The head of a management information center wants to staff consulting stations with two shifting teams. Team A will comprise of 3 senior programmers and 3 system analysts and Team B will consists of 2 senior programmers and 5 system analysts. The director wants to use no more than 42 individuals. There will be at least 48 hours to be filled during the week, with Team A shift serving for 4 hours and Team B shift serving 3 hours. The cost of Team A per shift is 3200$ per hour and 2800$ per hour for a Team B per shift. Determine the number of shifts of each team in order to minimize the cost.
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- Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?The ABC Company is planning a new product line and a new plant to produce the parts for the line. The product line will include 8 different models. Annual production of each model is expected to be 900 units. Each product will be assembled of 180 components. All processing of parts will be accomplished in the new plant. On average, 6 processing operations are required to produce each component, and each operation takes an average of 1 min (including an allowance for setup time and part handling). All processing opera-tions are performed at workstations, each of which includes a production machine and a human worker. The plant operates one shift. Determine the number of (a) components, (b) processing operations, and (c) workers that will be needed to accomplish the processing operations if each worker works 2,000 hr/yr.An industrial engineer has designed two alternative methods for accomplishing a production job. Both methods involve the acquisition of the same working place and other capital equipment to be used for this job only. Method A calls for a crew consisting of three men each costing Php30/hr. This method will result in the production of 10 units per hour of which two will be reject. Method B calls for a crew of two men each costing Php35/hr and should result in the production of eight units per hour of which one will be reject. The cost of the direct material lost in each reject is Php20. If a certain total number of units is to be produced find which method is economical?
- A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed. Standard Deluxe Stamping 3 6 Motor Installation 10 10 Wiring 10 15 The standard models contribute $20 each and the deluxe $30 each to profits. Because the company produces other items that share resources used to make the dishwashers, the stamping machine is available only 30 minutes per hour, on average. The motor installation production line has 60 minutes available each hour. There are two lines for wiring, so the time availability is 90 minutes per hour. Write the formulation for this linear program. What are the optimal daily production quantities of each product and the optimal daily profit?The Safe Zone Restaurant, a 24-hour restaurant, faces changing requirements from hour to hour. More workers are needed for peak hours, and fewer are needed in between. The following table shows the worker requirement for the first 12 hours in the restaurant: Table 8. Staff Requirement at the Safe Zone Restaurant Time Period 10 11 12 1 PM|2 PM|3 PM|4 PM|5 PM|6 PM 7 PM|8 PM|9 PM АM | АM | РМ Requirement 7 Assigned On Duty Overstaffed 9 10 10 8 6 6. 8 8 12 12 8 a) You are required to apply the first-hour principle to staff each hour with the required number of cafeteria staff, showing how many staff are on duty each given hour, the number of staff you have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts. ii. Schedule the staff to work in 4-hour shifts. b) Indicate with at least one reason, which schedule would be more optimal from an Operations Scheduling perspective?JOHNSON’S RULE Five specialty jobs at a La Crosse, Wisconsin, tool and die shop must be processed through two workcenters (drill press and lathe). The time for processing each job follows:Work (processing) Time for Jobs (hours)JOBWORK CENTER 1(DRILL PRESS) WORK CENTER 2(LATHE)A5 2B3 6C8 4D 10 7E 7 12
- Chris has three different workstations: one for drip coffee, one for espresso drinks, and one to prepare food. During the morning rush, Chris has 5 people working: one person at the drip coffee station, two at the espresso station, and two at the food prep station. These employees are not cross-trained, and thus must stay at their station. On average, it takes the person at the drip coffee station 1 minute to make the coffee. On average, it takes one person working at the espresso station 3 minutes to make one espresso drink. On average, it takes one person working at the food station 4.5 minutes to prepare the food for one customer. The customer mix is as follows. 10% order just a drip coffee, 30% order a drip coffee and food, 35% order just an espresso drink, and 25% order an espresso drink plus food. A total of 40 customers/ hour frequent Chris'. What is the implied utilization at the espresso station? Provide your answer in decimal form, and round to 4 decimal places. (So, if your…bama pie company's assembly line operations (the assembly line operates for six hundred minutes per day) comprise of eleven tasks, with the longest task time being 2.4 minutes and the shortest task time being 0.4 minutes; the sum of the task times is eighteen minutes. the firm is working on balancing its assembly line operations. the firm needs to produce 200 pies per day; to achieve this, the firm calculates the required cycle time as ---- minutes?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…
- A shipping company operates 10 container ships that can each carry 5000 containers oneach journey between ports. They want to be able to load and unload 20,000 containerseach week. Assume their ships always travel fully loaded. What is the longest averagetravel time between ports that allows them to meet their goal of 20,000 containers perweek?William Beebe owns a small shoe store. He has 10 pairs of shoes that requireresoling and polishing. He has a machine that can resole one pair of shoes at atime, and the time required for the operation varies with the type and condition of theshoe and the type of sole that is used. Shoes are polished on a machine dedi-cated tothis purpose as well, and polishing is always done after resoling. His assistant generally does the polishing while Mr. Beebe does the resoling. The resoling and polishingtimes (in minutes) are Shoes Resoling Time Polishing Time1 14 32 28 13 12 24 6 55 10 106 14 67 4 128 25 89 15 510 10 5In what order should the shoes be repaired in order to minimize the total makespanfor these 10 jobs?A machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited. Speed Hour Output per Tool RegrindingA 200 pieces every 8 hours B 280 pieces every 5 hours A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical? A. Speed B, 0.096/pc B Speed B, 0.087/pc C. Speed A, .054/pc D. Speed A >037/pc