1.In the face game, OP1 can draw 38 circles in 6 minutes, OP2 can do 62 faces in
ID: 470631 • Letter: 1
Question
1.In the face game, OP1 can draw 38 circles in 6 minutes, OP2 can do 62 faces in 6 minutes, OP3 can add hair to 18 faces in 6 minutes. Who is the bottleneck? Only fill in 1 or 2 or 3.
2.In the face game, OP1 can draw 15 circles in 3 minutes, OP2 can do 22 faces in 3 minutes, OP3 can add hair to 34 faces in 3 minutes. What is TEAM capacity in faces per minute? Only fill in the number with two decimal points. No formula, no unit, and no explanation. For example, if your answer is 3.456 faces per minute, do the rounding and fill in 3.46 as the answer. Please do the rounding until the last step to make sure your number is accurate.
3.A bakery last month paid $2,832 as the rental expense. During the month, the store consumed $1,025 in paper goods and $1,796 in raw materials. The store has 2 employees and a supervisor. The supervisor monthly salary is $5,000 and the employees are paid $2,000 per person a month. Last month, the store made $17,806 in sales. Tell the revenue per dollar spent. Just fill in the number, no unit, no formula, no explanation, and no %. Keep two decimal points. For example, if your answer is $2.1456 per dollar spent, fill in as 2.15. Do the rounding only at the last step to make sure your number is accurate enough.
4.Consider a process that has 3 stations, ordered in sequence: A, B and C. At each station, two consecutive tasks are performed one after the other. The time (in seconds per unit) it takes for a single person to perform each task is given in the table below (e.g., task A2 takes 10 seconds per unit):
Station
# of
Workers
Task A1
Task
A2
Task
B1
Task
B2
Task
C1
Task C2
A
1
20
10
-
-
-
-
B
2
-
-
40
40
-
-
C
1
-
-
-
-
15
5
The table also gives the number of workers at each station. What is the capacity of this process (in units per minute)?
Station
# of
Workers
Task A1
Task
A2
Task
B1
Task
B2
Task
C1
Task C2
A
1
20
10
-
-
-
-
B
2
-
-
40
40
-
-
C
1
-
-
-
-
15
5
Explanation / Answer
Op 3 is the bottle-neck because it has the lowest rate of work. Team Capacity is 15 faces in 9 minutes = 1.67 faces per minute. Total expense = $14,653 (obtained by adding all expenses) and Total Revenue = $17,806. Thus Revenue per dollar spent = 17,806 / 14,653 = 1.22 Task A = 20 + 10 = 30 Seconds, Task B = (40+40)/2 = 40 Seconds, Task C = 15 + 5 = 20 Seconds, Thus Total time = 30 + 40 + 20 = 90 seconds per unit. Hence, capacity = 60/90 = 0.67 units / minute.
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