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solmaris [256]
3 years ago
8

A small barbershop is operated by a single barber. it has room for at most two customers. potential customers arrive as a poisso

n process with a rate of three per hour, and the successive service times are independent exponential random variables with mean 0.25 hour. find: (a) the average number of customers in the shop. (b) the proportion of potential customers that enter the shop (in the long run). (c) if the barber could work twice as fast, how much more business could he do?
Business
1 answer:
Zigmanuir [339]3 years ago
8 0

λ=3 , mu = 5

<u>Explanation</u>:

λ=3

mu = 5

states

0 - no customers

1- 1 customre

2 - 2 customers

Set up Equations

Rate of entry = Rate of exit

5P1 =3P0

5P2 + 3P0 = 5P1 + 3P1

3P1 = 5P2

P0 + P1 + P2 = 1

solve the above

1a) = 0 into P0 plus 1 into P1 plus 2 into P2

b) λ ( 1 minus P2) by λ = 1 - P2

c) change the paramater mu = 5 into 2 and solve a) again

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icang [17]

Answer:

Production budget:

Projected sales= 64,000

Ending inventory= 7,000

Beginning inventory= (2,600)

Total= 68,400 units

Explanation:

Giving the following information:

Pasadena Candle Inc. projected sales of 64,000 candles for January. The estimated January 1 inventory is 2,600 units, and the desired January 31 inventory is 7,000 units.

Production budget= projected sales + ending inventory - beginning inventory

Production budget:

Projected sales= 64,000

Ending inventory= 7,000

Beginning inventory= (2,600)

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3 0
3 years ago
A __ in the money supply will cause interest rates to decrease, which, in turn, causes spending to__
gogolik [260]

Answer:

A <u>increase</u> in the money supply will cause interest rates to decrease, which, in turn, causes spending to <u>increase.</u>

7 0
3 years ago
Read 2 more answers
This problem has been solved!
velikii [3]

hey there!:

1)

a) Amount of credit the company would receive against the FUTA tax for its SUTA contributions = 2896.21

(56900*3.1%*90%)+(56900*(5.4%-3.1%)) = 2896.21

b)  Amount that Peroni Company would pay to the federal government for its FUTA tax = 517.79

(56900*6%)-2896.21 = 517.79

c) Amount that the company lost because of its late payments = 176.39

=517.79-(3414-1763.9-1308.7) = 176.39

Hope that helps!

4 0
3 years ago
Q 3.35: paulson oil account balances at january 31st include: cash $70,000, accounts receivable $100,000, common stock $120,000
AleksAgata [21]
Cash Balance at the beginning of February:
70,000
Collected $25,000 of AR:
+25,000
Paid 10,000 owed
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Cash Balance at the end of February:
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7 0
3 years ago
A bank loans money at an annual rate of 20 percent. Interest is compounded daily. What is the actual rate the bank is charging?
NeX [460]

Answer:

22.13%

Explanation:

The effective annual rate formula below can be used to determine the actual rate charged by the bank as follows:

Effective annual rate=(1+APR/n)^n-1

APR=20%

n=number of times interest is computed yearly=365

Effective annual rate=(1+20%/365)^365-1

Effective annual rate=1.221335858 -1

Effective annual rate=22.13%

The actual rate of interest on bank loan is 22.13%

8 0
3 years ago
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