Problem. A garment factory manufactures men's shirts and women's blouses. The production process includes cutting, sewing, and packaging. The factory employs 25 workers in the cutting department, 35 workers in the sewing department, and 5 workers in the packaging department. Each employee works an 8-hour shift per day for 5 days a week. The following table gives the time requirements and profit per unit for the two garments: Minutes per unit Garment Cutting Sewing Packaging Profit/unit Shirts 20 70 12 Php 80.00 Blouses 60 60 Php 120.00 Determine the optimal weekly production schedule for the garment factory.
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- 3. High carbon steel or alloy steel can be used for the set of tools on a lathe The tools must be sharpened periodically. Data for each are as follows High carbon steel 60 pcs 4 hours Alloy stee! 70 pcs 6 hours Output per hour Time between tool grinds Time required to change 1 hour tools The wage of the lathe operator is Php50 per hour, based on actual working hours. The total changer costs Php60 per hour Overhead costs for the lathe are Php15 per hour, includng tool-change time A set of unsharpened alloy steel costs Php880 and can be ground five times. What type of steel shoukd be used? I hour2. ( A large business process outsourcing company operates 5 days a week (Monday to Friday). The manager estimates that the minimum number of agents required, combined on-site and work-from-home (WFH) setup, to provide prompt service are as follows: 20 for Monday, 18 for Tuesday, 23 for Wednesday, 28 for Thursday, and 32 for Friday. Labor rules state that each agent must work for 3 days a week on-site, and 2 days in WFH setup. For example, an agent who works on-site Monday to Wednesday must be on WFH-setup during Thursday and Friday. Also, the company wants that at least 60% of the workforce for each day are reporting on-site. Formulate the appropriate LP model for this problem to minimize the number of agents to be hired.Climate Control, Inc., makes expedition-quality rain gearfor outdoor enthusiasts. Management prepared a forecast ofsales (in suits) for next year and now must prepare a produc-tion plan. The company has traditionally maintained a levelworkforce strategy. All nine workers are treated like familyand have been employed by the company for a number ofyears. Each employee can produce 2,000 suits per month.At present, finished goods inventory holds 24,000 suits. Thedemand forecast follows:Use the Sales and Operations Planning with SpreadsheetsSolver in OM Explorer or develop your own spreadsheetmodels to address the following questions.a. Management is willing to authorize overtime in pe-riods for which regular production and current lev-els of anticipation inventory do not satisfy demand.However, overtime must be strictly limited to no morethan 20 percent of regular-time capacity. Managementwants to avoid stockouts and backorders and is notwilling to accept a plan that calls for shortages.…
- Climate Control, Inc., makes expedition-quality rain gearfor outdoor enthusiasts. Management prepared a forecast ofsales (in suits) for next year and now must prepare a produc-tion plan. The company has traditionally maintained a levelworkforce strategy. All nine workers are treated like familyand have been employed by the company for a number ofyears. Each employee can produce 2,000 suits per month.At present, finished goods inventory holds 24,000 suits. Thedemand forecast follows: Use the Sales and Operations Planning with SpreadsheetsSolver in OM Explorer or develop your own spreadsheetmodels to address the following questions. a. Management is willing to authorize overtime in pe-riods for which regular production and current lev-els of anticipation inventory do not satisfy demand.However, overtime must be strictly limited to no morethan 20 percent of regular-time capacity. Managementwants to avoid stockouts and backorders and is notwilling to accept a plan that calls for shortages.…Tax Prep Advisers, Inc., has forecasted the following staffingrequirements for tax preparation associates over the next12 months. Management would like three alternative staffingplans to be developed. The company currently has 10 associates. No more than 10new hires can be accommodated in any month because oflimited training facilities. No backorders are allowed, andovertime cannot exceed 25 percent of regular-time capacityon any month. There is no cost for unused overtime capac-ity. Regular-time wages are $1,500 per month, and overtimewages are 150 percent of regular-time wages. Undertime ispaid at the same rate as regular time. The hiring cost is $2,500per person, and the layoff cost is $2.000 per person.a. Prepare a staffing plan utilizing a level workforce strategy,minimizing undertime. The plan may call for a one-timeadjustment of the workforce before month 1.b. Using a chase strategy, prepare a plan that is consistent withthe constraint on hiring and minimizes use of overtime.c.…Exercise 6: The Good Furniture makes two products: tah les and chairs, which mustbe processed through assemb ly and finishing dep artments. Assemb ly dep artment is availah le for 60 hours in every production period, while the finishing dep artment is availab le for 48 hours ofwork. Manufacturing one tab le req uires 4 hours in the assemb ly and 2 hours in the finishing, Each chair requires 2 hours in the assemb ly and 4 hours in the finishing, One tab le contrib utes P80 to the profit, while a chair contrib utes P60. The prob lem is to determine the numb er of tab les and chairs to makeper productionperiod, in order to maximize the profit. Exercise 7: A small generator b urns two types of fuel: bw sulfur and high sulfur to produce electricity. For one hour, each galon of bw sulfur emits.3 units of sulfur dioxide, generates 4 kilowatts electricity and costs P60. Eachgalbn of high sulfur emits 5 units of sulfur djexide, generates 4 kilbwatts electricity , and costs P50. The…
- 1. A worker earns a minimum daily wage of P537. His regular work hours are from 8:00 am to 5:00 pm with one hour lunch break. The worker's rest day is Thursday. Paydays are every 5th and 20th of the month. Compute his daily gross earnings if his time record shows the following data: Date 21 - Dec Thursday (Rest Day) 22 - Dec Friday 23 - Dec Saturday 24 - Dec Sunday ( Special Holiday) 8:00 am 11:00 am 25 - Dec Monday (Regular Holiday ) NO WORKINO WORK 26 - Dec Tuesday 27 - DecWednesday 28 - DecThursday ( Rest Day) 29 - DecFriday 30 - DecSaturday( Regular Holiday )8:00 am 5:00 pm 31 - Dec Sunday ( Special Holiday) 8:00 am 11:30 am 1- Jan Monday (Regular Holiday ) NO WORKINO WORK 2- Jan Tuesday 3- Jan Wednesday 4- Jan Thursday (Rest Day) |Day Time In Time Out 9:00 am 4:00 pm 8:00 am 5:00 pm 8:00 am 5:00 pm 8:30 am 5:00 pm 8:00 am 5:00 pm 10:00 am 3:00 pm 8:00 am 5:00 pm ]9,00 am 5:00 pm 8:00 am 5:00 pm 8:00 am 4:00 pmMacon Controls produces three different types of controlunits used to protect industrial equipment from overheating Each of these units must be processed by a machine thatMacon considers to be their process bottleneck. The plantoperates on two 8-hour shifts, 5 days per week, 52 weeks peryear. Table 4.2 provides the time standards at the bottleneck,lot sizes, and demand forecasts for the three units. Becauseof demand uncertainties, the operations manager obtainedthree demand forecasts (pessimistic, expected, and optimis-tic). The manager believes that a 20 percent capacity cushionis best.a. How many machines are required to meet minimum(pessimistic) demand, expected demand, and maximum(optimistic) demand?b. How many machines are required if the operations man-ager decides to double lot sizes? c. If the operations manager has three machines and be-lieves that the plant can reduce setup time by 20 percentthrough process improvement initiatives, does that planthave adequate capacity to…Timber Solutions Ltd. is expanding and needs to hire more personnel in the accounting office. Leena Barker, the chief accounting officer, knew that her cousin Rose was looking for a job. Leena offered Rose a job as her assistant. Leena will be responsible for Rose’s performance reviews and training. Question List some problems with the proposed personnel situations in the accounting department ?
- The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor-Hours Required Department A B с (hours/unit) Product 1 Product 2 Hours Available Production 1.00 0.30 Profit contribution/unit $30.00 0.20 38.27 0.35 0.20 0.50 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 69.77 M 95 72.09 38 50 (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? Dept A What is the upper limit of what…2 3. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month. All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the gool of the maintenance deportment to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective moaintenance. How many hours each month are spent performing corrective maintenance if they achieve their 90% utilization and correct/preventive mix targets?Taku-Tau (Pty) Ltd has been offered a contract which, if accepted, would significantly increase next year's activity levels. The contract requires the production of 20 tons of product XX and specifies a contract price of NS100 per kg. The resources used in the production of each kg of XX include: Resource per kg of xx Cost per hour Labour. Grade 1 2 hours N$4 Grade 2 6 hours NS2.5 Material: A 2 units B 1 litre Grade 1 labour is highly-skilled and is currently under-utilized in the firm. It is Taku-Tau's policy to continue to pay Grade labour in ful. Acceptance of the contract would reduce the idle time of Grade 1 labour. Idle time payment is treated as non-production overheads. Grade 2 is unskilled labour, with a high turnover, and may be considered a variable cost. The materials required to fulfil the contract would be drawn from those materials already in stock. Material A is widely used within the firm regularly. Material B was purchased to fulfil an expected order which was not…