1 A minimum-cost flow problem has 4 supply nodes, 3 transshipment nodes, and 5 demand nodes. Each supply nC transshipment node but cannot ship to any demand node or to any other supply node. Each transshipment node demand node, but cannot ship to any supply node or to any other transshipment node. How many arcs will be in Number of arcs
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- Maximize profit = 4X + 4Y Subject to: 3X +5Y ≤ 150 X – 2Y ≤ 10 5X + 3Y ≤ 150 X, Y ≥ 0 Required: a- The corner point method to obtain the optimal point. b- Specify the profit value. c- Calculate the Slack for each constraint and state its formula.Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are Day M T W Th F S Su Requirements 7 3 5 5 6 2 2 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week.) Part 2 The minimum number of workers is _________workers. (Enter your response as a…The manager of a medical center wants to schedule staff based on a pattern of 5 days working and 2 consecutive days off. Based on the history of their workload, below is their weekly staff requirement: Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Staff needed 6 5 4 4 6 4 3 a. Determine what days employee 3 does not need to work. multiple choice Saturday and Sunday Monday and Friday Tuesday and Thursday Wednesday and Friday b. Determine the minimum number of full time staff. c. Determine the minimum number of part time staff. Prev Question 9 of 10 Total9 of 10 Visit question mapNext
- Problem: Acme Manufacturing produces widgets on an assembly line. The assembly process has five tasks, each with its own processing time: Task Processing Time (Seconds) A 10 B 8 C 12 D 9 E 7 drive_spreadsheetExport to Sheets Acme currently has two workers assigned to the assembly line, and they work simultaneously. The company wants to improve line efficiency and reduce waste. Objective: Balance the assembly line by assigning tasks to each worker in a way that minimizes idle time and maximizes output.Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are Day M T W Th F S Su Requirements 7 3 4 4 5 4 5 Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week.) The minimum number of workers is 7 workers. (Enter your response as a whole number.) Specify the workforce schedule for each employee by indicating the day offs (other days are considered to be…Airline Scheduling. Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 a.m., 10 a.m., and 12 noon. Alpha leases the airplanes at the cost of $5000 before and including 10 a.m. and $3000 after 10 a.m., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below. Time Slot 8 10 12 C 10 6 6 D 9 10 9 L 14 11 10 N 18 15 10 a) Formulate an integer linear program model that can be used to find the profit-maximizing schedule. Define your decision variables as Xij = 1 if a flight to destination i occurs in time slot j and Xij = 0 otherwise; and Yj = number of airplanes rented for time slot j. Write the objective function and all the constraints. b)…
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- 3. George Heinrich Printing Company wants to schedule the following seven jobs where each job must be processed by two machines A and B, first on machine A and then machine B. The processing times at machine A and B are as follows: Job i 1 2 3 4 5 6 7Processing time on machine A (ai) 15 7 4 7 10 4 7Processing time on machine B (bi) 3 9 10 6 9 5 8 (a) Suppose the inter-arrival times between jobs can be treated as zero and Johnson’srule is used to sequence and process the jobs, what is the completion time of eachjob and what is the total throughput time (makespan) of all jobs? (b) Now suppose that FIFO system (i. e., schedule job l before job 2, etc.) of schedulingand processing the jobs is used. What is the completion time of each job and whatis the total throughput time (makespan) of all jobs? (c) What would be the difference in the average time a job spends in the shop in (a)and (b) above?6a. Troy and Tristan have decided to open a competitive Cheer and Dance business. Troy’s expertise is in business. He has a degree in Business Administration with a minor in Underwater Basket Weaving. Tristan, on the other hand, has a degree in Sports Management and has been coaching the Tesoro cheerleading team, while his girlfriend, Beatrix, has been coaching the dance team. The problem is that no one has much capital to invest. In fact, both are having a little trouble figuring out how they will be able to get the startup capital for the business. Fortunately, there are no other competitive Cheer and Dance companies in the area. Unfortunately, the potential buildings they have found to lease costs over $7,000 per month and they expect that utilities and water will cost approximately $650 per month. Liability insurance is expensive as well, estimated to be $2,000 per month due to possible injuries. What type of business organization should Troy and Tristan adopt? WhyJANE’S SWEET STUFF BAKERYJane Brown has operated Jane’s Sweet Stuff Bakery for the past 6 years. By 5:00 a.m. everyweekday morning, customers are dropping in both to enjoy the cozy smells and to purchasefresh warm donuts and other goodies to enjoy with their coffee before going to work. After 5years of this schedule where she began baking by 3:00 a.m., Jane is very tired.Jane has decided to hire an apprentice baker and a cashier to provide early morning counterhelp. She knows that she must stop treating her bakery as an extension of herself and beginoperating a business. She has a friend with an MBA who told her to establish a performancemeasurement system, so that she can tell whether her two new employees are goodemployees or not.It all seems so complicated. Jane has contacted the local Business School Co-op Program andasked for advice. Your professor assigned you to answer Jane’s questions for 20 percent of yourgrade. When you meet with Jane, she tells you that she will need you to…