16-7 Using the information presented in the following table: Job a b c d e Processing Time per Unit .14 .25 .10 .25 .10 Units per Job 45 14 18 40 75 Setup Time 0.7 0.5 0.2 1.0 0.5 Due Date 4 10 12 20 15 a-1. Identify the processing sequence that would result using (1) First come, first served, (2) Shortest processing time, (3) Earliest due date, and (4) Critical ratio. Sequence for First come, first served (Click to select) Sequence for Shortest processing time (Click to select) Sequence for Earliest due date (Click to select) Sequence for Critical ratio (Click to select) a-2. For each method, determine (1) average job flow time, (2) average job tardiness, and (3) average number of jobs in the system. Jobs are listed in order of arrival. (Hint: First determine the total job time for each job by computing the total processing time for the job and then adding in the setup time. All times and due dates are in hours.) (Round your intermediate calculations and final answers to 2 decimal places.) First Come, First Served Average job flow time Average job tardiness Average number of jobs rev: 11_07_2016_QC_CS-68966 Problem 16-4 Shortest Processing Time Earliest Due Date Critical Ratio Develop an assignment plan that will minimize processing costs, given the information shown, and interpret your answer. (Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.) 1 2 3 4 Job A 12 13 14 10 WORKER B 8 10 9 7 C 11 8 14 12 Optimal Table A B 1 2 3 4 Total cost $ C D Problem 17-16 Chuck's Custom Boats (CCB) builds luxury yachts to customer order. CCB has landed a contract with a mysterious New York lawyer (Mr. T). Relevant data are shown on the next page. The complication is that Mr. T wants delivery in 32 weeks or he will impose a penalty of $375 for each week his yacht is late. Note: No activity can be crashed more than two weeks. CRASHING COSTS Activity K L N M J Q P Y Z End Immediate Predecessor K K L N J,M Q Q P Y,Z Normal Time (weeks) 9 7 5 4 6 5 8 7 6 1st Week $410 125 45 300 50 200 85 90 2nd Week $415 45 350 225 90 Develop a crashing schedule. (Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.) Project Length Shorten Activity 39 wk Crash Cost 38 (Click to select) 37 (Click to select) 36 (Click to select) 35 (Click to select) 34 (Click to select) Problem 17-7 Three recent college graduates have formed a partnership and have opened an advertising firm. Their first project consists of activities listed in the following table. Use Table B. TIME IN DAYS Activity A B C D E F G H I End Immediate Predecessor A C D F B H E, G, I Optimistic 5 8 6 9 5 5 2 4 5 Most Likely 6 8 8 12 6 6 3 4 7 Pessimistic 7 11 11 15 9 7 7 5 8 b. What is the probability that the project can be completed in 24 days or less? In 21 days or less? (Round your te and z values to 2 decimal places and "Standard deviation" to 3 decimal places. Round your final answers to 4 decimal places.) Days Probability 24 days or less 21 days or less c. Suppose it is now the end of the seventh day and that activities A and B have been completed while activity D is 50 percent completed. Time estimates for the completion of activity D are 5, 6, and 7. Activities C and H are ready to begin. Determine the probability of finishing the project by day 24 and the probability of finishing by day 21. (Round your intermediate calculations to 3 decimal places and final answers to 4 decimal places.) Probability Day 24 Day 21