1. There is a carpet cleaning company with each employee works 160 hours per month and gets paid $10 per hour. On average, the company can clean 154 carpets per month, with 5 employees. To clean each carpet manually, about 8 liters of cleaning solvent is needed. The cost of the cleaning solvent is 16 dollars per liter. Please calculate the company's material (cleaning solvent) productivity (unit/$).

2. A company currently produces an average of 55 lamps a day. The material cost in the lamp production is $10 per lamp. The companys utility cost is 19 dollars per day. It currently has 11 employees, who work 8 hours a day and get paid $15 per hour per employee. Please calculate the company's total productivity (unit/$).

Numbers only; keep three decimals if not exact; either round up or down is ok.

3. There are six tasks in an assembly line, from which a product with a relative stable demand is produced. The time needed for each task (in minutes) and the relationships among tasks are in the graph below (note that activity C is linked to activity E). The assembly line operates 8 hours a day. The daily customer demand for the product is 60 units. Please design/balance this assembly line, so that supply and demand would be matched the most efficiently way possible.

• A (5) ----> B (3) ----> D (1) ----> E (1) -----> F (2)
• C (2)------------------------------>

1. What is the desired cycle time (in minutes) of the balanced assembly line? (input should be an exact number)
2. Assumed the desired cycle time is 6 minutes, please used the assumed CT value to calculate the minimum number of workstations needed for line-balancing, in order to achieve the best process efficiency. (input should be an integer number)
3. Assumed the desired cycle time is 6 minutes, please used the assumed CT value to balance the assembly line using the greatest positional weight rule. Which tasks would be assigned to the last workstation? (Letter only, NO space or comma between letters, e.g., ABDE)