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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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Outose Concept manufactures small tables in its Processing Department. Direct materials are added at the initiation of the produ
True [87]

Answer:

C) $25,177

Explanation:

Spoiled units = (22,300 units + 76,400) - (72,900 units + 19,000)

=$98,700units -$91,900 units

= 6800 units

Normal spoilage = 5% × 72,900 units

= 3,645 spoiled units

Abnormal spoilage = 6800 units - 3645 units

= 3,155 units

Direct Materials ,Conversion Costs

WIP, beginning inventory$156,000$77,200

Costs added

during period 224,400 299,000

Total cost to account for 380,400 376,200

Divide by equivalent units*98,700 91,100

Equivalent-unit costs $3.85 $4.13

Equivalent unit

Direct Materials: 22,300 + 76,400 = 98,700 units

Conversion Costs: 72,900 + (19,000 x 60%) + 6800 = 91,100 units

Total cost per equivalent unit = $3.85 + $4.13 = $7.98

3155 units × $7.98 = $25,177

Therefore the cost allocated to abnormal spoilage using the weighted-average process-costing method will be $25,177

4 0
2 years ago
Deep Hollow Oil issued 135,000 shares of stock last week. The underwriters charged a spread of 8.05 percent in exchange for agre
Neporo4naja [7]

Answer:

The ratio of flotation cost to funds raised is 20.13%

Explanation:

First of all, it is noteworthy that actual amount received per share by Deep Hollow Oil is the issue price minus the underwriting spread of $2.6565 (8.05% of $33),in other words the net issue price is $30.3435

The total amount raised is $ 4,096,372.50 (135000*$30.3435 ),while total flotation costs are as follows:

Underwriting costs                    $ 358,627.50  

Legal and accounting fees       $418,000

Indirect costs                              $48,000

Total flotation costs                   $824,627.50  

However, the flotation costs as a percentage of funds raised is given below:

$824,627.50  /$4,096,372.50=20.13%

6 0
3 years ago
In a financial sector, we use ______ to construct financial instruments such as derivatives.
Anettt [7]

Answer:

Predictive models

Explanation:

Predictive modeling uses statistics to predict outcomes. It can be applied to any type of unknown event, regardless of when it occurred.

3 0
3 years ago
Lacey Company prepared the tabulation below at December 31, 2022. Net Income $310,000
valentinak56 [21]

Answer:

Net cash provided by operating activities is $325,000.

Explanation:

Lacey Company

Cash Flow Statement (Operating Activities Only)

December 31, 2022.

<u>Details                                                                       Amount ($)</u>

Net Income                                                                   310,000

Depreciation expense                                                  45,000

Increase in accounts receivable                                 (55,000)

Decrease in inventory                                                   12,000

Increase in accounts payable                                        6,000

Increase in prepaid expenses                                      (4,000)

Decrease in income taxes payable                               3,500

Gain on disposal of land                                                <u> 7,500 </u>

Net cash provided (used) by operating activities  <u> 325,000 </u>

5 0
3 years ago
Mango Company applies overhead based on direct labor costs. For the current year, Mango Company estimated total overhead costs t
erastovalidia [21]

Answer:

Balance for the Factory Overhead account: 19,000 credit

Explanation:

We will first, calculate the overhead rate based on the predetermination overhead rate:

\frac{Cost\: Of \:Manufacturing \:Overhead}{Cost \:Driver}= Overhead \:Rate

The total manufacturing cost will be distributed over the cost driver. In this case, labor cost:

360,000/180,000 = 2 overhead rate

Then, we calculate the applied overhead 203,000 x 2 = 406,000

Now, the balance for factory overhead account:

Actual overhead: 387,000 debit

        payable, accumulated depreicaiton and other 387,000 credit

WIP 406,000 debit

Applied Overhead 406,000 credit

Balance:

406,000 - 387,000 = 19,000 credit

8 0
3 years ago
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