Introduction to Operations Management Answer Key Part 8

For output to equal projected demand, what will be the idle time at the second workstation of the assembly line that uses the minimum number of workstations? A. 0 seconds B. 1 second C. 2 seconds D. 3 seconds E. 5 seconds 144. A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load per metre moved. An analyst has prepared the following distances and flow matrices: From/To I II III DISTANCES (metres) I II 10 - FLOW’s (loads per week) III From/To X Y 20 X 60 10 Y 40 -Z 110 140 Z 90 160 - What is the distance (in metres) from area III to area I in this new facility? A. 0 B. 10 C. 20 D. 30 E. 40 145. A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load per metre moved. An analyst has prepared the following distances and flow matrices: From/To I II III DISTANCES (metres) I II 10 - FLOW’s (loads per week) III From/To X Y 20 X 60 10 Y 40 -Z 110 140 Z 90 160 - What is the total flow (loads per week) between department Y and department Z? A. 140 B. 160 C. 200 D. 250 E. 300 146. A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load per metre moved. An analyst has prepared the following distances and flow matrices: From/To I II III DISTANCES (metres) I II 10 - FLOW’s (loads per week) III From/To X Y 20 X 60 10 Y 40 -Z 110 140 Z 90 160 - If departments X, Y, and Z were to be located in areas I, II, and III, respectively, what would be the total distance (in metres) loads would be moved each week? A. 4,000 B. 4,500 C. 7,000 D. 8,000 E. 9,000 147. A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load per metre moved. An analyst has prepared the following distances and flow matrices: From/To I II III DISTANCES (metres) I II 10 - FLOW’s (loads per week) III From/To X Y 20 X 60 10 Y 40 -Z 110 140 Z 90 160 - What are total weekly costs for the least costly process layout? A. $2,800 B. $3,150 C. $3,500 D. $4,000 E. $4,500 148. A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load per metre moved. An analyst has prepared the following distances and flow matrices: From/To I II III DISTANCES (metres) I II 10 - FLOW’s (loads per week) III From/To X Y 20 X 60 10 Y 40 -Z 110 140 Z 90 160 - How many least costly process layouts are there? A. 1 B. 2 C. 3 D. 4 E. 5 149. A company needs to locate three departments (X, Y, and Z) in the three areas (1, 2, and 3) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load metre moved. An analyst has prepared the following flow and distance matrices: From/To 1 2 3 DISTANCES (metres) 1 2 10 - FLOW’s (loads per week) 3 From/To X Y 20 X 0 10 Y 30 -Z 100 130 Z 80 150 - What is the distance (in metres) from area 3 to area 1 of this new facility? A. 0 B. 10 C. 20 D. 30 E. 40 150. A company needs to locate three departments (X, Y, and Z) in the three areas (1, 2, and 3) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load metre moved. An analyst has prepared the following flow and distance matrices: From/To 1 2 3 DISTANCES (metres) 1 2 10 - FLOW’s (loads per week) 3 From/To X Y 20 X 0 10 Y 30 -Z 100 130 Z 80 150 - What is the total flow (loads per week) between department Y and department Z? A. 130 B. 150 C. 180 D. 230 E. 280 151. A company needs to locate three departments (X, Y, and Z) in the three areas (1, 2, and 3) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load metre moved. An analyst has prepared the following flow and distance matrices: From/To 1 2 3 DISTANCES (metres) 1 2 10 - FLOW’s (loads per week) 3 From/To X Y 20 X 0 10 Y 30 -Z 100 130 Z 80 150 - If the company were to locate departments X, Y, and Z in areas 1, 2, and 3, respectively, what would be the total distance (in metres) loads would be moved each week? A. 3,100 B. 3,600 C. 6,200 D. 6,700 E. 8,200 152. A company needs to locate three departments (X, Y, and Z) in the three areas (1, 2, and 3) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load metre moved. An analyst has prepared the following flow and distance matrices: From/To 1 2 3 DISTANCES (metres) 1 2 10 - FLOW’s (loads per week) 3 From/To X Y 20 X 0 10 Y 30 -Z 100 130 Z 80 150 - What is the layout that will minimize the total distance loads will be moved each week? A. X in 1; Y in 2; Z in 3 B. X in 1; Z in 2; Y in 3 C. Y in 1; X in 2; Z in 3 D. Z in 1; X in 2; Y in 3 E. Z in 1; Y in 2; X in 3 153. A company needs to locate three departments (X, Y, and Z) in the three areas (1, 2, and 3) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load metre moved. An analyst has prepared the following flow and distance matrices: From/To 1 2 3 DISTANCES (metres) 1 2 10 - FLOW’s (loads per week) 3 From/To X Y 20 X 0 10 Y 30 -Z 100 130 Z 80 150 - What are total weekly costs for an optimum layout? A. $2,600 B. $3,600 C. $6,200 D. $7,200 E. $8,200 154. A consultant needs to locate four departments-waiting room (W), checkup room (c), laboratory (L), and exercise room (E)-in four areas (I, II, III, IV) of a new facility. He wants to minimize interdepartmental transportation costs associated with the nurses escorting patients, which he expects to be $.10 per patient per metre. He has prepared the following distance and flow matrices: From/To I II III IV DISTANCES (metres) I II III 5 10 5 - FLOW’s (loads per week) IV From/To W C L 20 W 80 50 10 C 100 0 5L 30 20 -E 18 5 20 W 0 5 38 - What is the distance (in metres) from area IV to area II in this new facility? A. 0 B. 5 C. 10 D. 15 E. 20 155. A consultant needs to locate four departments-waiting room (W), checkup room (c), laboratory (L), and exercise room (E)-in four areas (I, II, III, IV) of a new facility. He wants to minimize interdepartmental transportation costs associated with the nurses escorting patients, which he expects to be $.10 per patient per metre. He has prepared the following distance and flow matrices: From/To I II III DISTANCES (metres) I II III 5 10 5 - FLOW’s (loads per week) IV From/To W C L 20 W 80 50 10 C 100 0 30 20 5L W 0 5 38 IV -E 18 5 20 - What is the total flow (patients per week) between department W and department L? A. 70 B. 80 C. 88 D. 130 E. 148 156. A consultant needs to locate four departments-waiting room (W), checkup room (c), laboratory (L), and exercise room (E)-in four areas (I, II, III, IV) of a new facility. He wants to minimize interdepartmental transportation costs associated with the nurses escorting patients, which he expects to be $.10 per patient per metre. He has prepared the following distance and flow matrices: From/To I II III IV DISTANCES (metres) I II III 5 10 5 - FLOW’s (loads per week) IV From/To W C L 20 W 80 50 10 C 100 0 5L 30 20 -E 18 5 20 W 0 5 38 - How many different process layouts are possible for this new facility? A. 4 B. 6 C. 16 D. 24 E. 120 157. A consultant needs to locate four departments-waiting room (W), checkup room (c), laboratory (L), and exercise room (E)-in four areas (I, II, III, IV) of a new facility. He wants to minimize interdepartmental transportation costs associated with the nurses escorting patients, which he expects to be $.10 per patient per metre. He has prepared the following distance and flow matrices: From/To DISTANCES (metres) I II III FLOW’s (loads per week) IV From/To W C L W I II III IV - 5 - 10 5 - 20 W 10 C 5L -E 100 30 18 80 20 5 50 0 20 0 5 38 - If the consultant were to locate departments W, C, L, and E in areas I, II, III, and IV, respectively, what would be total weekly costs? A. $114 B. $217 C. $255 D. $322 E. $366 158. A consultant needs to locate four departments-waiting room (W), checkup room (c), laboratory (L), and exercise room (E)-in four areas (I, II, III, IV) of a new facility. He wants to minimize interdepartmental transportation costs associated with the nurses escorting patients, which he expects to be $.10 per patient per metre. He has prepared the following distance and flow matrices: From/To I II III IV DISTANCES (metres) I II III 5 10 5 - FLOW’s (loads per week) IV From/To W C L 20 W 80 50 10 C 100 0 5L 30 20 -E 18 5 20 W 0 5 38 - What are total weekly costs for the least costly process layout? A. $114 B. $217 C. $255 D. $322 E. $366 Short Answer Questions 159. Management wants to design an assembly line that will turn out 800 adult games per day. There will be eight working hours in each day. The industrial engineering staff has assembled the information below: Task a Time (min.) Immediate Predecessor .2 none b c d e f g h I .2 a .4 none .1 none .3 c,d .2 b,e .1 none .2 f,g .6 h Determine the maximum and minimum cycle times. (i) Determine the optimum cycle time. (ii) What is the minimum number of stations needed? (iii) Draw the precedence network. (iv) Assign tasks to stations in order of most following tasks first. (i) Maximum cycle time is 2.3 minutes; minimum cycle time is .6 minutes. CT = = (ii) N = (iii) A C D G = = \ / ---- = 3.83, which becomes 4 B E \ / F \ --- -- --- / H I (iv) Workstation Assign Task 1 C, D, G 2 A, E 3 B, F, H 4I Or: Idle Time .0 .1 .0 .0 1 A, C 2 D, B, E 3 F, G, H 4I .0 .0 .1 .0 160. Determine the minimum number of workstations needed for this situation: Operating time is 450 minutes per day. Desired output is 80 units per day. The sum of task times is 56 minutes. N= = = 9.96. Therefore, 10 stations are needed. 161. Given the following data: Station 1 2 3 4 StationTime (min) 4.2 4.7 4.4 4.8 Cycle time = 5.1 min Determine the percentage idle time. (i) Compute the station idle time and the total idle time per cycle: Station 1 2 3 Stationtime 4.2 4.7 4.4 Idle Time .9 .4 .7 4 4.8 .3 2.3 (ii) Percent idle time = = = .1127, or 11.27% 162. Given the following process layout data for locating six departments in the six areas shown: I Department I - II E III X IV X V E VI A FACILITY II III IV V VI - E - E A - A E E - A X X 1 4 2 5 3 6 - What process layout(s) satisfy(ies) these closeness ratings? Any layout with I and VI at one end of the facility, III and IV at the other end, and II and V in the middle I VI V II III IV