1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
barxatty [35]
3 years ago
14

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 cus

tomers arrive each hour. One design consultant is available to answer questions and make product recommendations. The consultant averages 10 minutres with each customer.
A. Compute the operating characteristics of the customers wiating line, assuming posson arrivals and exponential service times.

B. Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this gaol being met?

C. If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? Will the service goal be met?
Business
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

A) Single-server single-phase model (M/M/1).

\lambda=2.5 \,customers/hour\\\\\mu=6\,customers/hour

B) The goal is not met, as the average time waiting for service is 5.56 minutes.

C) The new mean service rate is 7.5 customers/hour.

In this case, the average time waiting for service is 4 minutes, so the goal is met.

Explanation:

A) This situation can be modeled as a single-server single-phase model (M/M/1).

The mean arrival rate is 2.5 customers per hour.

\lambda=2.5 \,customer/h

The mean service rate is 6 customers per hour, calculated as:

\mu=\frac{60\, min/h}{10 \,min/customer}=6\, customer/h

B) The average waiting time for a customer can be expressed as:

W_q=\frac{\lambda}{\mu}\frac{1}{\mu-\lambda}  =\frac{2.5}{6}\frac{1}{6-2.5} =0.417*0.222=0.093\,hours\\\\W_q=0.093\,hours*(60min/h)=5.56 \,min

The average waiting time is 5.56 minutes, so it is more than the goal of 5 minutes.

C) If the average time spent per customer to 8 minutes, the mean service rate becomes

\mu=\frac{60\, min/h}{8 \,min/customer}=7.5\, customer/h

An the average waiting time for the service now becomes:

W_q=\frac{\lambda}{\mu}\frac{1}{\mu-\lambda}  =\frac{2.5}{7.5}\frac{1}{7.5-2.5} =0.333*0.2=0.067\,hours\\\\W_q=0.067\,hours*(60min/h)=4 \,min

The average time is now 4 minutes, so the goal is achieved.

You might be interested in
A movie theater manager asks an employee, "Should we distribute tickets to the movie on a first-come-first-served basis or throu
mixer [17]

Answer:

For whom to produce.

Explanation:

This fundamental question tends to answer the sector of the customers the company will produce for. It reflects the customer's buying power and willingness.

  • For example, If the customer we are producing has enough money, so we should go for first come first served basis, OR, If the customer lacks money and it hinders the customer to watch a movie so we motivate them to participate in a lottery so are in guise targeting that section as well.
4 0
3 years ago
Consumer​ surplus:
elena-14-01-66 [18.8K]

Consumer surplus is the difference between the maximum amount the consumer is willing to pay for the price of the good and the price that was actually paid by the consumer or commonly known as the current market price. The price that the consumer is willing to pay is determined by the demand curve in the market.

8 0
3 years ago
Read 2 more answers
July Networks provides digital television services across the country. They have a cuttingedge technology that provides high-res
Vesna [10]

Answer:

Locking in customers.

Explanation:

July Networks is locking in customers for the next two years by telling them to subscribe with July Networks. This will keep these customers loyal to them for two years, during which they can further implement retention strategies to keep the customers with them more than two years.

This is a good business strategy and customers are attracted to subscribe because of the cutting edge television technology that is being provided by July Networks.

5 0
3 years ago
Read 2 more answers
You owe $6,800 on a car loan that has an interest rate of 6.75 percent and monthly payments of $310. You lost your job and your
solmaris [256]

Answer:

<em>It will take 9 months longer to repay this loan</em>

Explanation:

<u>Financial Loan Payments</u>

Let's assume a loan has been received for a present value PV at an interest rate i during n periods. Being R the amount of each payment, then

\displaystyle PV=R\cdot \frac{1-(1+i)^{-n}}{i}

Solving for n we have

\displaystyle n=-\frac{log\left(1-PV.i/R\right )}{log(1+i)}

The first agreement of payment has the following data

PV=6,800

i=6.75/(12\cdot 100)=0.005625

R=310

Computing n

\displaystyle n=-\frac{log\left(1-6,800\cdot 0.005625/310\right )}{log(1+0.005625)}

n=23.5\approx 24\ months

The new agreement changes R to 225, thus

\displaystyle n=-\frac{log\left(1-6,800\cdot 0.005625/225\right )}{log(1+0.005625)}

n=33.2\approx 33\ months

This means that it will take 9 months longer to repay this loan

8 0
3 years ago
Other things equal, if the prices of a firm's variable inputs were to fall: one could not predict how unit costs of production w
Paha777 [63]

The correct option is C) marginal cost, average variable cost, and the average total cost would all fall.

It is correct because if the variable cost falls, it will show its effect on marginal, average variable, and average total costs and eventually these costs will fall. The variable cost is included in the calculation of marginal and total costs. And the average variable cost is derived from total variable cost.

Variable Inputs:

The variable inputs are used in performing the production function. Variable means that can change easily, so, in production, variable inputs fluctuate according to the requirement. Variable inputs include labor, raw material, and other inputs.

Reason for incorrect answers:

Option a) is incorrect because the firm can estimate the per-unit cost after reducing input prices.

Option b) is incorrect because the average fixed does not include variable cost, so it will not fall if the variable cost gets reduced.

Option d) is incorrect because the marginal cost will change according to the change in total cost. And the total cost will fall if the variable cost falls.

Learn more about Marginal cost  :

brainly.com/question/3200587

#SPJ4

8 0
1 year ago
Other questions:
  • A production function for which proportional changes in all inputs leads to a more-than-proportional change in output is said to
    13·1 answer
  • How did the invention of money as a medium of exchange affect the barter system?
    11·1 answer
  • What are the factors that a business must consider in choosing a method of transporting goods?
    8·1 answer
  • In addition to the legislators and the governor, there are others involved in the lawmaking process during both regular and spec
    5·1 answer
  • Dry cleaning companies often charge more for women's blouses than men's shirts. They claim that this is because women's blouses
    5·1 answer
  • "Sally is in charge of erecting billboards along highways. The billboards display the logos of newly launched brands in the mark
    7·1 answer
  • Tile &amp; Grout (T&amp;G) contracts to resurface the insides of the pools at WaterWorld Park. T&amp;G knows that without the re
    14·1 answer
  • Why should a notary signing agent learn all about the closing documents in a loan package if they are not allowed to provide adv
    15·1 answer
  • Serena the Chief Financial Officer has a decision to make. She has to rank several alternatives for purchasing a new piece of eq
    5·1 answer
  • Which is a reason why it is important to organize information before preparing a business report?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!