1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataliya [291]
3 years ago
5

The injection molding department of a company uses an average of 30 gallons of special lubricant a day. The supply of the lubric

ant is replenished when the amount on hand is 170 gallons. It takes four days for an order to be delivered. Safety stock is 50 gallons, which provides a stockout risk of 9 percent. What amount of safety stock would provide a stockout risk of 3 percent?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

Safety Stock = 1.881 *37.286=70.134

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

For this problem we know that the service level = 1-0.09= 0.91 or 91%. Now we can find the z score that accumulates 0.91 of the area below and 0.09 of the area above.

And this value is Z=1.34. And we can find it with the following excel code"1.341"

And then we can find the Safety stock given by this formula:

Safety Stock = z * Standard deviation of lead time

50= 1.341 * sd

sd=37.286

For the other case when the service level is 1-0.03 = 0.97 or 97% the corresponding z score is z=1.881

And the safety stock would be given by:

Safety Stock = 1.881 *37.286=70.134

You might be interested in
Felice knows that segment RS || segment QT. She wants to use the definition of a parallelogram to prove that the quadrilateral i
tangare [24]

Answer:

  see below

Step-by-step explanation:

The definition of a parallelogram is that opposite sides of the quadrilateral are parallel. Felice already knows one pair of opposite sides is parallel. By showing the slope of RQ is the same as the slope of ST, she can show the other pair of opposite sides is parallel, hence the figure is a parallelogram.

__

The other answer choices are essentially nonsense.

8 0
3 years ago
Help please I will give brainlyest 9th grade lidral arts
Assoli18 [71]

-5 + 12  is 7

-2 - 8 is -10

6 0
2 years ago
Sunita bought a 10Kg. box of grapes from the market. She gave
grigory [225]
4 1/4 kg grapes were left with her.
8 0
3 years ago
Read 2 more answers
HELP PLEASE!!! 45 POINTS AND BRAINLIEST FOR THE FIRST CORRECT ANSWER!!!!
zzz [600]

Answer:

Just took the quiz. Answer is D. 25/2 (sqrt(2)+sqrt(6))+65

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the slope?<br> Please help!!!
adell [148]
Check the picture below.

8 0
3 years ago
Other questions:
  • Can a Equilateral rectangle be a square
    8·2 answers
  • Write the standard equation of the circle in the graph. Picture included.
    13·1 answer
  • 4.1 x 103 ) x (1.6 x 10-2) = a.6.56 x 10 b.6.56 x 105 c.6.56 x 10-5 d.656 x 101
    13·1 answer
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
    10·1 answer
  • A) x and y are two numbers taken from the list below.
    5·1 answer
  • 1. Find the Surface Area of the Rectangular<br> Prism.<br> 5 ft<br> 4 Ft<br> 3 ft
    10·1 answer
  • Two teams, A and B, are about to play a game. Previous records show that A has an 80% chance of winning, while B has a 20% of wi
    9·2 answers
  • There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many
    5·1 answer
  • Mrs. Baxter deposits $2,000 in an account that earns 5% sample
    6·1 answer
  • A. C=22d<br> B. C= d + 22d<br> C. C= d + 22<br> D. D = 22c
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!