the actual and maximum flow rates of the three sandwich types? per hour Veg Chicken per hour
A Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 7 workers, who produced an average of 87 carts per hour. Workers receive $15 per hour, and machine coast was $43 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $14 per hour while output increased by four carts per hour. a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/S) = Blank 1 (round to 4 decimal places). b) Compute the productivity changes between the Prior to and after buying the new equipment. The productivity growth = Blank 2% (round to 2 decimal places) Blank 1 Add your answer Blank 2 Add your answer
A Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 6 workers, who produced an average of 78 carts per hour. Workers receive $10 per hour, and machine coast was $36 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $13 per hour while output increased by four carts per hour.a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/$) = (round to 4 decimal places).b) Compute the % growth in productivity between the Prior to and after buying the new equipment. The growth in productivity = % (round to 2 decimal places)
In a job shop, effective capacity is only 79 percent of design capacity, and actual output is 53 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity? a. The Design Capacity needed to achieve the required actual job outputs Blank 1 (round to whole number) b. The Effective Capacity needed to achieve the required actual job outputs = Blank 2 (round to whole number) Blank 1 Add your answer
The OR is available for 12 hours a day; the hospital has decided to not perform any procedures between 7pm and 7am. This time is equally divided across three surgeons. The standard procedure time for the knee surgery done at the clinic is 1h. The cleaning and housekeeping that needs to happen after each procedure takes 20 minutes. Almost all of this time could be saved if the cleaning crew were notified earlier on. 10 minutes are spent on patient preparation / anesthesia work before each procedure. (Note: this is not part of the 60-minute procedure time). Proposals have been evaluated to move these 10 minutes to outside the OR, and there exists no medical reason that would prohibit doing this.) A surgeon only starts a case if all of the work associated with the case (preparation, procedure, and cleaning) can be completed in the 4h allotted to each surgeon. Surgeons never start BEFORE their allotted time. Though the clinic aims to operate 7 days a week, holidays, vacation, and…
A process includes 9 tasks and there are 3 workers. Each task can be assigned to only one worker and each worker must be assigned consecutive tasks.The time to complete tasks 1 to 9 (in seconds) are as follows: 60, 70, 25, 30, 50, 15, 25, 70, 75 Instruction: Round your answer to one decimal place. What is the capacity of this process in units per hour? Units per hour
1) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes, Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C₁=40 TL/Hour, cost of a machine is C₂-200 TL/Hour. What is the cost per unit of production if optimum number of machines is assigned to the operator? (Note: Times are given in minutes and costs are per hour) a) 231 TL/unit b) 6930 TL/unit c) 115.5 TL/unit d) 240 TL/unit e) 132 TL/unit 2) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes; Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C1=40 TL/Hour; cost of a machine is C₂=200 TL/Hour. How many machines (integer number) should be assigned to the operator so that the total operator and machine costs…
DreamInflate is a balloon manufacturing company. Balloon manufacturing consists of seven work stations, each performing a single step as indicated in the table below. There are five workers manned for the seven work stations as shown. Assume the workers are paid $15 per Worker Task Sequence Processing Time (secs/balloon) Task Dye production Electrocharging Dipping (Cold and Hot) Mortar Dipping Balloon inflation and delaltexing Vulcanization Inspection/Testing 1 30 w1 20 3 35 W2 25 W3 30 W4 6. 45 W5 7 40 hour. Each balloon pack is sold for $6 and has a variable cost of $1. The company has fixed costs of $200 per hour. There is more demand than the overall production system can provide. Based on the information provided, answer the following questions: • What is the cost of direct labor for balloons? • How much profit does DreamInflate make every hour? (note that the cost of direct labor is also a variable cost). What would the profit of DreamInflate be if the variable costs were 10…
n a manufacturing process, a molded part spends 7 hours in inventory before being placed in a deburring machine, where the part is processed for 2 minutes. After deburring, the part spends 4 hours in inventory waiting for its turn on the polishing machine. The part then spends 7 minutes in polishing before waiting 6 hours in line to be painted. The part goes through a painting process that takes 7 minutes, then spends 11 hours in inventory before being shipped to the customer. What is the percentage of value-added time for the part?
[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

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