An office has 5 copy machines that need to be serviced approximately once an hour either for paper, staples, or toner or repair. Each machine therefore runs approximately 1 hour before needing some attention. The average service time is 7 minutes. Copier downtime in this busy office costs approximately $20 per hour. The cost of attendant is $15 per hour. Using the finite queuing analysis, answer the following questions:.
a. What is the average number of copiers in line?
b. What is the average number of copiers still in operation?
c. What is the average number of copiers being serviced?
d. The firm is considering adding another attendant at the same $15 rate. Should the office do it?

a. Average number of copiers in line is 0.275

b. Average number of copiers still in operation is 4.23

c. Average number being serviced is 0.496

d. No, the office should not do it

Explanation:

N = number of copy machines = 5

U = average time between unit service requirements = 1 hour = 60 minutes

T = average service time = 7 minutes

M = number of servers = 1

Cost of copier downtime = $20

Cost of attendant = $15

(a)  Service factor, X = T / (T+U) = 7 / (60+7) = 0.105

From the Finite Queuing Tables for a Population of N = 5,

For X = 0.105 and M=1, the efficiency factor, F = 0.945

So,  The average number waiting in line, L = N × (1 - F) = 5 × (1 - 0.945) = 0.275

(b) Average number in operation, J = N×F×(1 - X) = 5×0.945×(1 - 0.105) = 4.23

(c) Average number being serviced, H = F×N×X = 0.945×5×0.105 = 0.496

(d)  For M=1

The average number of copier down = N - J = 5 - 4.23 = 0.77

So, cost of downtime per hour = $20×0.77 = $15.4

Also, the cost of the server per hour = $15×M = $15×1 = $15

So, total cost = 15.4 + 15 = $30.4 per hour (i)

For M=2

From the Finite Queuing Tables for a Population of N = 5, with X = 0.105 and M=2, the efficiency factor, F = 0.997

J = N×F×(1 - X) = 5×0.997×(1 - 0.105) = 4.46

The average number of copier down = N - J = 5 - 4.46 = 0.54

So, cost of downtime per hour = $20×0.54 = $10.8

Also, the cost of the server per hour = $15×M = $15×2 = $30

So, total cost = 10.8 + 30 = $40.8 per hour (ii)

Comparing (i) and (ii), we can say that having another attendant is not cost-effective.

multiculturalism is a particular subject of debate in certain european nations that are associated with the idea of a single nation within their country. critics of multiculturalism may argue against cultural integration of different ethnic and cultural groups to the existing laws and values of the country.

so yes, multiculturalism can (and usually does) result in the host country/continent losing its culture, identity and linguistics, especially due to the raw numbers of demographic transitions.

explanation:

prokaryotic cells do not contain a nucleus or any other membrane-bound organelle. eukaryotic cells contain membrane-bound organelles, including a nucleus. so i belive the answer is a : p hope it