What is probability the time between two successive calls, Macroeconomics

Assignment Help:

A one-car taxi company receives an average of 18 calls per day. The receptionist takes down details of the requested journey and relays them to the driver by radio. Each passenger's journey takes 25 minutes on average. The working day is 12 hours long.

(i) What constitutes the queue in this particular situation?

(ii) How long, on average, will a client have to wait between placing a pickup call and the arrival of the taxi?

(iii) During this waiting time, how many other clients on average will be picked up by the taxi? (Think about the number of people already waiting in queue when a customer arrives.)

(iv) List all the necessary assumptions for your calculations in (ii) and (iii). For each assumption, explain briefly whether you think they may or may not be realistic in this particular example.

(v) What is the probability that the time between two successive calls will exceed one hour?

(vi) What would your answer to (ii) be if the mean of the service time remains the same but the standard deviation is 15 minutes? What type of queuing system is this?

(vii) Based on observation, the more taxis a company operates, the more calls it receives. If the company operated a second car, what rate of calls would result in the same average waiting time as with one car? Express your answer in terms of the average interval between calls.

(viii) The annual costs of operating the company are as follows:

Office and receptionist (for either 1 or 2 cars) £30,000
Fixed costs per car (depreciation, tax etc.) £5,000
Drivers' wages £20,000

The variable costs per car (petrol etc.) are £18/day, when operating full-time.

For the one-car case described in (i)-(iv), and for the two-car case in (vii), calculate the average charge per client necessary to break even. Assume 300 working days per year.


Related Discussions:- What is probability the time between two successive calls

Introduction of Macroeconomics, Macroeconomics We have explained severa...

Macroeconomics We have explained several concepts and Macroeconomic Aggregates which form the basic terminology of macroeconomic analysis. Like other empirical sciences, econom

Public Sector, What is top marginal rate of taxation?

What is top marginal rate of taxation?

Calculate the duration of a par value bond with coupon rate, 1.  Calculate ...

1.  Calculate the duration of a par value bond with a coupon rate of 8% and a remaining time to maturity of 5 years. 2. On September 26, the spot price of gold was $320 per ounc

What is the marginal product, What is the marginal product? The margina...

What is the marginal product? The marginal product of an input is the extra quantity of output which is generated by using one more unit of which input. Marginal product of

Natural resources are being rapidly depleted, Assume that there are only tw...

Assume that there are only two inputs (labor and natural resources) producing two goods (movies and gasoline) with no improvement in society's technology over time. Further, assume

Macroeconomic models, Now we will analyse how macroeconomic variables fit t...

Now we will analyse how macroeconomic variables fit together and present models which explain the main macroeconomic variables.  Using these models we can, for instance, analyse

Mean and variance, Compute the mean and variance of the following discrete ...

Compute the mean and variance of the following discrete probability distribution. Where X=2, and P(x)=.5. Where X=8 and P(X) .3. Where X=10 and P(X) =.2.

Goods market and factors market, Goods Market and Factors Market: Good...

Goods Market and Factors Market: Goods  market  is  the  market  where  goods  are  bought  and  sold  for  the  purpose  of consumption Factors markets are the markets

Effectiveness of commercials, Suppose an advertising agency is conducting a...

Suppose an advertising agency is conducting a survey concerning the effectiveness of commercials during the Super Bowl. If 32% of people watch the Super Bowl, and if the agency con

Average cost curve, A firm with a U-shaped average cost curve finds that it...

A firm with a U-shaped average cost curve finds that its revenues exceed its costs when it sets price equal to marginal cost. On which part of its average cost curve is the firm op

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd