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
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
You might be interested in
Wilson Co. has three segments -- Tennis, Golf, and Fishing. The Tennis segment is currently producing 2,000 units annually. The
frutty [35]

Answer:

$400,000

Explanation:

Calculation to determine the differential revenue if Wilson Co. were to eliminate the Tennis segment

Differential revenue= $200x2,000 units

Differential revenue= $400,000

Therefore the differential revenue if Wilson Co. were to eliminate the Tennis segment will be $400,000

6 0
2 years ago
What must be the price of a $10000 bond with a 6.8% coupon rate, semiannual coupons, and eight years to maturity if it has a yie
Neko [114]

Answer:

Coupon (R) = 6.8% x 10,000 = $680

Face value (FV) = $10,000

Number of times coupon is paid in a year (m) = 2

No of years to maturity = 8 years

Yield to maturity (Kd) = 8% = 0.08

Po = R/2(1- (1 + r/m)-nm) +  FV/ (1+r/m)n m

                      r/m

Po = 680/2(1-(1+0.08/2)-8x2) + 10,000/(1 + 0.08/2 )8x2

                          0.08/2                              

Po = 340(1 - (1 + 0.04)-16)    + 10,000/(1 + 0.04)16

                      0.04                            

Po = 340(1-0.5339) + 10,000/1.8730

                 0.04

Po = 3,961.85 + 5,339.03

Po = $9,300.88

Explanation:

The current market price of a bond is a function of the present value of semi-annual coupon and present value of the face value. The present value of semi-annual coupon is obtained by multiplying the coupon by the present value of annuity factor at 8% for 8 years. The present value of face value is obtained by discounting the face value at the discount factor for 8 years. The addition of the two gives the present value of the bond. All these explanations have been captured by the formula.

3 0
2 years ago
The assets of a company total $738,000; the liabilities, $219,000. what are the net assets?
ziro4ka [17]
739,000 - 219,000 = 520,000

The net assets are assets minus liabilities, so it is $520,000 in this case.
4 0
3 years ago
Problem 5.3 Your birthday is coming up and instead of other presents, your parents promised to give you $2,600 in cash. Since yo
Papessa [141]

Answer:

Ans. The value of investment after 2 years is $3,155.51

Explanation:

Hi, first we need toconvert that 9.80 percent, compounded quarterly into an effective quarterly rate, that is just by dividing by 4, since there are 4 quarters in a year, that is:

r(effective quarterly)= 9.8%/4 =2.45%

Now, since the rate is effective quarterly, the periods (time of the invesmet) has to be in quarters, so we multiply 2 years by 4 and we get 8 quarters.

With all the above information, we can go ahead and use the following formula in order to find the future value of this investment.

FutureValue=PresentValue*(1+r)^{n}

It should all look like this.

FutureValue=2,600*(1+0.0245)^{8}=3,155.51

So, the future value of this investment is $3,155.51

Best of luck.

8 0
3 years ago
transferable skills necessary for successful employment include a:basic skills b:thinking skills c:personal quality d: all of th
Ymorist [56]

The correct answer is D. All of the above

Explanation:

Skills that can be used in multiple jobs or contexts are known as transferable skills. This category of skill covers many types of skills including basic skills such as teamwork, communication or problem-solving; personal quality skills such as honesty, empathy, or ethics; and thinking skills such as making decisions or organizing information. Moreover, these are all transferable skills because it is likely an individual requires these skills despite his profession or role. For example, both a doctor and a secretary might face challenges that require them to make decisions (thinking skill), use ethics to make the best decision (personal quality), and communicate this decision to others (basic skill.)

5 0
3 years ago
Other questions:
  • A new retail associate in another department asks you about the features of the merchandise in his department. you just explaine
    6·1 answer
  • Each Cutco knife goes through 30 steps to ensure that it meets the firm's standards and provides a good value for a premium prod
    9·1 answer
  • What's a possible opportunity cost when you spend $100 on a pair of sneakers?
    12·1 answer
  • A company can test market a product in order to evaluate decisions about e.g, pricing and advertising. In order get reliable inf
    7·2 answers
  • Tony received his bank statement on March 7, showing a balance of $1,669.93. The balance shown in his checkbook was $1,451.06. D
    9·1 answer
  • Suppose the price of a ticket to a lenny kravitz concert is $41 and at that price, the quantity of tickets demanded is 17,000 pe
    12·1 answer
  • Which of the following is useful for making rational choices?
    6·2 answers
  • The Harrisburg Store has net working capital of $2,715, net fixed assets of $22,407, sales of $31,350, and current liabilities o
    10·1 answer
  • Equipment that cost $660,000 and has accumulated depreciation of $300,000 is exchanged for equipment with a fair value of $480,0
    9·1 answer
  • An asset is classified as goodwill on the balance sheet when a company purchases an asset at greater than fair market value.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!