IntroductionThis document contains 10 practice problems designed to test your understanding ofproduction line optimization. Each problem involves a set of tasks with given times andpredecessor relationships, a production target, and a shift duration. You are requiredto calculate the cycle time and the minimum number of workstations needed. Use thefollowing formulas:Cycle Time (CT)= Total shift time -: Garments per shiftMinimum Workstations = Total task time -: Cycle time (rounded up)Answers should be rounded to two decimal places where applicable. Good luck!1 Problem 1: Electronics Assembly LineAn electronics factory assembles circuit boards with the following tasks:Additional Information:Target: 150 circuit boards in an 8-hour shift (480 minutes).Optimize the production line to use the minimum number of workstations.Tasks:a) Calculate the cycle time required to meet the production goal. Round to twodecimal places.b) Determine the minimum number of workstations needed within the cycle time.2 Problem 2: Furniture ManufacturingA furniture factory produces chairs with the following tasks:Additional Information:Target: 100 chairs in a 10-hour shift (600 minutes).Optimize the production line to use the minimum number of workstations.Tasks:a) Calculate the cycle time required to meet the production goal. Round to twodecimal places.b) Determine the minimum number of workstations needed within the cycle time.3 Problem 3: Toy Production LineA toy factory manufactures dolls with the following tasks:Additional Information:Target: 200 dolls in a 7-hour shift (420 minutes).Optimize the production line to use the minimum number of workstations.Tasks:a) Calculate the cycle time required to meet the production goal. Round to twodecimal places.b) Determine the minimum number of workstations needed within the cycle time.4 Problem 4: Automotive Parts AssemblyAn automotive factory assembles car components with the following tasks:Additional Information:Target: 90 components in a 9-hour shift (540 minutes).Optimize the production line to use the minimum number of workstations.Tasks:a) Calculate the cycle time required to meet the production goal. Round to twodecimal places.b) Determine the minimum number of workstations needed within the cycle time.5 Problem 5: Packaging LineA packaging facility prepares boxes with the following tasks:Additional Information:Target: 180 boxes in an 8-hour shift (480 minutes).Optimize the production line to use the minimum number of workstations.Tasks:a) Calculate the cycle time required to meet the production goal. Round to twodecimal places.b) Determine the minimum number of workstations needed within the cycle time.6 Problem 6: Food Processing LineA food processing plant prepares meals with the following tasks:Additional Information:Target: 120 meals in a 6-hour shift (360 minutes).Optimize the production line to use the minimum number of workstations.Tasks:1a) Calculate the cycle time required to meet the production goa