Or lein an initial feasible solution to the following Transportation Problem using the matrix minima method. D1 D2 D3 D4 Supply 01 2 3 4 02 4 3 8 03 Co 2 10 Demand 4 6. 8. 6. 24 (a) In a factory, there are six jobs to perform, each of which should go through two machines A and B in the order A, B. The processing timings (in hours) for the jobs are given here. You are required to determine the sequence for performing the jobs that would minimize the total elapsed time T. What is the value of T? 19. Job J1 J2 J3 J4 J5 J6 Machine A 8. 3 Machine B 6. 2 10 Or (b) Solve the game whose pay-off matrix is given by Player B B1 B2 B3 A1 (1 3. Player A A2 -4 -3 АЗ -1 (a) Consider the following project whose activities along with PERT time estimates, the optimistic time, most likely time and the pessimistic time and given as follows: 20. Activity Optimistic time Most likely time Pessimistic time S.No. 8211 4
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- A1 Credit provides credit information to its customersthroughout the country, 24 hours per day. Credit representativesanswer customer calls and provide information. Based on demandpatterns, the estimated number of representatives needed duringfour-hour time periods of each day are shown in the table. Employees work shift s of eight consecutive hours, and shift scan start at the beginning of any of the six periods shown inthe table. Assume this schedule will be repeated day aft er day,so that someone starting at 8 pm will contribute to the need forrepresentatives in the midnight–4 am time period. Th e supervisorhas been instructed to schedule employees so that all demandscan be met with a minimum possible number of employees.(a) Formulate an LP to minimize the number of representativesneeded.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution.A company produces three products A,B, and C. The products are processed through three machines as follows Standard Standard Standard ProductAnnual demand Time on m/c 1Time on m/c 2Time on m/c 3 A 600 15 350 2 1000 12 10 If there are 250 working days per year and the company plans to work one seven hours shift per day, then compute the number of machines required. B.Four trucks, 1, 2, 3, and 4, are waiting on a loading dock at XYZ Company that hasonly a single service bay. The trucks are labeled in the order that they arrived at thedock. Assume the current time is 1:00 P.M. The times required to unload each truck and the times that the goods they contain are due in the plant are given in thefollowing table.Truck Unloading Time (minutes) Time Material Is Due1 20 1:25 P.M.2 14 1:45 P.M.3 35 1:50 P.M.4 10 1:30 P.M.Determine the schedules that result for each of the rules FCFS, SPT, EDD, andCR. In each case compute the mean flow time, average tardiness, and number oftardy jobs.
- A. What is one application of yield management in addressing capacity problems B. Explain why queues form and recognize queues in the world aroundA production line is a set of sequential operations established in a factory plant where components are assembled to make a finished product or where materials are put through a refining process to produce an end-product that is suitable for onward consumption. Ford have seven production lines in their manufacturing plant for their automotive parts where each production line produces 120, 100, 80, 116, 77, 94, 112 output per day. (a) As the Production Manager at Ford, you are required to submit the daily report of the production plant. Calculate the mean, median, and mode from the data based on the output that has been provided. (b) Also calculate the three critical parameters for measuring spread in the following ways: Range Variance Standard DeviationA process improvement team is working to improve the production output at the Johnson Manufacturing plant’sHeader Cell that manufactures a key component, headers, used in commercial air conditioners. A header is partof the circulatory system of a commercial air conditioner that moves coolant between various components suchas the evaporator coil and the condenser coil. Currently, the header production cell is scheduled separately fromthe main work in the plant. Often, individual headers are not sequenced to match the product they go into on thefinal assembly line in a timely fashion, and so the product can sit in queue waiting for a header
- 7. The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?b. An employee has proposed adding new equipment that would speed up the loading rate to 6trucks per day. The equipment would cost $100 per day for each dock. Should the managerinvest in the new equipment?I ONLY NEED NUMBER 4 LETTERS A-C 3. Sharp Discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive at each service desk at an average of one every six minutes. The service rate at each service desk is four minutes per customer. 4. Sharp Discounts Wholesale Club is considering consolidating its two service desks (see Problem 3) into one location, staffed by two clerks. The clerks will continue to work at the same individual speed of four minutes per customer. a. What is the probability of waiting in line? b. How many customers, on average, are waiting in line? c. How much time does a customer spend at the service desk (waiting plus service time)? d. Do you think the Sharp Discounts Wholesale Club should consolidate the service desks?(Business Analytics) I need some help on this problem, I'm not sure what to do. Problem 2) Larry Edison is the director of the Computer Center for Buckly college. He now needs to schedule the staffing of the center. It is open from 8:00 AM until midnight. Larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants (qualified graduate students) are required. Time of Day Minimum Number of Consultants Required to be on Duty 8 AM – Noon 6 Noon – 4 PM 8 4 PM – 8 PM 12 8 PM - Midnight 6 Two types of computer consultants can be hired: full-time and part-time period the full-time consultants work for eight consecutive hours in any of the following shifts: mornings (8 AM - 4:00 PM), afternoon (noon - 8:00 PM), and evenings (4:00 PM to midnight). Full-time consultants are paid $17.50 per hour. Part-time consultants can be hired to work any of the four…
- Luck has two machines that analyze various blood samples. Recently, the demand for analyzing blood samples has increased and the lab director is planning to use linear programming to maximize the revenue for the lab. The lab gets blood samples for four types of special blood tests in the evening that must be completed the next day. The revenue from each type of special test and the time (in minutes) it takes on each machine is shown below. Revenue per test Time on Machinel Time on Machine 2 Test Type 1 $15 a. 3 minutes 5 minutes Test Type 2 $12 4 minutes 3 minutes C. What is the optimal solution? Test Type 3 $20 4 minutes 5 minutes Any machine can be used to process any type of the tests. Every day, each machine can be used for 12 hours (720 minutes). If anytime is left over in any machine, the lab can do routine tests which take 3 minutes pertest on either machine and the lab earns a revenue of $9 per test. There are usually about 200 routine tests waiting to be done which could be…Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Resource Requirement per Unit Rubber (lb.) Basketball 4 Football 5 Total Resources available 500 lb. 800 ft.2 * Each basketball produced results in a profit of $12, and each football earns $16 in profit. b. Transform this model into standard form Leather (ft.2) 3 2 a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.QuestionByron Sports is a manufacturer of sportswear. It produces all of its products in one department using a process costing system.The information for the current month is as follows:Beginning work in process (30% complete as to conversion cost) 12,000 unitsUnits started 90,000 unitsUnits completed and transferred out ?Ending work in process (70% complete as to conversion) 8,000 unitsCosts:Beginning work-in-process direct materials $28,800Beginning work-in-process conversion $5,040Direct materials added during month $216,000Conversion costs incurred during the month $139,200Direct materials are added at the beginning of the process. Conversion costs are incurred uniformlythroughout the production process. Costing is handled on a FIFO basis Required:a. Prepare a production cost worksheet using 5 steps approach.b. Under what conditions would a process costing system be more appropriate than a job order costing system? Explain.