Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- 6. A shipping building construction project company consists of the following twelve jobs whose precedence relations are identified with their node numbers: Jobs (i-) : 13 23 24 3-5 4-6 48 5-6 6 7- 8- 1-3 2-3 2-4 3-5 4-6 4-8 8 9 Duration s (in | days) 10 18 5 10 12 18 10 8 4 10 10 5 b. Find critical path and duration of the project. C. Find EST EFT LST and LFT d. Determine Total floats.arrow_forwardActivity 5: Linear Programming – Graphical Method Solve the following Linear Programming problems using the graphical method. Use the PHPSimplex application software. 1. An appliance manufacturer produces two models of televisions: Colored TV and B&W TV. Both models require fabrication and assembly work; each colored TV uses four hours of fabrication and two hours of assembly; each B&W TV uses two hours of fabrication and two hours of assembly. There are 600 hours fabrication available per week and 480 hours available of assembly. Each colored TV contributes P1200 to profit and each B&W TV contributes P900 to profits. How many-colored TV and B&W TV must the manufacturer produce in order to maximize the profit? 2. An animal food producer mixes two types of animal food: X and Y. Each unit of X costs P100 and contains 40 grams of fat, 20 grams of protein and 1600 calories. Each unit of Y costs P80 and contains 60 grams of fat, 60 grams of protein and 1200 calories. Suppose the producer…arrow_forwardGerald 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: LOADING... Day M T W Th F S Su Requirements 6 3 5 3 7 2 3 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…arrow_forward
- 3.- John must determine if the $22.50 cost of theater tickets will be enough for the group to break even with a capacity of 175 people. The cost of each performance is 2,500 and 10 are performed during the day. The rental cost is $10,000. The cost of drinks and parking are extra charges and are listed below: Ticket Drinks Parking Sale price $22.50 $5.00 $5.00 Variable cost $10.50 $1.75 $2.00arrow_forwardConsider the problem of assigning five jobs to five persons. The assignment costs are given as follows. Determine the optimum assignment schedule.arrow_forwardINTRODUCTION TO OPERATIONS RESEARCH QUESTION PLEASE ANSWER THE ASSIGNMENT PROBLEM USING THE COST MATRIXarrow_forward
- sniparrow_forwardx # GT E 4. Firewall Project XT. Using the "complexity weighting" scheme shown in Table 5.3 and the function point complexity weight table shown below, estimate the total function point count. Assume historical data suggest five function points equal one person a month and six people can work on the project. I Complexity Weight Table Number of inputs 10 Rated complexity low Number of outputs 20 Rated complexity average Number of inquiries 10 Rated complexity average Number of files 30 Rated complexity high Number of interfaces 50 Rated complexity high a. What is the estimated project duration? Add a caption... Status (51 excluded)arrow_forward3. Certain equipment needs 5 repair jobs which have to be assigned to 5 machines. The estimated time (in hours) that a machine requires to complete the repair job is given in the table. Assuming that each machine can be assigned only one job. Read the above scenario and answer the following questions. a) Solve the assignment problem using Hungarian Method. b) Determine the minimum time assignment. M1 M2 M3 M4 M5 J1 7 9 8 4 J2 5 12 5 ال 6 J3 J4 J5 9 8 11 7 11 10 4 6 9 6 9 5 7 4 11arrow_forward
- 7. Using the assembly-line balancing procedures for any assembly-line balancing problem, which of the following is most correct? Multiple Choice The theoretical minimum number of workstations is always less than number of workstations actually used. The theoretical minimum number of workstations is sometimes more than number of workstations actually used. The theoretical minimum number of workstations is sometimes less than Y and sometimes more than number of workstations actually used. The theoretical minimum number of workstations is always less than or equal to number of workstations actually used. The theoretical minimum number of workstations is never less than number of workstations actually used.arrow_forwardSituation: One other significant problem plagued the engineering departments at TRP. Because ofpast salary increase practices, there is now a high salary gap between the engineermanagement levels and the engineering designers. For the same long working hours, thoseworking in the operational levels (e.g., payroll, accounting, HR) made almost 15 times less thanthe engineering designers. These same operational level employees also made 25 times lessthan the engineering management groups. Alternative Courses of Action for payment gap between workers with the same working hours: ? Pros: ? Cons: ?arrow_forward11-19 The Laurenster Corporation needs to set up an assembly line to produce a new product. The following table describes the relationships among the activities that need to be completed for this product to be manufactured. Modified Problem 11-19: Solve the problem, assuming the following data has changed for 3 activities: - Activity A: a = 4; m =7; b =6 - Activity B: a = 6; m = 9; b = 12 - Activity I: a = 4; m = 5; b = 7 Note to correct a textbook typo: Immediate Predecessors for Activity H are: E, F and G a) Develop the project network for this problem. b) Determine the expected duration, variance and standard deviation for each activity. c) Determine ES, EF, LS, LF and slack time for each activity. d) Determine the total project completion time and critical path(s). e) Determine the probability that the project will be completed in 34 days or less. f) Determine the probability that the project will take longer than 29 days or less.arrow_forward
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