The annual demand for a product is 17,200 units. The weekly demand is 331 units with a standard deviation of 85 units. The cost to place an order is $31.50, and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $0.10 per unit. a. Find the reorder point necessary to provide a 95 percent service probability. (Round your answer to the nearest whole number.)
Reorder point
b. Suppose the production manager is asked to reduce the safety stock of this item by 60 percent. If she does so, what will the new service probability be? (Round your answer to 3 decimal places.)
Service probability

Answers

Answer 1

Answer:

R = 2414 units

0.794

Step-by-step explanation:

Given:

Weekly demand, D = 331 units

Lead time (L)= 6 weeks

Standard Deviation (SD) = 85 units

The reorder point is calculated using the relation :

R = D*L + z*(SDw)

SDw = the standard deviation with lead time of 6 weeks ; √6 * 85 = 208.21

z = NORMSINV(0.98) = 2.05

R = (331 * 6) + (2.05 * 208.21)

R = 1986 + 428.122

R = 2414.122

R = 2414 units

The Safety stock, SS

SS = z * SDw

SS = 2.05 * 208.21

SS = 426.8305 units

60% reduction :

426.8305 * (1 - 60%)

= 170.7322

= 171 units

The new service probability ;

SS = z * SDw

171 = z * 208.21

z = 171 / 208.21

z = 0.82

P(Z < 1.02) = 0.7938 = 0.794 = 79.4%


Related Questions

What are the roots of the quadratic equation below?
2x2 + 8x + 7 = 0
ANSWER ASAP!

Answers

Answer:

x = 2 ± [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.

Answers

Answer:

b is the answer am not sure you know

Answer:

a) 3/10

b)3/10

Step-by-step explanation:

let the sample of people be 10

so,

a) total outcome=10

favourable outcome=3

P(seeing a UFO)= 3/10

b) total outcome=10

favourable outcome=2 or 3

P(seeing a UFO)= 2/10+3/10-(2/10

5/10-2/10

=3/10

Hi if you have a 65% grade can a 80% bring it up to a C 70%

Answers

Yes it should bring it up to a C or maybe it will be a 70 or 75

Answer:

Not a 70%, but a 72.5% (or a 73%)

Step-by-step explanation:

Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.

The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.

I. Read each question carefully, then write the letter of the correct answer.
1. What is the relationship of the volume between a prism and a pyramid of the same dimensions?
A. the volume of the pyramid is 2/3 of the volume of the prism
B. the volume of the pyramid is 3/3 of the volume of the prism
C. the volume of the pyramid is 1/3 of the volume of the prism
D. the volume of the pyramid is 3/2 of the volume of the prism
2. The volume of a cone is the volume of a cylinder if both are of the same dimensions.
A. double B. thrice
C. twice
D. 4 times
3. How many cones can fill the whole sphere with the same dimension?
A. 1
B. 2
C.3
D.4
4. If the volume of a cylinder is 120 m3, what will be the volume of a cone with the same dimension?
A.180m3
B. 60 m3
C. 40 m3
D. 30 m3
5. What is the length of the edge of a cube if it has a volume of 27 cubic inches?
A. 9 in
B. 6 in
C. 3 in
D. 2 in

Answers

Answer:

The answer for number 1 is C

How many natural numbers are there between 8² and 9² ?​

Answers

Answer:

19

Step-by-step explanation:

Answer:

i think the answer 17

81-64 =17

Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-

Answers

Answer:

I think about point Y ......

If planes A and B intersect, point w describes the intersection of line m and line n.

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.

In the given figure, the planes A and B intersected.

We have to find the point where the line l and line m intersects.

The intersection of a line and a line can be the empty set, a point, or another line.

Two straight lines will intersect at a point if they are not parallel.

The point of intersection is the meeting point of two straight lines.

The lines m and line n are intersected at the point w.

Hence, if planes A and B intersect, point w describes the intersection of line m and line n.

To learn more on Coordinate system click:

https://brainly.com/question/29762404

#SPJ7

Which is the graph of the parent function f(x) = x2?

Answers

Answer:

it should look like a U shape. Its called a parabola

(0,0) is the bottom center.

Step-by-step explanation:

A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting ​

Answers

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736

Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.​

Answers

Answer:

This Symbol has 4 lines of Symmetry

Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?

Answers

Answer:

850

Step-by-step explanation:

Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.

We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.

So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.


In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?

Answers

Answer:

Step-by-step explanation:

Answer: C) a=18

Step-by-step explanation: Hope i helped :)

The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width.



Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height.

Write the equation that represents the volume of the storage container in terms of its width.

A.
V = 6w2 + 12w
B.
V = 6w2 - 12
C.
V = 6w2 + 12
D.
V = 6w2 - 12w

Answers

Answer:

A

Step-by-step explanation:

Step 1, setting variables:

We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).

Step 2, writing equations:

Great! We have everything now. Let us write the equation by substituting our variables in:

[tex]V=l*w*h\\V=6w(w+2)\\[/tex]

Ok! Let us expand the equation:

[tex]V=6w^2+12w[/tex]

[tex]\fbox{A}[/tex]

I hope this helps! Let me know if you have any questions :)

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Use the following for problems 22-25​

Answers

Problem 22

a)

The face cards are Jack, Queen, King. We have four copies of each.

There are 3*4 = 12 face cards total.

12/52 represents the probability of picking a face card.

4/52 represents the probability of picking an ace, since we have 4 aces out of 52 cards. We don't drop to 51 since we put the first card back.

Multiplying the fractions gives (12/52)*(4/52) = 48/2704 = 3/169

Answer: 3/169

----------------------

b)

We do the same steps as before, but the 4/52 will be changed to 4/51. This is because the first card is not put back.

(12/52)*(4/51) = 48/2652 = 4/221

Answer: 4/221

========================================================

Problem 23

a)

4/52 represents the probability of picking a '2', and it also represents the probability of picking a '10' if we put the first card back

(4/52)*(4/52) = 16/2704 = 1/169

Answer: 1/169

----------------------

b)

We'll change the second instance of 4/52 into 4/51 because that first card isn't put back

(4/52)*(4/51) = 16/2652 = 4/663

Answer: 4/663

========================================================

Problem 24

a)

4/52 = probability of picking an ace

12/52 = probability of picking a face card

4/52 = probability of picking '7'

Each denominator is 52 because we are putting the cards back

(4/52)*(12/52)*(4/52) = 192/140608 = 3/2197

Answer: 3/2197

----------------------

b)

We do the same thing as before, but we decrease the denominator by 1 each time we pull out another card

(4/52)*(12/51)*(4/50) = 192/132600 = 8/5525

Answer: 8/5525

========================================================

Problem 25

a)

The probability of picking a king is 4/52. This is the same whether we're on the first king, second or third. This is because we're putting the card back.

(4/52)*(4/52)*(4/52) = 64/140608 = 1/2197

Answer: 1/2197

----------------------

b)

Now that the cards aren't put back, we'll have the denominators drop by 1 each time (52,51,50)

So the probability is

(4/52)*(4/51)*(4/50) = 64/132600 = 8/16575

Answer: 8/16575

Amanda, Bryan, and Carl are about to compete in 100
mixed IM swimming events. These are the only three
swimmers competing in this event. They are all working
hard to win first place.
How many different possible ways could the 3 swimmers
place?
2

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

Find two integers whose sum is -5 and product is -36

Answers

Answer:

-6 & 6

Step-by-step explanation:

-6 time 6 is -36

Answer:

-9+4= -5

Step-by-step explanation:

-9 times 4= -36

Negative Nine plus four equals negative five

negative Nine times four equals negative thirty six

Can :) mean happily taken on a bio? Alex got it on his?
Answer ASAPPPP
Someone

Answers

Answer:

Yes,

Step-by-step explanation:

When " :) " is used in a bio it means the person is happy

What are the coordinates of the point that is 3/8 of the way from A(-8, -9) to B (24, -1)

(-6,4)
(-2,4)
(4,-6)
(12,-4)

Answers

Answer:

C. (4, -6)

Hope it helps :)

If 5(y-2) - 3(y + 4) = 0, then y
IS
A. -1
B. 3
C. 7
D. 11​

Answers

Answer:

Y is -1.

Step-by-step explanation:

If you substitute the values, you find that that's the correct answer.

11 because you distribute the 5 to y and -2 and distribute the -3 to y and 4 so it would be (5y-10) and (-3y-12) combine like terms which would end in 2y and -22 set up as 2y=-22 and solve getting 11

A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?

Answers

the probability of it is 2/5

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
O f(x)= x2 – 3x-+3-17
O f(x)= 4x² -1245x+3/7
O f(x)=x2 – 3x? – X+21
O x) = 4x° - 12x - 28x+84

Answers

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

[tex]x^2-3x-7x+21[/tex] which simplifies to

[tex]x^2-10x+21[/tex] and we distribute in the 4:

[tex]4(x^2-10x+21)[/tex] to get

[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 14 cups of​ coffee, using 204 ounces of​ coffee, while collecting a total of ​$16.70. How many cups of each size did Kyle​ fill?
Kyle filled ___ ​10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.

Since a total of 14 cups of coffee was served:

[tex]a+b+c=14[/tex]

A total of 204 ounces of coffee was served. Therefore:

[tex]10a+14b+20c=204[/tex]

A total of $16.70 was collected. Hence:

[tex]0.95a+1.15b+1.5c=16.7[/tex]

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract a and b from both sides:

[tex]c=14-a-b[/tex]

Substitute this into both the second and third equations:

[tex]10a+14b+20(14-a-b)=204[/tex]

And:

[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]

And for the Third:

[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]

We can solve this using substitution. From the second equation, isolate a:

[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]

Substitute into the third:

[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]

Distribute and simplify:

[tex]-4.18+0.33b-0.35b=-4.3[/tex]

Therefore:

[tex]-0.02b=-0.12\Rightarrow b=6[/tex]

Using the equation for a:

[tex]a=7.6-0.6(6)=4[/tex]

And using the equation for c:

[tex]c=14-(4)-(6)=14-10=4[/tex]

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

what is the value of this expression

log2^8 + log3(1/3)​

Answers

Answer:

2

Step-by-step explanation:

log2^8 + log3(1/3)

=>3 + (-1)

=>2

give one reason why people loan money from the bank ​

Answers

Step-by-step explanation:

We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.

I have 8 carrots my Brother Ate 2
How Much I have left?​

Answers

Answer:

6?

Step-by-step explanation:

..........................

Share 30 000 bags of 20kg rice in the ratio 2:3:4:6 among Villages A, B, C and D in that order. (2 marks) How many bags of 20 kg rice will Villages B and C get?​

Answers

Answer:

2+3+4+6 = 15 parts

Village B gets 3 of 15 parts

3/15 * 30000 = 6000 bags

Village C gets 4 of 15 parts

4/15 * 6000 = 8000 bags

Answer:

each "share" needs "15" (2+3+4+6) "portions/bags"

2000 distributions

A-4000 bags/80000 kg

B-6000 bags/120000 kg

C-8000 bags/1680000 kg

D-12000 bags/240000 kg

Step-by-step explanation:

2/5+3/7 is the same as?​

Answers

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]

A fast-food chain claims one medium order of its onion rings weighs 114 grams. Patrice thinks she is getting less than what the restaurant advertises. She weighs the next 16 random orders of onion rings before she eats them and finds the sample mean is 112.4 grams and the standard deviation is 7.63 grams. What conclusion can be drawn α = 0.10?

Answers

Answer:

Patrice does not have sufficient evidence to reject the fast-food chain's claim.

Step-by-step explanation:

unless she already ate some fries, not enough evidence

Natural logs can be written as _______.

Answers

Answer:

Step-by-step explanation:

The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x.

Answer:

Ln x as opposed to log x

Step-by-step explanation:

If Sarah turns 15 on august 27 and her graduation year is 2024 how old will she be when she graduates high school?

Answers

Answer:

She will be 17

Step-by-step explanation:

My sister is like that but she's graduating in 22'

It sort of depends where Sarah lives -.-  

But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.

So 15 plus 3.

Sarah will be 18 when she graduates high school.

Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 1. Explain what a positive and negative number means in this situation. PLEASE HELP ME​

Answers

Answer: the numbers with the plus sign are positive and the ones with the negative sign are negative

Step-by-step explanation:

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