A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day

Answers

Answer 1

Answer:

tsc = 8*1*10 = $80

twc = 8*20*0.0667*12 = $128.06

tc = 80 + 128.06 = $208.06

Step-by-step explanation:

To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).

Total service cost = (the number of channels)(cost per channel)

tsc = m*Cs

There is only 1 employee so the number of channels is 1.

The cost for this channel is $10 per hour, so 10 * 8 hours in the day.

Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)

twc = (number of arrivals)(average wait per arrival) Cw

The number arrivals is at the rate of 20 per hour.

The average wait per arrival was found as Wq previously.

                 Wq = 20/(30*(30-20)) = 0.0667 hours

The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.

Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.


Related Questions

I Need Help ;-; pls its timed

A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative 1).

On a coordinate plane, a rectangle has 4 points. Point A is (negative 4, 8), point B is (1, 8), point C is (1, negative 1), point D is (negative 4, negative 1).

What are the dimensions of the rectangle?
The base is 4 units and the height is 9 units.
The base is 5 units and the height is 7 units.
The base is 5 units and the height is 9 units.
The base is 9 units and the height is 3 units.

Answers

Answer:

The correct answer is the third option

Step-by-step explanation:

I used a graphing calculator and also did L(W). But, the length (height) was 9 and (base) width 5

Drag and drop a phrase to make the statement true. Triangles ABC and DEF are Response area. Two triangles, ABC and DEF. For triangle ABC, angle B is eighty degrees and angle C is sixty degrees. For triangle DEF, angle D is forty degrees and angle E is eighty degrees.

Answers

Answer:

similar

Step-by-step explanation:

i took the test and it was right.

Triangles ABC and DEF specified are similar triangles by Angle-Angle Similarity.

What is Angle-Angle similarity for two triangles?

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

Sum of all angles of a triangle is 180 degrees.

For the triangle ABC, two of its angles are of 80 and 60 degrees, let its third angle be of D degrees, then:

[tex]80 + 60 + D= 180\\D = 180 - 60 - 80 = 40\text{\: \: (in degrees)}[/tex]

Since, triangle DEF also has two of its angles as 80 degrees and 40 degrees, thus, both the triangles ABC and DEF similar.

Learn more about similar triangles here:

https://brainly.com/question/11929676

Match the values with the statistical measures for these data points.

20, 20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26

Answers

Answer:

20, 20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26

Step-by-step explanation:

median (middle number) is (23 + 24) / 2 = 47/2 = 23.5 <== median

Q1 = (21 + 22) / 2 = 43/2 = 21.5 <== lower quartile

Q3 = (25 + 25) / 2 = 50/2 = 25 <== upper quartile

Your welcome! (Please correct me if im wrong!)

Please mark brainiest

72,-36,18,-9 find the common ratio​

Answers

I’m not sure about the answer but there is app called Socratic can help you out

divide 12 unto two parts such that
their product is 35​

Answers

12=7 so it equals 5 hope it helps .

Which table shows a linear function?
-4
- 1
1
2
3
у
8
2
2
4
6
-16
-8
х
-6
-2
0
1
3
-2.
2
y
0
-2

Answers

It’s 12 units long I
Hope it the answer just trying to help

5. a) Which figure is the mapping diagram of the relation
shown?

b) is the relation a function

Please help

Answers

Answer:

b, since the others have the input and output on the wrong sides

The answer will be B :)

Don’t waste an answer if you ain’t gonna help :)

Answers

the answer is that y=13

Pleasee help ASAP! I appreciate anything, will give brainliest and try to help solve your questions if necessary.

Answers

Answer:

it 3

Step-by-step explanation:

In circle A measure of arc BD-56' and BC is a diameter. Which statements are correct?

Answers

The answer is quiet clear I done he snaisknsnridnd

Answer:

90 degrees and 80 degrees

Tulungan niyo po Ako sa module po sa Math​

Answers

Step-by-step explanation:

1a)you are asked to find the number of girls and boys who received prizes

1b)The given facts are that out of 60 pupils, 40 being boys, 20 being girls, joined a Math Quiz competition. 20%of boys and 15 of girls received prizes.

1c)40 boys +20 girls=60 pupils.

1d) Find the number of girls and boys that re ceived prizes

20% of 40 boys

20/100 ×40= 8 boys won prizes

15% of 20 girls

15/100×20=3 girls won prizes

1d) 8 boys+3 girls=11 pupils won prizes

Think about school is not about learning it’s about maintaining good grades

Change my mind

Answers

Answer:

now that I think about it you do have a good point!, but it could be both no?

Step-by-step explanation:

have a good day! :)

The variable k represents a value in the set {-2-4-6-8}. which value of k makes 4 (1.5-k)-10=56/2 a true statement A.-2 B. -4 C. -6 D.-8

Answers

Question: The variable k represents a value in the set {-2,-4,-6,-8}. Which value of k make 4(1.5-k)-10=56/2 a true statement?

Step-by-step explanation:

https://brainly.com/question/23369106

The ratio of boys to girls in Ms. Gonzalez's class is 3 to 4. There are 12 girls in the class. What is the total number of students in Ms. Gonzalez's class?

Answers

Answer:

there are 21 students in her class.

Step-by-step explanation:

Since the 12 girls corresponds to the 4 in the ratio, I multiplied the 3 by three to get the amount of boys. then add the boys to the girls to get 21 students.

What is the area of a parallelogram that has the length of 3.5cm and the height of 2.3cm?

Answers

Area of parallelogram = bh

3.5 x 2.3
= 8.05cm

write each of the following expression without using absolute value.
|6m-54|, if m<9

Answers

9514 1404 393

Answer:

  54 -6m

Step-by-step explanation:

For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...

  -(6m -54) = 54 -6m

hi can you please help me with my work and please no Link please no Link please​

Answers

Answer:

The second one, -11/12

Step-by-step explanation:

I used a website so sorry I don't have an explanation

The diagram shows the dimensions of a triangular prism what is the volume. Click on photo to see

Answers

Answer:

36 in^3

Step-by-step explanation:

1) find the area of the triangle

A = (leg 1 x leg2)/2 = (3 x 4)/2 = 6 in^2

2) find the volume

V = base area x height = 6 x 6 = 36 in^3

Howdoyouwrite
63
100
as percentage?

Answers

Answer:

Do you mean 63 over 100? If it you mean that the answer is 63%

help please, asap. i need this done

Answers

Answer:

2

Step-by-step explanation:

15/3=5

25/5 = 5

10/2 = 5

Answer:

2

Step-by-step explanation:

You have to find the "pattern."

for 15 and 3, you have to divide 15 by 5 and thats 3.

for 25 and 5, 25/5 is 5, so 10/5 is 2.

help me pls pls pls PPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLSSSSSSSSSSSSSSSSS

Answers

Required area = 9× 5 + 6×3

= 45+18

= 63

The correct answer is 75+ 18 which is equal to 93

If the base area of a cylinder is 176.625
square centimeters and the height is 3.5
centimeters, determine the volume of the
cylinder

Answers

Answer:

618.1875 cm^3

Step-by-step explanation:

Volume = base area x height, so 176.625 x 3.5 = 618.1875

y = x + 9
3x + 8y = -5


PLEASE SHOW WORK!!!
Due TODAY!!!!!

Answers

Answer:

x=-45/11

y=10/11

Step-by-step explanation:

y = x + 9   eq 1

3x + 8y = -5   eq 2

Re arranging eq 1

x-y=-9

Now multiply  eq 1 with 8

8x-8y=-40   now call as eq 3

Add eq 2 and 3

3x+8y=-5

8x-8y=-40

11x=-45

x=-45/11

put value of x in eq 2 for y

 3(-45/11)+8y=-5

-135/11+8y=-5

8y=-5+135/11

8y=(-55+135)/11

8y=80/11

y=(80/11)*(1/8)

y=10/11

Check

3*(-45/11)+8*(10/11)=-5

-135/11+80/11=-5

(-135+80)/11=-5

-55/11 =-5

-5=-5

 

Matthew bought flowers for his mother. Exactly 1/4 of the roses were white. How many roses were white?

Answers

Answer:

1/4

Step-by-step explanation:

jdkdbejenrdjeiuidur

Sarah is saving to buy a new phone. She needs $150, and she has already saved $63. Write an equation to model this situation. Let
x represent the amount of money Sarah needs.
A)
X-63 = 150
B)
x+63 = 150
X + 150 = 63
D)
X - 150 = 63

Answers

the correct answer choice should be letter A as in Ana.

Answer:

B.

Step-by-step explanation:

x+63=150

x+63-63=150-63

x=87

She needs 87 more dollars for her new phone.

Tiffany works in a phone store and earns a commission of 21% on all her sales. If she sells $27,000 worth of cell phones this month, how much will her commission be?

Answers

Answer:

5670 usd

Step-by-step explanation:

27000×0.21=5670

A positive angle less than 360 that is coterminal with -725 degrees is

Answers

The angles number would be 230

The positive angle is less than 360 which is coterminal with -725 degrees is  85 degrees.

What are Coterminal Angles?

Coterminal angles are those with the same beginning side and the same terminal sides. These angles are in the typical position, although their values differ. They have the same sides, are in the same quadrant, and their vertices are identical. The endpoint sides coincide at the same angle when the angles are rotated clockwise or anticlockwise.

An angle that is coterminal with -725 degrees is an angle that has the same initial and terminal sides as -725 degrees, but its measure is between 0 and 360 degrees.

To determine a positive angle less than 360 that is coterminal with -725 degrees, we can add or subtract multiples of 360 from -725 degrees until we get an angle within that range.

In this case, -725 degrees - (2 x 360) = -725-720= -1445.

So, the positive angle less than 360 that is coterminal with -725 degrees is -1445 degrees + 360 = 85 degrees.

To learn more about Coterminal Angles click here:

https://brainly.com/question/23093580

#SPJ2

HELPPPPPPP PLEASE AND BRAINLY STOP ASKING ME TO WRITE MORE IM IN URGENCY

Answers

Answer: 1,431

Step-by-step explanation:

split the thing into two rectangular prisms

small prism dimensions: 18 x 2 x 3

multiply the dimensions to get 108

large prism dimensions: 7 x 21 x 9

multiply the dimensions to get 1,323

add 1,323 and 108 together to get 1,431

If F(x) = x - 5 and G(x) = x2, what is G(F(x))?

Answers

Answer:Step-by-step explanation:

G(F(x))=(x - 5)²

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).​

Answers

Answer:

603.71

Step-by-step explanation:

Use a function to solve this.

F(x)

Now lets put in the data for the function.

We have 910, which is the orginal number. This should be the first number, and will have to be multiplyied by the other numbers in the function to find the answer. I think of all these numbers like the things in a penut butter and jelly sandwhich, is sounds very nice since I am hungry.

F(x) = 910 *

Next, we have 5%, which is what we are taking from 910. So, we can think of this as 910 being multiplyied by 0.95. Lets add this to our growing penut butter and jelly sandwhich. The reason I put this into a parenthese is so that the 910

F(x) = 910 * (0.95)

Now for the last step, we must add in the years. So, eahc year we reduce the 910 by 5%, and we need to do this 8 years This means that the 910 times 0.95 must repeat 8 times. To do this, we need ot use exponent. This exponent is 8. So, here is our completed function:

F(x) = 910 * (0.95^8)

Lets plug this into a calculator, since doing this out on paper would be a real pain and will take far to long. I would probably die of hunger and never get a penut butter and jelly sandwhich if I did this out on paper.

In the end, you should get 603.7125 blah blah blah it goes on for a long time. I attached a file of what it looks like in the calculator if you want some evidence.

Oh, you said you want it rounded to the nearest whole number. Well, lets remember our rounding here. Anything below 5 goes down, anything 5 and higher goes up. Since we have 603.7125, we can round that too 603.71

Answer:

603.71

Ti⊂k∫∈s ω∅∅p

Im gonna go grab my PBJ now.

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