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
The following chips are placed in a bucket: 1 red, 9 yellow, 6 blue, and 11 green. One chip is randomly selected from the bucket
Oxana [17]

Answer:

20 out of 27

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A yard of fabric costs $12.99. How much will 5 feet cost?
Aloiza [94]

Answer:

$21.65

brainliest?

Step-by-step explanation:

1 yard = 3 feet

so 5 feet would =  to 1 2/3 yards = 5/3 yards

12.99*5/3

12 99/100=1299/100

1299/100 x 5/3=433/20

433/20 = 21  13/20

13/20 x  5/5= 65/100=0.65

0.65+21

$21.65

hope this helped!

have a good day!

8 0
3 years ago
Which subset of the real numbers contains the square root of 50
Pie
There are an infinite number of such subsets. One of them is the set of real numbers in the interval (7, 8). Perhaps you're thinking "irrational" numbers, as opposed to "integers" or "rational" numbers.
8 0
3 years ago
5x + 3y=33 when y= 2x + 1
inn [45]
Hope that this helps.

3 0
3 years ago
Find the surface area of the composite solid. round the answer to the nearest hundredth.
lubasha [3.4K]
The picture in the attached figure

[surface area of the composite solid]=1*(4*6)+2*(4*4)+2*(4*6)+2*(4*√13/2)+2*(6*2√2/2)
[surface area of the composite solid]=24+32+48+4√13+12√2
[<span>surface area of the composite solid]=135.39 yd</span>²

the answer is
135.39 yd²

5 0
3 years ago
Other questions:
  • What type of function is shown above?
    13·1 answer
  • Verify<br> (2cos2x)/(sin2x) =cotx - tanx
    9·1 answer
  • A fraction equal to 2/3 that has the denominator of 12
    7·2 answers
  • What number must you add to complete the square? x2 + 14x = -5
    10·2 answers
  • What number should be added to both sides of the equation to complete the square x^2+8x=4​
    12·2 answers
  • HELP PLEASE????<br> ???????
    10·2 answers
  • Michael has a set of 24 math problems to do for homework. Michael completed of his homework
    5·1 answer
  • K is between P and Q. Suppose PQ- 10x - 16, PK - 6x + 8, and KQ-8. What is PQ?
    5·1 answer
  • GUYS PLEASE HELP ME PLEAS PLEASE PLEASE FOR THE LOVE OF GOD
    9·1 answer
  • The product of a number, x, and 3 is six more than the product of the number and 2.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!