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1a. A time study was conducted on a job that containes eight elements. The observed times and performance ratings for eight cycles are shown in Table 1. The observed times were measured in minutes and the elements are successively performed by a single worker to form a cycle. Assume that one product is produced at the end of each cycle i) Determine the average cycle time for each element 14 Mark) in Calculate the normal time for each element [4 Markl Assuming an allowance factor of 13% of job time, calculate the standard time for the task [ Mark iv) if a customer's daily demand for the product is 100 parts, what would be the task time? [ Mark] v) Assuming an 8-hour shift and that one product is produced at each cycle, what will be the total quantity of the products? Would it be adequate to satisfy the demand? (1 mark] Page 1 of 5 EO Essando 1 vi) A worker produced 85 products per day. Would his production output be within 95% confidence limit, determined by the standard deviation Assume that the cycle times are independent and sample standard deviation is used (3 Marks Tablel: Eight Elements Job Element Performance 1 8 rating 8096 0.42 0.44 0.46 0.50 0.48 0.47 0.49 0.43 2 85% 0.78 0.80 0.84 0.86 0.90 0.94 0.82 0.92 3 95% 1.50 1.52 1.56 1.54 1.57 1.58 1.54 1.59 4 100% 0.81 0.83 0.85 0.86 0.89 0.87 0.82 0.88 5 106% 0.91 0.93 0.92 0.94 0.96 0.98 0.97 0.95 110% 1.10 1.14 1.21 1.18 1.15 1.17 1.24 1.26 7 115% 1.31 1.33 1.36 1.32 1.34 135 1.37 1.38 8 120% 0.72 0.73 0.76 0.77 0.78 0.79 0.75 0.80 1b. A work cycle was divided into 20 elements and time study conducted on it with the aim of rating a worker using the synthetic rating system. The average observed times for the elements are given in Table 2. Supposing that manually controlled elements 2, 3, 4, 6, 8, 9, 10, 12, 17 and 18 were selected and assigned Predetermined Motion Time (PMT) as shown in Table 3. Cakulate. i) the total observed time of the work cycle in the normal cycle time iii) the standard time for doing the work if the performance rating of the selected worker is taken as 95% and the work allowance fraction is 15% [5 Marks 16. A work cycle was divided into 20 elements and time study conducted on it with the aim of rating a worker using the synthetic rating system. The average observed times for the elements are given in Table 2. Supposing that manually controlled elements 2, 3, 4, 6, 8, 9, 10, 12, 17 and 18 were selected and assigned Predetermined Motion Time (PMT) as shown in Table 3. Cakulate, i) the total observed time of the work cycle in the normal cycle time iii) the standard time for doing the work if the performance rating of the selected worker is taken as 95% and the work allowance fraction is 15% (5 Marks Page 2 of EO Essando Table 2: Twenty Elements Work Cycle 5 7 8 9 10 Element No. M type Element MM MM PMP Average 0.13 0.15 0.17 0.12 0.11 0.18 0.19 0.15 0.16 0.16 actual time Element 11 12 13 14 15 16 17 18 19 20 No. Element P M M F M M M M M M type Average 0.14 0.17 0.17 0.25 0.15 0.12 0.22 0.24 0.16 0.16 actual time (min) Legend: M-manually controlled element P - machine-controlled element Table 3: Predetermined motion times of selected manually controlled elements Element 2 4 6 9 12 17 18 No. 10 0.13 0.16 0.11 0.10 0.14 0.11 0.15 0.13 0.17 0.12 PMT System time (min) 1c. Name any manufacturing company or factory of your choice in Ghana, state its type of production system and justify your choice of production system for your selected company or factory. [5 Marks] 1d. Give four measurable parameters and four physical elements of a manufacturing/production system [4 Marks) 1a. A time study was conducted on a job that containes eight elements. The observed times and performance ratings for eight cycles are shown in Table 1. The observed times were measured in minutes and the elements are successively performed by a single worker to form a cycle. Assume that one product is produced at the end of each cycle i) Determine the average cycle time for each element 14 Mark) in Calculate the normal time for each element [4 Markl Assuming an allowance factor of 13% of job time, calculate the standard time for the task [ Mark iv) if a customer's daily demand for the product is 100 parts, what would be the task time? [ Mark] v) Assuming an 8-hour shift and that one product is produced at each cycle, what will be the total quantity of the products? Would it be adequate to satisfy the demand? (1 mark] Page 1 of 5 EO Essando 1 vi) A worker produced 85 products per day. Would his production output be within 95% confidence limit, determined by the standard deviation Assume that the cycle times are independent and sample standard deviation is used (3 Marks Tablel: Eight Elements Job Element Performance 1 8 rating 8096 0.42 0.44 0.46 0.50 0.48 0.47 0.49 0.43 2 85% 0.78 0.80 0.84 0.86 0.90 0.94 0.82 0.92 3 95% 1.50 1.52 1.56 1.54 1.57 1.58 1.54 1.59 4 100% 0.81 0.83 0.85 0.86 0.89 0.87 0.82 0.88 5 106% 0.91 0.93 0.92 0.94 0.96 0.98 0.97 0.95 110% 1.10 1.14 1.21 1.18 1.15 1.17 1.24 1.26 7 115% 1.31 1.33 1.36 1.32 1.34 135 1.37 1.38 8 120% 0.72 0.73 0.76 0.77 0.78 0.79 0.75 0.80 1b. A work cycle was divided into 20 elements and time study conducted on it with the aim of rating a worker using the synthetic rating system. The average observed times for the elements are given in Table 2. Supposing that manually controlled elements 2, 3, 4, 6, 8, 9, 10, 12, 17 and 18 were selected and assigned Predetermined Motion Time (PMT) as shown in Table 3. Cakulate. i) the total observed time of the work cycle in the normal cycle time iii) the standard time for doing the work if the performance rating of the selected worker is taken as 95% and the work allowance fraction is 15% [5 Marks 16. A work cycle was divided into 20 elements and time study conducted on it with the aim of rating a worker using the synthetic rating system. The average observed times for the elements are given in Table 2. Supposing that manually controlled elements 2, 3, 4, 6, 8, 9, 10, 12, 17 and 18 were selected and assigned Predetermined Motion Time (PMT) as shown in Table 3. Cakulate, i) the total observed time of the work cycle in the normal cycle time iii) the standard time for doing the work if the performance rating of the selected worker is taken as 95% and the work allowance fraction is 15% (5 Marks Page 2 of EO Essando Table 2: Twenty Elements Work Cycle 5 7 8 9 10 Element No. M type Element MM MM PMP Average 0.13 0.15 0.17 0.12 0.11 0.18 0.19 0.15 0.16 0.16 actual time Element 11 12 13 14 15 16 17 18 19 20 No. Element P M M F M M M M M M type Average 0.14 0.17 0.17 0.25 0.15 0.12 0.22 0.24 0.16 0.16 actual time (min) Legend: M-manually controlled element P - machine-controlled element Table 3: Predetermined motion times of selected manually controlled elements Element 2 4 6 9 12 17 18 No. 10 0.13 0.16 0.11 0.10 0.14 0.11 0.15 0.13 0.17 0.12 PMT System time (min) 1c. Name any manufacturing company or factory of your choice in Ghana, state its type of production system and justify your choice of production system for your selected company or factory. [5 Marks] 1d. Give four measurable parameters and four physical elements of a manufacturing/production system [4 Marks)