1. (75 points) Powers Inc. produces bicycles on a conveyor belt. The company operates 7.5 hours per day and 6 days a week. Hourly wage for associates is $25. a. (5 points) What is the total labor content (minutes per bicycle)? (Please check your dataset for the task times.) Task 1 2 34 5 6 7 8 9 10 11 12 13 114 Task 4 10 6 10 4 5 9 10 7 11 6 5 5 6 time (in min) Task 15 16 17 18 19 20 21 22 23 24 25 26 27 28 28 29 30 Task 11 6 time 4 7 10 7 10 8 8 6 10 5 00 8 7 5 9 (in min) Assume that the tasks are partitioned among three associates as displayed in Table 1. Answer the following questions based on the assignments in Table 1. Tasks 1 to 8 Associate 1 Associate 2 Tasks 9 to 22 Associate 3 Tasks 23 to 30 Table 1. Task assignments. b. (5 points) What is the production capacity per week? c. (5 points) Assume that the demand is unlimited, and you produce at your maximum capacity (capacity constrained process). What would be the direct labor cost (in $ per bicycle)? d. (5 points) State the idle times for each associate. e. (5 points) Compute the utilization of each associate. f. (5 points) Re-assign tasks to maximize the capacity of the line subject to the conditions that an associate can only perform adjacent tasks and all tasks need to be done in their numerical order. g. (5 points) What would be the direct labor cost (in $ per bicycle) for your proposed assignment in part f