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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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Answer:

The correct answer is "$ 30.34".

Explanation:

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⇒  \frac{Dividend \ in \ year \ 3}{(1 + Required \ return \ rate)2}  + \frac{Dividend \ in \ year \ 4}{(1 + Required \ return \ rate)3}  + \frac{Dividend \ in \ year \ 5}{(1 + Required \ return \ rate) 4 } + \frac{1}{(1 + Required \ return \ rate)4 }\times [\frac{( Dividend \ in \ year \ 5 (1 + Growth \ rate)} {( Required \ return \ rate - Growth \ rate)}]

On putting the values, we get

⇒  \frac{1.50}{1.08^2}  + \frac{1.60}{1.08^3}  + \frac{1.75}{1.08^4 } + \frac{1}{1.08^4} \times [  \frac{( 1.75\times 1.03)}{(0.08 - 0.03)}]

⇒  \frac{1.50}{1.08^2 } + \frac{1.60}{ 1.08^3 } + \frac{37.80}{ 1.08^4  }

⇒  30.34 ($)

8 0
3 years ago
This year Evan graduated from college and took a job as a deliveryman in the city. Evan was paid a salary of $75,300 and he rece
photoshop1234 [79]

Answer:

Evan's AGI is $ 66,000 and his taxable income is $ 54,000

Explanation:

To calculate the AGI you have to perform the following:

Salary                                                                                                 $ 67,300

work hourly pay                                                                                     <u>$ 700</u>

Gross pay                                                                                             $68,000

Modified AGI                                                                                       $ 68,000

<h3>Student loan interest deduction (2500)-((68000-65000)×(2500/15000)) =                                                    $-2000</h3>

AGI                                                                                                          $66,000

Next, to calculate the taxable income you have the follwong substraction

AGI                            $ 66,000

Standard deduction   $12,000

Personal deduction   <u>       0        </u>

Taxable Income         $ 54,000

4 0
3 years ago
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Answer:

$273,840

Explanation:

The Cost of of an item of Property, Plant and Equipment according to IAS 16 include the purchase price and any directly related costs incurred in bringing the asset in the condition and location for operation as intended by management.

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Purchase Price                                                                                $260,000

Cost after proceeds to demolish old building($11,300 - $1,670)      $9,630

Insurance                                                                                                $830

Legal Fees                                                                                              $420

Property taxes  ( $3,300 - $170)                                                          $3,130

Capitalized Cost                                                                              $273,840

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Answer:

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