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

Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoons of salt. • Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?

Answers

Answer:

1 1/2 teaspoons!

Step-by-step explanation:

Answer:

1 1/2 teaspoons

Step-by-step explanation:

3/4 is to 1 1/8 as 1 is to x

converting 1 1/8 to an improper fraction gives:  

3/4 is to 9/8 as 1 is to x

  (3/4)/(9/8) = 1/x

cross multiply

(3/4)x = 9/8

multiply both sides by 4/3

x = (9/8)(4/3)

x = = 3/2 = 1 1/2

 

1 1/2 teaspoons of salt are needed

can someone please help me? I really need help

Answers

Answer:

x=49

<A=90

<E=147

Step-by-step explanation:

Which expressions are equivalent to the one below? Check all that apply.
9x
A. 3. 3x
B. 32.34
O C. 3.32%
D. (3.3)*
E. 3*. 3x
F. 32x

Answers

Answer:

The answer would be A. 3.3x

Step-by-step explanation:

3.3x can be broken down as 3.3.x

3.3 equals 9 and the 'x' is multiplied to 9.

Hence, it equals to 9x.

The expressions are equivalent to the 9ˣ is

3²ˣ  = 3ˣ . 3ˣ  =  (3 . 3)ˣ  = 9ˣ

Option C, D and F are correct.

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have to find the Equivalent Expression to

So, we will check each option one by one as

1. 3² * 3ˣ

[tex]3^{2+x[/tex]  ≠ 9ˣ

2. 3 * 3²ˣ

[tex]3^{1+2x[/tex] ≠ 9ˣ

3. 3²ˣ  

= (3²)ˣ

= 9ˣ

4. 3ˣ x 3ˣ  

= 3(ˣ⁺ˣ)

= 3²ˣ

= (3²)ˣ

= 9ˣ

5. 3 x 3ˣ ≠ 9ˣ

6. (3 . 3)ˣ  

= 9ˣ

Learn more about Equivalent Expression here:

https://brainly.in/question/4185961

#SPJ7

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Answers

A speed rate….=constant of proportionality

A number, k……=unit rate

A ratio…………….=slope


Answer:

Step-by-step explanation:

A speed rate = constant of proportionality

A number, k = unit rate

A ratio = slope

CAN ANYONE HELP ME ASAP AND THANKS:)

Answers

Answer:

true, true, false

Step-by-step explanation:

the sales do not decrease between week 4 and 5

Answer:

The answer is True, True, False

Step-by-step explanation:

For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.

For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.

For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.

Hope this helps!

3. Susan plans to order concert tickets that cost $45 each. She will also have to pay a $10
service charge for the order. To find the total amount she must pay, Susan used the
expression 45n+10, where n is the number of tickets ordered. What is the total amount of
money Susan must pay if she orders 5 tickets? *

Answers

Answer:

The total amount of money Susan must pay if she orders 5 tickets is $235.

Step-by-step explanation:

Simply plug in the number of tickets!

45(5) + 10 = $235

Answer:

235

Step-by-step explanation: couldnt put the answer before bc a bot put one

nick is baking fudge. what is the minimum amount of plastic wrap needed to cover this piece of fudge?

Answers

Answer:

4 inches

Step-by-step explanation:

Answer:

where is the picture?

Step-by-step explanation:

is 0.3 greater than 0.22

Answers

Answer:

Yes

Step-by-step explanation:

.3 is the same as .30, and 30 is greater then 22, therefore .3 is greater then .22

Which expression is a perfect cube?
224
m 28

Answers

Answer:

alan walker dead girl

Step-by-step explanation:

? Help
Which number will make the two fractions
10 5
equivalent?
38 ?
OA) 2
B) 5
C) 18
D) 19

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

it is just right my brudda

8. An isosceles triangle includes two 56' angles. Which equation could be
used to find the measure of the third angle?

Answers

Answer:

B. x=180-2(56)

Step-by-step explanation:

Isosceles triangles have 2 angles of equal measure and 1 different measure. we add both measures or multiply them by 2 and then subtract them from 180 (sum of all angle measurements in a triangle) to find the missing measure

The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?

Answers

Answer:

Width: 13/2 ft.

Length: 12 ft.

Step-by-step explanation:

Let's assume the width is x

This means that the length is 2x-1, because it it one less than double the width.

The formula for the area of a rectangle is length*width, so

(2x-1)*x=78

Now let's solve for x

2x^2-x=78

2x^2-x-78=0

Use the quadratic formula

x=13/2 and x=-6

x cannot be negative, so we can rule out x=-6 and are left with x=13/2.

Substituting x back into our original assumptions, we now know that

The width is x=13/2 and

The length is 2x-1=2(13/2)-1=12

Final answer: The width is 13/2 ft. and the length is 12 ft.

Find the Value when 2 is added to 11.​

Answers

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects

13 is the value when 2 is added to 11

The Jacksons pay a monthly mortgage payment of $938. They also pay a semi-annual property tax bill of $3,298 and an annual homeowner’s insurance of $840. The property tax and insurance are paid monthly into an escrow account to their lender. What is their monthly payment including all three bills? Round to the penny.

Answers

9514 1404 393

Answer:

  $1,557.67

Step-by-step explanation:

The monthly amount of the semi-annual tax bill is ...

  $3,298/6 = 549.67

The monthly amount of the annual insurance bill is ...

  $840/12 = $70

Then the total of the amount paid to the lender is ...

  $938 +549.67 +70 = $1,557.67 . . . monthly payment

A line includes the points (1,9) and (4,24). What is the equation in slope-intercept form?

Answers

Answer:

y = 5x+4

Step-by-step explanation:

The slope-intercept form of an equation is like this:

y= mx+b

M stands for the slope and b for the y-intercept.

First, we need to find the slope:

m= slope= y1-y2/ x1-x2m= slope= 9-24/1-4m= 5

Now we know: y= 5x+b

Now, to find b we have to choose one of your points. Let's use the first given point: (1, 9)

With the slope-intercept form equation I showed before, substitute x and y with the values of one point.

9= 5(1)+b9= 5+b9- 5= 5-5+b4= b

Substitute the b in the equation, and that's your answer:

y= 5x+4

The slope of the line below is 3. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.
(-1,1)
-5
5
-5

Answers

Answer:

The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which the point is given by [tex](x_0,y_0)[/tex] and m is the slope.

The slope of the line below is 3.

This means that [tex]m = 3[/tex]

(-1,1)

This means that [tex]x_0 = -1, y_0 = 1[/tex].

Equation of the line:

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - 1 = m(x - (-1))[/tex]

[tex]y - 1 = m(x + 1)[/tex]

The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]

Find the slope of a line that goes through the points (5,-2) and (1,0).
A. 1/2 B. - 1/2 C. 2 D. -2

Answers

Answer:

B(-1/2)

Step-by-step explanation:

So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.

So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.

You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.

This is your y value of your slope.

Next lets find the x value of the slope.

Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.

You should get negative 4, since 1-5 equals -4.

This is the x value of the slope.

Knowing your y and x value of the slope, we can tell that the slope will be:

2/-4

This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.

The negative sign can just be moved to the front since it is the only negative and does not change:

Answer:

-1/2

RENAME 11/12 / 8/9 AS A MIXED NUMBER

Answers

Answer: 1(29)/(36)

Step-by-step explanation:

Find the length of TU as indicates in the picture, will name Brainliest.

Answers

Answer:

7

Step-by-step explanation:

2x-5 + 2x-7 = 12

this is because the length of the line is given to be 12

so the sum of the two equations should be 12

2x+2x -5-7 = 12

4x - 12 = 12

4x = 12+12

4x = 24

x = 6

there TU = 2x-5 =2(6) -5 =12-5=7

TU = 7

Emile went out for dinner and received a bill for $32.45. He left an 18% tip How much
did Emile pay for dinner including his tip?

Answers

Answer:

$38.29

Step-by-step explanation:

PLEASE HELP DUE IN 2 HOURS!


4.22 g/cm to lbs/ft

Answers

Answer:

I dont know if this helps

0.009 3 0 3 5 0 7

I think this is the answer

My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?

Answers

I recommend you take her to a vet

Thousands of people are going to a Grateful dead concert in Pauley Pavillion at UCLA. They park their the foot cars on several of the long streets near the arena. There are no lines to tell the drivers where to park, so they park at random locations, and end up leaving spacings between the cars that are independent and uniform on .0; 10/. In the long run, what fraction of the street is covered with cars

Answers

This question is incomplete, the complete question is;

Thousands of people are going to a Grateful dead concert in Pauley Pavilion at UCLA. They park their 10 foot cars on several of the long streets near the arena. There are no lines to tell the drivers where to park, so they park at random locations, and end up leaving spacings between the cars that are independent and uniform on ( 0, 10 ). In the long run, what fraction of the street is covered with cars?.

Answer:

in the long run, the fraction of street that will be covered with cars is 0.6667

Step-by-step explanation:

 given the data in the question;

the gaps between two cars follows uniformly ) 0, 10 )

therefore in the long run, average gap will be;

⇒ (0 + 10) / 2 = 10 / 2 = 5 feet

meaning that, in the long run a single car will occupy;

⇒ length of car + gap

⇒ 10 + 5 = 15 feet

∴ the fraction of road covered with cars will be;

⇒ length of car / space or length of road occupied by one car

⇒ 10 / 15

0.6667

Therefore, in the long run, the fraction of street that will be covered with cars is 0.6667

What is the vertical distance from the origin to the point (8, 1)?

Answers

Answer:

The vertical distance is 1.

Explanation:

Coordinates are structured as ( x , y )

The "x" is horizontal and the "y" is vertical, when placed onto a graph.

In the question, 8 is "x" and 1 is "y". Meaning the vertical number is 1.

Find the surface area of the prism.

Answers

Answer:

The surface area of the prism is 386m²

Step-by-step explanation:

The surface area of a box is equal to the sum of the areas of each side of the box.

[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]

Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.

[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]

Simplify each term.

[tex]210 + 120 + 56[/tex]

Simplify by adding numbers.

[tex]386m ^{2} [/tex]

Hence, the Surface area of this prism is 386m².

which of the following is equivalent to 2:1​

Answers

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions

Do you like potato chips? 1+1

Answers

Answer:

yes 1+1=2

Step-by-step explanation:

Answer:

Yes I love chips and the answer is 2 -W-

can someone please help me and not jsut want points ebcause i relaly need help..
y=9x
y=2x+63

Answers

PRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Kelly purchased a t-shirt
for 9.99 and a pair of
jeans for $21.50. The
sales tax rate is 8.25%.
What was the total cost
of Kelly's purchase
(including sales tax)?


PLEASE HELP

Answers

Answer:

34.09

Step-by-step explanation:

Answer: $34.09

Step-by-step explanation:

Help pls............. Will choose brainliest

Answers

Answer:Its D enjoy =)

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