A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $3 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $25 per order as well as $5 per shoe pair. The retail store sells 4500 shoe pairs each year. Find a function that models the total inventory costs as a function of x x the number of shoe pairs in each order from the manufacturer.

Answers

Answer 1

Answer:

the function that models the total inventory costs as a function of x is;

$( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Step-by-step explanation:

Given the data in the question;

cost of storing the shoes ( Holding cost ) = $ 3 per year

ordering cost ( Co ) fixed = $ 25 per order

cost of each pair = $ 5 per shoe pair

Total demand = 4500 shoe pairs

Total Inventory cost = Holding cost Ordering cost

so

Total Inventory cost = [tex]\frac{4500}{x}[/tex]( $ 25) + [tex]\frac{1}{2}[/tex]× $3 × x

Total Inventory cost = $( [tex]\frac{4500*25}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Total Inventory cost = $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Therefore, the function that models the total inventory costs as a function of x is; $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )


Related Questions

what does b equal b=____

Answers

9514 1404 393

Answer:

  b = 90°

Step-by-step explanation:

Angles a, b, c form a linear angle, so their sum is 180°. This means ...

  a + b + c = 180°

  b = 180° -(a +c)

Angles 'a' and 'c' are complementary, so their sum is 90°.

  b = 180° -90°

  b = 90°

__

We can also find the measures of the other angles in this geometry.

  a = 90° -c = 90° -56° = 34°

  e = c = 56° . . . . . . . . . vertical angles

In summary, ...

  a = 34°, b = 90°, c = 56°, d = 124°, e = 56°


Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.

Answers

Answer:

1 and 4

or say it as

More seventh graders prefer art class to music class as an elective

There is no association between a student's grade level and the electives they prefer

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,10,20

Answers

9514 1404 393

Answer:

  r = 2

Step-by-step explanation:

The first differences between successive terms are ...

  10 -5 = 5

  20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

  10/5 = 2

  20/10 = 2

The ratios are constant, so the sequence is ...

  geometric with a common ratio of 2.

Help Plis.......................

Answers

Answer:

C

Step-by-step explanation:

Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!

HELP ME ASAP
(THE ANSWER IS ALSO COULD BE NONE)

Answers

Answer:

B

Step-by-step explanation:

They have to be the same shape and size so the most probability is B

BRAINLIEST!!!!!
PLEASE HELPP
NO FILE HOSTING LINKS
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?

Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

the answer is 2.4 miles per day

Find the surface area of the following figure with the given dimension

Answers

Answer:

The surface area is 54 square feet

Step-by-step explanation:

Given

The attached figure

Required

The surface area

This is calculated as:

[tex]SA = 2(LW + LH + HW)[/tex]

Where

[tex]L = Length\\ W = Width\\ H = Height\\[/tex]

So,

[tex]SA = 2 * (3 * 3 + 3 * 3 + 3 * 3)[/tex]

[tex]SA = 54[/tex]

Can someone help me pls

Answers

Solution:C=2πr=2·π·8≈50.26548

ROUND TO THE NEAREST TENTH: 50.3

Hope this helps! :)

Answer:

50.2 in.

Step-by-step explanation:

To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.

Here, only the radius is displayed.

8 ⋅ 2 = 16.

16 is the diameter.

Now we can multiply the diameter by pi to get the circumference.

16 ⋅ 3.14 = 50.24

50.24 rounded to the nearest tenth is 50.2

Again, the formula for circumference is diameter ⋅ π (pi).

Therefore, 50.2 in. is the circumference of this circle.

George drove 240 miles to his grandmother's house. The graph below shows the relationship between the distance he traveled and time.


What does the slope of the graph represent?
A.
The total distance he has traveled.
B.
George's speed in minutes per mile.
C.
George's speed in miles per minute.
D.
The total distance he has left to travel.

plz get it right

Answers

Answer:

There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B

Step-by-step explanation:

Find the area of the polygon.

Answers

Answer:

74.5

Step-by-step explanation:

13.5 * 4.5 = 60.75

5.5 * 2.5 = 13.75

60.75 + 13.75 = 74.5

y
9
30°
х
Find the values of x and y. Write your answers in simplest form.
y =

Answers

Answer:

I just know

Step-by-step explanation:

X= 9 square root of 3

Y = 18

The values of {x} and {y} in the given right angled triangle is -

x = 9√3 and y = 18.

What is Pythagoras theorem?

Pythagoras theorem  states that the square of the hypotenuse is equivalent to the square of the base and perpendicular. We can write the formula for Pythagoras theorem as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is a right angled triangle as shown in the image.

We can write the tangent function as -

tan(30) = 9/x

x = 9/tan(30)

x = 9√3

Similarly, we can write the sine function as -

sin(30) = 9/y

1/2 = 9/y

y = 18

Therefore, the values of {x} and {y} in the given right angled triangle is -

x = 9√3 and y = 18.

To solve more questions on triangles, visit the link-

https://brainly.com/question/2773823

#SPJ2

Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each
new chapter. She spends at least 10 hours per week studying French. Which graph could represent the possible
number of old chapters Vicky reviews, x, and new chapters Vicky learns, y, each week?

Answers

The answer is D

Step-by-step explanation:

The graph B is correct.

What is graph?

The pictorial representation of data is called the graph.

Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.

She spends at least 10 hours per week studying French.

We need to find the graph for this relation,

Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,

Therefore,

x + 1.5 y ≥ 10

Put the graph for the same.

Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.

We get the second graph is the correct graph.

Hence the graph B is correct.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ2

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

Equation: 15x-2=11x+34

x=9

Angle: 133

Step-by-step explanation:

15x-2=11x+34

add 2 to both sides

15x=11x+36

-11x to both sides

4x=36

x=9

Answer:

15x-2=11x+34

exaplan

the two-line is parallel

Two angles in a triangle have measures of 35 and 73
What is the measure of the third angle?

Answers

Hello!

This is a question relating the interior angle sum of a triangle.

The interior angle sum of a triangle will be 180 degrees.

Since we are given two angle measures, we can set up an equation to find the unknown angle measure.

[tex]35+73+x=180[/tex]

[tex]x=180-35-73[/tex]

[tex]x=72[/tex]

The third angle's measure is 72 degrees.

Hope this helps!

Answer:

(A) P E X

Step-by-step explanation:


Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth it to buy the car wash? When is it worth it if the car wash cost $4

Answers

Answer: b and d

Step-by-step explanation:it IS

PLEASE I HAVE TO TURN IT IN
What is the slopes of the triangles (I’ll report you if you answer with a link)

Answers

Answer:

The slope of the line is 1.

Step-by-step explanation:

The triangles don’t have a slope.  They help you find the slope of the line.

slope = rise over run

2/2=1

3/3=1

Whichever triangle you use, the slope of the line is 1.

pair of ratios. 1 : 2 = ___ : 8

Answers

Answer:

4

Step-by-step explanation:

Answer:

1 : 2 = 4 : 8

Step-by-step explanation:

What common base can be used to rewrite each side of the equation
2
3
5
8

Answers

Answer:

2.

Step-by-step explanation.

Hannah factored the expression 24xy + 15y. Her work is shown below.



1. GCF (24xy, 15y) = 3y

2. 24xy/3 = 8xy, 15y/3 = 5y

3. 3(24xy + 15y)

What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.

Answers

- She divided by 3 instead of the GCF.

- She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

- She didn’t undistribute the GCF from the original expression.

please help me with this

Answers

Answer:

Sorry I don't really now about this questions

(its difficult for me sorry)


A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.

Answers

Answer:

h(t)=

h(t)=vt-21t+2

Step-by-step explanation:

initial height =2

initial velocity=21ft/s

dh/dt=v

dh=vdt

intergrating both sides

h(t)-h(i)=vt-v(i)t

h(t)-2=vt-21t

h(t)=vt-21t+2

What is the value of the expression 13/4 (8)? *

Answers

Answer: 26

(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26

Step-by-step explanation:

I think the answer is 26 have a nice day!

Can someone help me on this ASAP pls I really need to know this

Answers

Answer:

A is bethel

B is below sea level by 22 feet

C is I would describe the elevation very low  lowest elevation in North America

D is 0 the elevation is right at sea level.

E is  has a lower elevation and is one of the lowest major cities in the entire United States.

Step-by-step explanation:

someone please help me answer this!!!

Answers

Answer:

4.8 km is the answer.

Step-by-step explanation:

a = ?

b = 5 km

c = 7 km

According to the Pythagorean theorem,

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 49 - 25

a² = 24

a = 4.8989

Round to the nearest tenth,

a = 4.8 km

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo?​

Answers

Answer:

90(x)+50

Step-by-step explanation:

Because you are multiplying 90 by however many hours and adding a 50 dollar fee

Water freezes at 0 °C. If water at 97 °C is cooled at a rate of 6 °C per minute, will it be frozen in 16 min? Show a mathematical statement and all your work.​

Answers

Answer:

No. (work in the step by step explanation)

Step-by-step explanation:

Find out how many degrees it will drop in 16 mins.

1 minute = 6°C

16 mins = 6 x 16 = 96°

97 - 96 = 1°C

−28 = 7b

Solve for b
Tell what you did to find b

Answers

Answer:

b= -4

Step-by-step explanation:

divide both sides by -27 and the you will get b =

Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?

Answers

Answer:

9 pieces represent 3/ 4 because

3/4 × 12 parts = 9 parts

mark me as brainliest

Answer:

9 pieces

Step-by-step explanation:

12 x 3/4 = 9 or

3/4 converted to a decimal = .75 and 12 x .75 = 9

In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n

Answers

Answer:

2\6 is the ratio

Step-by-step explanation:

brainliest pls

step by step explenation

thank you

What is the value of x?

Answers

Answer:

Solution given:

38°=x°+10°[vertically opposite angle]

x°=38°-10°=28°

is your answer

Other Questions
How do you solve 3b(9b-27)=0 please answer both questions correctly!! Dont use files please Julie had 3 1/3 cups of flour. A brownie recipe called for 2 2/3 cups of flour. If Julie made one batch of brownies, how much flour did she have left over? NEED HELP ASAPPPPPPP !!!!!!!! Words expressing feeling or emotion: __________________ *adjectiveadverbprepositioninterjection A ball starts from rest and accelerates at a constant rate of 1.0m/s to a final velocity of5.5m/s. How long did it take for this ball to reach its final velocity? 1What is your favorite retailer? Why do you like this retailer? What would a competitive retailer have to do get your patronage? Summarized this pls----------- Identity negotiation refers to the processes through which people reach agreements regarding "who is who" in their relationships. The process of identity negotiation thus establishes what people can expect of one another. Identity negotiation thus provides the interpersonal "glue" that holds relationships together. Can you tell me the 15 errors in the code you just created? a. City dwellers rarely have any leisure...........? (Supplycorrect tag) Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igors castle?Please this is due in 15 minutes 1. What is one possible positive consequence of Japanese isolation that Hall points out?2. According to both writers, what was the main fear which caused the shogun to close Japan to the West?3. How did Spain's activities in the Philippines serve as a warning to the Japanese? What effect did these activities have on Japanese policy? has anyone watched the infinity live on bbc radio 1 Is there any one who knows how to answer the biology question above On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday. CHICKEN : EGG(1 Point)a. cow : milkb. yesterday : todayc. boy : girld. toe : fingere. hoof : mouth (4-5x)+43=3-32(-82)please answer!! Given z, find lzl.Z = 10iIzI = [?] Brian is 6 feet tall and cast a 12 foot shadow. At the same time, Shirley casts a 9 foot shadow. How tall is shirley? A former sells 9.4 kilograms of pears and apples at the farmers market. 4/5 of this weight is pears and the rest is apples. How many kilograms of apples did she sell at the farmers market