1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olchik [2.2K]
3 years ago
8

Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration

desk before going to one of three cashiers to pay a fee for the ID card. After that, he/she will visit one of four ID processing stations to have his/her picture taken and ID card printed. Visits to the cashier and ID processing station take 10 and 20 minutes respectively. If the demand rate is 0.125 student per minute, how long does it take to process 20 students assuming the system is full?
A. 100 minutes

B. 152 minutes

C. 160 minutes

D. 184 minutes
Mathematics
2 answers:
kondaur [170]3 years ago
6 0

Answer:

C. 160 minutes

Step-by-step explanation:

The calculation to be made will be to process 20 students

We have, according to the exercise, the following data:

For process 1: Registration table, Number of servers = 1, Time spent = 2 minutes

For process 2: cashier, number of servers = 3, time spent = 10 minutes

For process 3: ID processing station, number of servers = 4, time spent = 20 minutes

Demand rate = 0.125

To solve it, we will look for the capacity that the server has of the previously mentioned processes, calculating the following:

Capacity = Number of students served per minute

We can say that at the registration table we observe:

Time needed to serve 1 student = 2 minutes

Capacity = 0.5 students per minute

With the cashier we analyze the following:

Time needed to serve 1 student = 10 minutes

Number of servers = 3

Capacity = 0.3 students per minute

ID processing station

Time needed to serve 1 student = 20 minutes

Number of servers = 4

Capacity = 0.2 students per minute

When comparing the processes, it is definitely found that the bottleneck is the ID processing station, where it takes more time to serve a student, which leads us to infer that the capacity of the process is comparable to the capacity of the process bottleneck

Process capacity = 0.2 students per minute

Given, demand rate = 0.125 students per minute

We observe that the demand rate is less than the capacity of the process, therefore we can infer that the number of students served during each minute is the same as the demand rate.

In this way we find that:

Number of students served per minute = 0.125

Time needed to serve 1 student = 1 / 0.125 = 8 minutes

Time needed to serve 20 students = 8 x 20 = 160 minutes.

We conclude that the answer is that it will take 160 minutes to serve 20 students.

.

goldfiish [28.3K]3 years ago
6 0

Answer:

C) 160 minutes

Explanation:

Given:

Time spent at registration desk = 2mins

Time spent at the cashier = 10 mins

Time spent at the ID processing station = 20 mins

Number of registration desk = 1

Number of cashiers = 3

Number of ID processing stations = 4

Let's calculate the capacity of each process using the expression: number of agents / process time

Therefore,

Capacity of registration desk =

\frac{1}{2} = 0.5 students per min

Capacity of cashiers =

\frac{3}{10} = 0.3 students per min

Capacity of ID processing stations =

\frac{4}{20} = 0.2 students per min

The process capacity is equal to the bottleneck process. Here, the bottleneck process is the process with the longest time per minute which is the ID processing station.

Therefore, given a rate of 0.125 student per min and Process capacity of 0.2 student per min, we'll take 0.125 as the number of students per minute since it is lower than the process capacity.

Therefore, time taken to serve one student = \frac{1}{0.125} = 8mins

Time taken to serve 20 students would be = 20 * 8 = 160 minutes

You might be interested in
What is the resluf of convertig 14 inches into centimeters? Remember that 1 inch =2.54 centimeters.
stich3 [128]

multiply 14 x 2.54

14 x 2.54 = 35.56 centimeters

6 0
3 years ago
Marcia has a licorice rope that is 28 inches long. She wants to cut it into 3,-inch pieces to share with friends. How many piece
diamong [38]

Answer:

9 pieces

Step-by-step explanation:

28 inches rope cut into 3-inch pieces

  • 28/3 = 9 1/3

There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces

---------

<u>Note:</u>

  • The close answer choice is 8
  • 28/8 = 3 1/2 or 3.5
  • So if cut into 3.5 inch pieces then it is 8 full pieces
  • just in case it was typo 3 instead of 3.5
8 0
3 years ago
Read 2 more answers
A certain species of animal is endangered and it’s numbers are decreasing 12% annually. There are currently 230 animals in the p
Iteru [2.4K]
B:f(x)=230(0.88);121 animals


6 0
3 years ago
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold
Margaret [11]

Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

5 0
3 years ago
PLEASE PLEASE HELP ME!!! Carla rode her bicycle 4 miles to the park and it took her 30 minutes.
White raven [17]

Answer:

30 mins = 0.5 hours

4.5 miles/0.5 hours = your answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • 3. Ben drove his car 467 kilometer in 5 hours while he was on vacation in Italy. He was trying to estimate how far he could driv
    8·1 answer
  • Assign two variables for each problem, and write the equations. Do not solve.
    6·1 answer
  • The graph of which function has a y-intercept of 3 ?
    10·1 answer
  • How to write 5/9 + 5/9 as a mixed number ​
    11·2 answers
  • Need help desperately T~T
    14·1 answer
  • The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side
    8·1 answer
  • Help please :) lol thank u
    5·2 answers
  • Mr. Jansen opend a savings account with an initial deposit of $720 and will not make any additional deposits or withdrawals. The
    14·2 answers
  • H<br> А<br> F<br> 50°<br> 19x<br> 10x - 5<br> G
    13·1 answer
  • A store has 120 customers in 6 hours. What is the unit rate in costumers per hour?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!