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Ivanshal [37]
2 years ago
13

At a single-phase, multiple-channel service facility, customers arrive randomly. Statistical analysis of past data shows that th

e interarrival time has a mean of 20 minutes and a standard deviation of 4 minutes. The service time per customer has a mean of 15 minutes and a standard deviation of 5 minutes. The waiting cost is $200 per customer per hour. The server cost is $25 per server per hour. Assume general probability distribution and no buffer capacity restriction
Required:
a. Find the optimal number of servers to be employed to minimize the total of waiting and server costs.
b. Find the average waiting time and the average total time through the system for the optimal case.
c. Find the cost per hour, average waiting time, and average flow time for one server if the probability distributions for the interarrival time and service time are assumed to be exponential and the mean values remain the same. .
Business
1 answer:
Trava [24]2 years ago
6 0
Cost per hour with one server = $ 59.00

Cost with 2 servers = $ 52.19

Cost with 2 servers = $ 75.40

Total cost with 2 servers is the lowest ($ 52.19). Therefore, two servers are optimal.

b) With 2 servers,

Average waiting time, Tq = 0.2188 minutes

Total time = Tq+p = 0.2188+15 = 15.2188 minutes

c) Arrival rate, \lambda = 60/20 = 3 per hour

Service rate, \mu = 60/15 = 4 per hour

Lq = \lambda 2/(\mu*(\mu-\lambda)) = 32/(4*(4-3)) = 2.25

Cost per hour = Lq*Cw+Cs = 2.25*200 + 25 = $ 475

Waiting time, Wq = Lq/\lambda = 2.25/3 = 0.75 hour = 45 min

Flow time = Wq+1/\mu = 0.75+1/4 = 1 hour = 60 min
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In countries where inflation is expected to be high, interest rates also will be high, because investors want compensation for t
Degger [83]

Answer:

Fisher effect

Explanation:

Fisher effect is the effect in the economic theory that is established by the economist Irving Fisher, which states the relationship among the inflation and both nominal and the real interest rates.

This effect state that the real rate of interest equals to the nominal rate of interest deduct the expected inflation rate.

So, the relationship which is mentioned in the question is the fisher effect as it state the rate of interest that reflect the expectations likely the future inflation rates.

5 0
3 years ago
Suppose that a store sells candy bars for $0.89 for one and $1.50 for two. The marginal cost of the second candy bar is:
hoa [83]

The marginal cost of the second candy bar is:$0.61.

<h3>Marginal cost</h3>

Using this formula

Marginal cost=Selling price for two-Selling price for one

Where:

Selling price for one=$0.89

Selling price for two=$1.50

Let plug in the formula

Marginal cost=$1.50-$0.89

Marginal cost=$0.61

Inconclusion the marginal cost of the second candy bar is:$0.61.

Learn more about marginal cost here:brainly.com/question/16615264

4 0
2 years ago
ABC provides music for special occasions. On January 14, the Smith family hired ABC for an upcoming family wedding for an agreed
OLga [1]

Answer:

Debit Cash account (with the amount received)

Credit Accounts receivables (with the amount received)

Explanation:

Revenue is not recorded until the recognition criteria for the recognition of  revenue has been met and this includes;

  • the corresponding cost incurred in generating revenue can be reliably measured
  • the goods or service has been delivered

Given that the service was performed in May, when half of the fee was received in April, the required entries then was

Debit Cash account

Credit Unearned revenue (with the amount received being half payment)

when the service was performed in May,revenue was earned

Debit Unearned revenue (with the amount received being half payment)

Debit Accounts receivable  (with the amount yet to be received being half payment)

Credit Revenue (with the amount agreed for the service)

In June when the final payment is received,

Debit Cash account (with the amount received)

Credit Accounts receivables (with the amount received)

3 0
3 years ago
During November, TaskMaster purchased 208,000 pounds of direct materials at a total cost of $436,800. The total factory wages fo
aniked [119]

Answer:

See below

Explanation:

Given the above information,

Direct material price variance is computed as;

= (Actual price - Standard price) × Actual quantity

Actual price = $436,800/208,000

Standard price = $436,800/182,000

Actual quantity = 208,000

Direct material price variance

=[ ($436,800 / 208,000) - ($436,800 / 182,000 ] × 208,000

= ($2.1 - $2.4) × 208,000

= $62,400 unfavourable

8 0
3 years ago
Under which type of revenue stream is the result of ongoing payments (like monthly subscriptions)?
saul85 [17]

Answer:

Recurring is the answer.

Explanation:

8 0
3 years ago
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