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garri49 [273]
3 years ago
9

A single-channel queuing system has an average service time of 10 minutes and an average time between customer arrivals of 15 mi

nutes. Service times and inter-arrival times both have exponential distributions. Find: a.customer arrival rate b.average number of customers in queue c.average time customers spend in the system
Business
1 answer:
amm18123 years ago
7 0

Answer: (a ) 4 per hour (b ) 4.5 minutes (c ) 3 minutes

Explanation:

Average time between customer arrival = 15 minutes

Average service time = 10 minutes

(a) To calculate the customer arrival rate

Arrival rate = 1 / time between Arrival

= 1 / 15

= 0.066 × 60

= 4 per hour

(b) To calculate the average number of customers in queue

( Arrival time )^2 / service time ( service time - Arrival time)

= (15)^2 / 10 ( 10 - 15)

= 225 / 10 (-5)

= 225 / 50

= 4.5 minutes

(c) To calculate the average time customers spend in the system

Arrival time / service time - Arrival time

= 15 / 10 - 15

= 15/ -5

= 3 minutes

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Omega, Inc. sells its fitness wrist band for $100. It cost the company $62 to make the product. While Tom values the Omega wrist
dangina [55]

Answer:

B. each customer's reservation price.

Explanation:

Reservation price is the highest amount a buyer would be willing to pay for a good or service.

I hope my answer helps you

7 0
4 years ago
Read 2 more answers
Plum Corporation began the month of May with $1,400,000 of current assets, a current ratio of 1.90:1, and an acid-test ratio of
matrenka [14]

Answer:

Plum Corporation

(1) current ratio = Current assets/current liabilities

(2) acid-test ratio = (Current asset -Inventory)/Current liabilities

(3) working capital = Current assets minus Current liabilities

(4) acid-test assets = quick assets

May 2 Purchased $75,000 of merchandise inventory on credit.

Current Assets:   $1,400,000 + $75,000 = $1,475,000

Current Liabilities: $737,000 + $75,000 = $812,000

Inventory: $147,000 +$75,000 = $222,000

(1) current ratio = $1,475,000/$812,000

= 1.82:1

(2) acid-test ratio = $1,475,000 - $222,000/$812,000

= 1.54:1

(3) working capital = Current Assets - Current Liabilities

= $1,475,000 - $812,000

= $663,000

May 8 Sold merchandise inventory that cost $55,000 for $150,000 cash.

Current Assets: $1,475,000 -55,000 + 150,000 = $1,570,000

Current Liabilities: $812,000

Inventory: $222,000 - 55,000 = $167,000

Quick Assets = $1,570,000 - 167,000 = $1,403,000

(1) current ratio = $1,570,000/$812,000

= 1.93

(2) acid-test ratio = $1,403,000/$812,000

= 1.73

(3) working capital = $1,570,000 - $812,000

= $758,000

May 10 Collected $26,000 cash on an account receivable.

Current Assets: $1,570,000 ($26,000 - $26,000) = $1,570,000

Current Liabilities: $812,000

Inventory: 167,000

Quick Assets = $1,570,000 - 167,000 = $1,403,000

(1) current ratio = $1,570,000/$812,000

= 1.93

(2) acid-test ratio = $1,403,000/$812,000

= 1.73

(3) working capital = $1,570,000 - $812,000

= $758,000

May 15 Paid $29,500 cash to settle an account payable.

Current Assets: $1,570,000 - $29,500 = $1,540,500

Current Liabilities: $812,000 - $29,500 = $782,500

Inventory: 167,000

Quick Assets = $1,540,500 - 167,000 = $1,373,500

(1) current ratio = $1,540,500/$782,500

= 1.97:1

(2) acid-test ratio = $1,373,500/$782,500

= 1.76:1

(3) working capital = $1,540,500 - $782,500

= $758,000

May 17 Wrote off a $5,000 bad debt against the Allowance for Doubtful Accounts account.

Current Assets: $1,540,500 - $5,000 = $1,535,500

Current Liabilities: $782,500

Inventory: 167,000

Quick Assets = $1,535,500 - 167,000 = $1,368,500

(1) current ratio = $1,535,500/$782,500

= 1.96:1

(2) acid-test ratio = $1,535,500/$782,500

= $1.96:1

(3) working capital = $1,535,500 - $782,500

=$753,000

May 22 Declared a $1 per share cash dividend on its 69,000 shares of outstanding common stock.

Current Assets: $1,535,500

Current Liabilities: $782,500

Inventory: 167,000

Quick Assets = $1,535,500 - 167,000 = $1,368,500

(1) current ratio = $1,535,500/$782,500

= 1.96:1

(2) acid-test ratio = $1,535,500/$782,500

= $1.96:1

(3) working capital = $1,535,500 - $782,500

=$753,000

May 26 Paid the dividend declared on May 22.

Current Assets: $1,535,500 -$69,000 = $1,466,500

Current Liabilities: $782,500

Inventory: 167,000

Quick Assets = $1,466,500 - 167,000 = $1,299,500

(1) current ratio = $1,466,500/$782,500

= 1.87:1

(2) acid-test ratio = $1,299,500/$782,500

= 1.66:1

(3) working capital = $1,466,500 - $782,500

= $684,000

May 27 Borrowed $120,000 cash by giving the bank a 30-day, 10% note.

Current Assets: $1,466,500 + $120,000 = $1,586,500

Current Liabilities: $782,500 + $120,000 = $902,500

Inventory: 167,000

Quick Assets = $1,586,500 - 167,000 = $1,419,500

(1) current ratio = $1,586,500/$902,500

= 1.76

(2) acid-test ratio = $1,419,500/$902,500

= 1.57

(3) working capital = $1,586,500 - $902,500

= $684,000

May 28 Borrowed $135,000 cash by signing a long-term secured note.

Current Assets: $1,586,500 + $135,000= $1,721,500

Current Liabilities: $902,500

Inventory: 167,000

Quick Assets = $1,721,500 - 167,000 = $1,554,500

(1) current ratio = $1,721,500/$902,500

= 1.91:1

(2) acid-test ratio = $1,554,500/$902,500

= 1.72

(3) working capital = $1,721,500 - $902,500

= $819,000

May 29 Used the $255,000 cash proceeds from the notes to buy new machinery.

Current Assets:  $1,721,500 - $255,000 = $1,466,500

Current Liabilities: $902,500

Inventory: 167,000

Quick Assets = $1,466,500 - 167,000 = $1,299,500

(1) current ratio = $1,466,500/$902,500

= 1.62:1

(2) acid-test ratio = $1,299,500/$902,500

= 1.44:1

(3) working capital = $1,466,500 - $902,500

= $564,000

Explanation:

a) Data and Calculations:

May 1, Current Assets = $1,400,000

Ratio of current assets to current liabilities = 1.90:1

Acid -test ratio = 1.70:1

Therefore, current liabilities = $1,400,000/1.9 = $737,000

Current Assets minus Inventory/$737,000 = 1.7

Therefore, current assets minus inventory = $737,000 * 1.7 = 1,253,000

Inventory = Current Assets - (Current assets -inventory)

= $1,400,000 - $1,253,000

= $147,000

3 0
3 years ago
Read 2 more answers
Describe a product, and then give an example of a time when the demand for this product might be high and the demand for this pr
d1i1m1o1n [39]
An inner tube for a swimming pool would be in high demand during the summer months, and in incredibly low demand in the winter months. 
7 0
4 years ago
Ajax, Inc., issued callable bonds with a par value of $1,000,000 that require the payment of a call premium of $10,000. The bond
ivann1987 [24]

Answer:

Explanation:

The journal entry is shown below:

On September 30

Bonds payable A/c Dr $1,000,000

Loss on bond retirement A/c Dr $20,000

          To Discount on Bond A/c  $10,000

          To Cash A/c $1,010,000

(Being the callable bond is recorded)

The computation is shown below:

For cash

= Par value of bond + Premium

= $1,000,000 + $10,000

= $1,010,000

For Loss, it would be

= $1,010,000 - $990,000

= $20,000

And, the remaining amount would be transferred to discount on bond

7 0
3 years ago
Which of the following is a reason that single sourcing is considered risky/bad?a. Larger orders make quantity discounts more li
Alinara [238K]

Answer:

The correct answer is letter "B": There could be supplier interruptions due to political instability.

Explanation:

Single sourcing refers to a company deciding to choose one particular supplier -even if there are many options from where to select- because of a specific reason. The greater disadvantage of this situation is relying on one supplier for the manufacturing process which at a certain point could bring <em>instability </em>in front of different issues inherent or not to the supplier.

6 0
3 years ago
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