The annual demand for a product is 16,400 units. The weekly demand is 315 units with a standard deviation of 90 units. The cost to place an order is $31.00, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.20 per unit.
a. Find the reorder point necessary to provide a 95 percent service probability.
b. Suppose the production manager is asked to reduce the safety stock of this item by 55 percent. If she does so, what will the new service probability be?

Answers

Answer 1

Answer:

a) The reorder point necessary to provide a 95 percent service probability is 1557 units.

b) The Z value of 0.74 corresponds to 77% service probability.

Step-by-step explanation:  

Average weekly demand (d) = 315 units  

The standard deviation of weekly demand (\sigmad) = 90 units  

Lead time (L) = 4 weeks  

At 95% service level value of Z = 1.65  

Reorder point = d x L + safety stock  

[tex]= d \times L + (Z \times \sigma d \times \sqrt L)\\\\= 315 x 4 + (1.65 x 90 x \sqrt 4)\\\\= 1260 +(1.65 x 90 x 2)\\\\= 1260 + 297\\\\= 1557 units[/tex]

b) Earlier the safety stock was 297 units(calculated in part a)

Now the safety stock is reduced to 55%.so,55% of 297 = 163.35 units  

So the new safety stock = 297 - 163.35 = 133.65  

[tex]Safety stock = Z \times \sigma d \times \sqrt L\\133.65 = Z x 90 x 2\\133.65 = 180Z\\ Z = 133.65/180\\Z = 0.74[/tex]  

The Z value of 0.74 corresponds to 77% service probability.


Related Questions

Task: Population of a Species

The population of a species in the wild in Asia has been decreasing exponentially since 1980. This function represents the wild population of the species t years after 1980: W(t)=20000(0.95)t.

The Wildlife Refuge Foundation noticed this trend before 1980
and decided to try to help reduce the population decline by
breeding the species in captivity. The graph shows the number
of these animals that have been born in captivity since 1980.

(Note: The function W(t) and the graph are not the same function!)

[15 points] Use the graph to create a function to represent the number of the species that have been born in captivity, C(t).

Answers

Answer:

C(t) = 20t

Step-by-step explanation:

The graph of C(t) appears to be linear

The y intercept is 0

The slope is 200/10 = 20

y = mx+b  where m is the slope and b is the y intercept

y = 20x+0

y = 20x

C(t) = 20t

Answer:

the answer is c (t) = 20 t

Step-by-step explanation:

[tex]\sf{}[/tex]

:,-)

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

The following are on a parabola defining the edge of a ski
(-4, 1), (-2, 0.94), (0.1)
The general form for the equation of a parabola is:
Ax^2+ Bx +C= y
Required:
a. Use the x- and y-values of 1 of the points to build a linear equation with 3 variables: A, B, and C.
b. Repeat this process with 1 of the other to build a 2nd linear equation.
c. Record your equation here. Repeat this process with the other point to build a 3rd equation.

Answers

9514 1404 393

Answer:

  a) 16A -4B +C = 1

  b) 4A -2B +C = 0.94

  c) C = 1

Step-by-step explanation:

Substitute the x- and y-values into the general form equation.

a. A(-4)² +B(-4) +C = 1

  16A -4B +C = 1

__

b. A(-2)² +B(-2) +C = 0.94

  4A -2B +C = 0.94

__

c. A(0)² +B(0) +C = 1

  C = 1

_____

Additional comment

Solving these equations gives A=0.015, B=0.06, C=1. The quadratic is ...

  0.015x² +0.06x +1 = y

Carlos is an administrative assistant at an insurance agency. He wants to gather feedback from customers on their service. He doesn't have a lot of time, and he wants to have some data to share with his supervisor. What is the best way for Carlos to gather feedback? O a) Individual interviews O b) Survey O c) Focus group d) Phone calls

Answers

When a person does not have enough time he must should take the faster and effective route in this case carlos does not have time for individual interviews or phone calls. Focus group will not work i guess because discussion takes time so i guess it should be survey. I am not sure but it should be Survey or Focus Group

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ASAP ITS TIMED
What is the following sum? Assume x20 and 20.
W x ² + 2 / x 374 + xy ſy
0 x ²7² ſy- 2xy?
0 2xy ſy + 2xy ² x
0 4xy dx
o 2xyxy
وی در مورد

Answers

Answer:

The right answer is the 2nd one

hope it will help :)

The given sum is option B. 2xy√y + 2xy²√x.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression of sum is,

√(x²y³) + 2√(x³y⁴) + xy √y

We have to find the sum.

√(x²y³) = √x² √y³ = x√y³ = x√(y²)√y = xy√y

Now,

2√(x³y⁴) = 2[√x² √x √(y²)²] = 2x√x y² = 2xy²√x

Substituting these,

√(x²y³) + 2√(x³y⁴) + xy √y = xy√y + 2xy²√x + xy √y

                                          = 2xy√y + 2xy²√x

Hence the equivalent sum is 2xy√y + 2xy²√x.

Learn more about Expressions sum here :

https://brainly.com/question/15284271

#SPJ7

For f(x) = 4x2 + 13x + 10, find all values of a for which f(a) = 7.

the solution set is ???

Answers

Answer:

f(7)=109

Step-by-step explanation:

Since f(a)=7 then you just imput 7 on each x like this f(7)=8+13(7)+10= 109

The ratio of men to women working for a company is 5 to 3. If there are 200 employees total, how many women work for the company?​

Answers

Answer:

There are 200 employees, and the ratio is 5:3.

5+3 = 8

200/8 = 25

So, there are 5(25) = 125 men and 3(25) = 75 women.

There are 75 women who work for the company.

Let me know if this helps!

[tex]log(x) * log(2)[/tex]

Why can't this problem be solved?

Answers

Answer:

Because it is not an equation.

Step-by-step explanation:

[tex] log(x) \times log(2) \\ = log(x + 2) [/tex]

Solve for x.
–5(–2x – 5) – 2 – 1= -12

Answers

Answer:

x=-17/5

Step-by-step explanation:

–5(–2x – 5) – 2 – 1= -12

+10x+25-2-1=-12

10x+22=-12

10x=-12-22

10x=-34

x=-34/10

x=-17/5

Step-by-step explanation:

Open the brackets

10x +25 -2 - 1= -12

Collect the like terms

10x = -12-25+2+1

10x = -34

Divide both sides by 10

Therefore,x = -34/10 = -3.4

What is the surface area of this figure in square centimeters?

A.96
B.75
C.84
D.60

Answers

9514 1404 393

Answer:

  A.  96

Step-by-step explanation:

The surface area is the sum of the areas of the two triangular bases and the areas of the three rectangular lateral faces.

  A = 2(1/2)bh + PH

where b is the base of the triangle, h is its height, P is the perimeter of the triangle, and H is the height of the prism.

  A = (3 cm)(4 cm) +(3 +4 +5 cm)(7 cm) = 12 cm² +84 cm²

  A = 96 cm²

The surface area of the triangular prism is 96 square cm.

Which equation is represented by the graph?

Answers

Answer:

I don't knowledge bro sorry

in a 5 liter milk jar water and milk are in the ratio 2:3. If 1 liter of milk and 1 liter of water is added. what will be the new ratio.
Give me answer with steps . and the answer is 3:4. but how I want to know​

Answers

Answer:

ratio of water and milk=2:3

i.e. water=2

milk=3

now adding 1 liter of water in 2

2+1=3

and 1 liter of milk in 3

3+1=4

hence,

the new ratio is 3:4

Step-by-step explanation:

i hope this will help

plz mark as brainliest

15 times a certain number plus 5 times the same number is 80 what is the number​

Answers

x = 4

Every step shown. Once you become used to doing this you will almost be able to do the basic one's in your head without writing much down.

Explanation:

Let the unknown value be  

x

Converting the words into numbers:

First part: "15 times a certain number"  → 15 x

Second part: "plus 5 times the same number" → 15 x + 5 x

The last part: " is 80" ->  15x + 5 x = 80

We are counting  x ' s . 15 of them plus another 5 of them gives a total of 20.

So 15 x + 5 x = 20 x = 80

Divide both sides by 20

20 x ÷ 20 = 80÷ 20

20/20x=80/20

x=4

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 15x+5x=80[/tex]

[tex]\\ \sf\longmapsto (15+5)x=80[/tex]

[tex]\\ \sf\longmapsto 20x=80[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{80}{20}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

9514 1404 393

Answer:

   10·2^-8 grams

Step-by-step explanation:

The each day, the initial amount for that day is multiplied by 1/2. After 8 days, the initial amount has been multiplied by (1/2)^8, where the exponent of 8 signifies that (1/2) is a factor 8 times in the product.

After n days, the quantity remaining is ...

  q(n) = 10·(1/2)^n = 10·2^(-n)

after 8 days the remaining amount is ...

  q(8) = 10·2^-8 . . . grams

Which expression is equivalent to (3 squared) Superscript negative 2?

Answers

Answer:

–81

Step-by-step explanation:

PLEASE HELP

-1/2m=-9

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex] \begin{cases} \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: 18 \: \\ \end{cases}[/tex]

A farmer weighs a dozen chicken eggs. The heaviest egg is 56 g. ​

Answers

Step-by-step explanation:

hi

what is your question?

Step-by-step explanation:

please tell full questions

PLEASE HELP NO ONE IS ANSWERING ANY QUESTION I ASK!!!!
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3x + 1

A) This is a polynomial.


B) The base is x + 1.


C) The base is 3.


D) This is not an exponential function because the variable is in the exponent position.

Answers

Answer:

sorry in dont know the ans

All of my friends like fruit. 9 friends like bananas, 8 friends like oranges, and 7 friends like plums. 5 friends like both bananas and oranges, 3 friends like both bananas and plums, 4 friends like both oranges and plums, and 2 friends like bananas, oranges and plums. How many friends do I have?

Answers

Answer:

you have 38 friends

Step-by-step explanation:

because you have to add I think so

Answer:

38 friends

Step-by-step explanation:

Question 20 plz show ALL STEPS and hurry PLEASE

Answers

Answer:

(a) You will get ten

Step-by-step explanation:

single cell = 3 min

30 min = ?

30 divided by 10 = 3

Have a good day!

Find the line integral with respect to arc length ∫C(9x+5y)ds, where C is the line segment in the xy-plane with endpoints P=(2,0) and Q=(0,7).

(a) Find a vector parametric equation r⃗ (t) for the line segment C so that points P and Q correspond to t=0 and t=1, respectively

(b) Rewrite integral using parametrization found in part a

(c) Evaluate the line integral with respect to arc length in part b

Answers

(a) You can parameterize C by the vector function

r(t) = (x(t), y(t) ) = P (1 - t ) + Q t = (2 - 2t, 7t )

where 0 ≤ t ≤ 1.

(b) From the above parameterization, we have

r'(t) = (-2, 7)   ==>   ||r'(t)|| = √((-2)² + 7²) = √53

Then

ds = √53 dt

and the line integral is

[tex]\displaystyle\int_C(9x(t)+5y(t))\,\mathrm ds = \boxed{\sqrt{53}\int_0^1(17t+18)\,\mathrm dt}[/tex]

(c) The remaining integral is pretty simple,

[tex]\displaystyle\sqrt{53}\int_0^1(17t+18)\,\mathrm dt = \sqrt{53}\left(\frac{17}2t^2+18t\right)\bigg|_{t=0}^{t=1} = \boxed{\frac{53^{3/2}}2}[/tex]

Louise has a hard time keeping her workspace clean at her job. She tries, but it just ends up getting messy again. Which of the following is a likely outcome of her consistent messiness? O a) She will have fewer safety issues. b) She will feel more productive. c) Customers will think she is very busy. O d) She will have a hard time focusing.

Answers

Option C

Customers will think she is very busy

A messy desk indicates that the person is very busy.

Must click thanks and mark brainliest

f(x) = - 2x
g(x) = 8x^2 - 5x + 7
Find (f • g)(x).

Answers

9514 1404 393

Answer:

  (f•g)(x) = -16x^3 +10x^2 -14x

Step-by-step explanation:

  (f•g)(x) = f(x)•g(x) = (-2x)(8x^2 -5x +7)

Use the distributive property:

  (f•g)(x) = -16x^3 +10x^2 -14x

How many terms of the series 2 + 5 + 8 + … must be taken if their sum is 155

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

The sum of terms of an arithmetic series is ...

  Sn = (2a +d(n -1))·n/2 = (2an +dn^2 -dn)/2

For the series with first term 2 and common difference 3, the sum is 155 for n terms, where ...

  155 = (3n^2 +n(2·2 -3))/2

Multiplying by 2, we have ...

  3n^2 +n -310 = 0 . . . . . arranged in standard form

Using the quadratic formula, the positive solution is ...

  n = (-1 +√(1 -4(3)(-310)))/(2(3)) = (-1 +√3721)/6 = (61 -1)/6 = 10

10 terms of the series will have a sum of 155.

Answer: 10 terms

Step-by-step explanation:

[tex]\displaystyle \ \Large \boldsymbol{} S_n=\frac{2a_1+d(n-1)}{2} \cdot n =155 \\\\ \frac{4+3(n-1)}{2} \cdot n =155 \\\\\\ 4n+3n^2-3n=310 \\\\ 3n^2+n-310=0 \\\\D=1+3720=3721=61^2\\\\n_1=\frac{61-1}{6} =\boxed{10} \\\\\\n_2=\frac{-61-1}{3} \ \ \o[/tex]

trig..experts...help! Will give brainly!

Answers

Answer:

Step-by-step explanation:

189² = 215² + 123² - 2(215)(123)cos x°

35,721 = 46,225 + 15,129 - 52,890 cos x°

35,721 = 61,354 - 52,890 cos x°

52,890 (cos x° ) = 25,633

cos x° = 25,633 ÷ 52,890 ≈ 0.4846

x° ≈ 61.01°

Find the measure of TU
A. 8
B. 12
C. 14
D. 11

Answers

Answer:

D. 11

Step-by-step explanation:

First apply the secant-secant theorem to find the value of x.

Thus,

VU(TU + VU) = VW(BW + VW) (secant-secant theorem)

Substitute

(7)(x + 4 + 7) = (9)(-2 + x + 9)

7(x + 11) = 9(7 + x)

7x + 77 = 63 + 9x

Collect like terms

7x - 9x = 63 - 77

-2x = -14

Divide both sides by -2

x = 7

✔️Find TU

TU = x + 4

Substitute get value of x

TU = 7 + 4 = 11

Answer:

11

Step-by-step explanation:

I need help to fine the statement that is true

Answers

Answer:

option A

Step-by-step explanation:

wx and zy making 90 angle with each other therefore they are perpendicular.

wx and ab making 0 angle with each other therefore they are parallel

The length of rectangle is double of it's breadth .if its perimeter is 48 cm then find it's length.​

Answers

Step-by-step explanation:

Let breadth be x,

then length is 2x cm,

perimeter of rectangle=2(l+b),

48=2(2x+x),

48÷2=3x

24=3x

24÷3=x

8cm =x,

B=8cm

L=2×8=16cm

Answer:

length =2x

breadth= let x be breadth

Perimeter = 48cm

now

Perimeter = 2 (l+b)

or, 48 cm = 2 (2x+x)

or, 48cm= 4x + 2x

or, 48 cm = 6x

or, 48cm÷6 =x

x = 8 cm

breadth= 8cm

length = 8 ×2 =16cm

2. What is the length of AB? Round your
answer to the nearest hundredth.

Answers

Answer:

The required length of AB is 7.28 units.

Factor the polynomial expression 3x4 + 24x.

Answers

Answer:

3x ( x+2)(x^2−2x+4)

Step-by-step explanation:

3x^4 + 24x.

Factor out the greatest common factor

3x*x^3 + 3x*8

3x(x^3+8)

Then factor the cubic term

The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)

3x ( x+2)(x^2−2x+4)

Tìm thể tích của khối bao bởi mặt z=5+(x−4)^2+2y và mặt x=3,y=4 và mặt phẳng tọa độ.

Answers

Step-by-step explanation:

ccxiddidificifificici i i ivi i i i i i i i iivvii iix9difi

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