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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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Suppose that the Town of Mapledale is considering hiring an additional firefighter. The expected benefit is estimated to be wort
Radda [10]

Answer:

(B) Hire the firefighter if the cost of the new firefighter is less than $75,000.

Explanation:

The city should hire the Firefighter only if the cost of new firefighter is less than $75,000.

Since $5 x 15000 residents = $75, 000.

Therefore it is still beneficial to hire a new firefighter if the cost is less than $75, 000

5 0
3 years ago
In the month of June, Bedford Company sold 350 widgets. The average sales price was $34. During the month, fixed costs were $6,3
VikaD [51]

Answer:

Results are below.

Explanation:

Giving the following information:

In June, Bedford Company sold 350 widgets. The average sales price was $34. During the month, fixed costs were $6,320 and variable costs were 40% of sales.

F<u>irst, we need to calculate the unitary variable cost:</u>

Unitary variable cost= 34*0.4= $13.6

<u>Now, we can determine the contribution margin per unit and the contribution margin ratio:</u>

contribution margin per unit= selling price - unitary variable cost

contribution margin per unit= 34 - 13.6= $20.4

contribution margin ratio= contribution margin per unit/selling price

contribution margin ratio= 20.4/34

contribution margin ratio= 0.6

<u>To calculate the break-even point in units and dollars, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 6,320/20.4

Break-even point in units= 310 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 6,320/0.6

Break-even point (dollars)= $10,533

<u>To calculate the margin of safety, we will use the following formula:</u>

Margin of safety= (current sales level - break-even point)

Margin of safety= 350*34 - 10,533

Margin of safety= $1,367

<u>Finally, the desired profit is $4,000:</u>

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units=  (6,320 + 4,000) / 20.4

Break-even point in units= 506 units

Break-even point (dollars)= (fixed costs + desired profit)/ contribution margin ratio

Break-even point (dollars)= 10,320/0.6

Break-even point (dollars)= $17,200

3 0
2 years ago
Far Horizons, Inc. has experienced a lot of absenteeism and turnover among employees, particularly among ethnic and religious mi
ycow [4]

Answer:

Option D. Adjust working hours to accommodate workers' personal needs.

Explanation:

The reason is that discrimination is treating an employee unfairly on basis of employee's religion, color, etc. and treating them by implementation of policies would not make it violate the discrimination act if the company is already struggling hard to better manage the people by adjusting worker's personal needs which means now if they still are absent then they are accountable for their unethical deeds.

3 0
2 years ago
Audio engineers at 3XT2 have determined that an anechoic additive will increase isolation and improve signal to noise by about 2
Crazy boy [7]

Answer:

The correct answer is $83230

Explanation:

Solution

Given that:

The Present worth of geometric series is shown below

= A *[1 - (1+g)^n /(1+i)^n] / (i-g)

Now,

The present  cost of worth from EOY 5 to EOY 13 at EOY 4 = 7000 *[1 - (1+0.12)^9 /(1+0.15)^9] / (0.15-0.12)

Thus,

= 7000 *[1 - (1.12)^9 /(1.15)^9] / (0.03)

Which is,

= 7000 * 7.0572647

= 49400.85

Now, The NPW of all costs = 35000 + 7000*(P/A,15%,4) + 49400.85*(P/F,15%,4)

= 35000 + 7000*2.854978 + 49400.85*0.571753

= 83229.93

Therefore the sound improvement better result in a net present worth profit of how much to negate the costs is $83229.93 or 83230

Note: EOY = End of year.

6 0
3 years ago
Joan borrowed $10,000 from a relative to start her own business. Assuming she takes all responsibility for the company's financi
iVinArrow [24]

Answer:

sole proprietorship

Explanation: im guessing

4 0
1 year ago
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