Please show all work

Consider a process consisting of three resources. Each resource is staffed by one worker. Assume the demand rate is 10 units per hour. Resource #1 has a processing time of 5 minutes per unit. Resource #2 has a processing time of 4 minutes per unit. Resource #3 has a processing time of 2 minutes per unit. 3. What is the ideal cycle time to meet the demand? (15 Points) 4. Assume the workers are paid $12 per hour. What is the cost of direct labor per unit? (15 Points) 5. What is the average labor utilization of the process? (20 Points) 6. What would be the flow rate of the process if they were able to reduce the processing time at the bottleneck by 30%? (20 points)