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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

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KATRIN_1 [288]
I think it would be (D. 88)

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3 0
3 years ago
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q
Mumz [18]

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

\sqrt{ {( n  -  n}) ^{2} +  {( 3-  ( - 2)  })^{2}   }

=  >  \sqrt{ {(3 + 2)}^{2} }  =  \sqrt{ {5}^{2} }  = 5

Distance between P & R =

\sqrt{ {(n - 0)}^{2} +  {(3 - 3)}^{2}  }

=  >  \sqrt{ {n}^{2} }  = n

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

n = 5

8 0
2 years ago
Cual es la ecuacion lineal de estos infinita solucion o no solucion<br>​
coldgirl [10]

Cuando has simplificado la ecuación lo mas posible y las expresiones de los dos lados quedan iguales, hay soluciones infinitas.  Pero, dado que lo has simplificado y son diferentes, no hay solución.

1.) 7x = 12 + 7x - 12

=> 7x = 7x => infinita solución

2.) x - 11 = 11 + x

=> x = 22 + x => no solución

3.) 2(4x - 6) = 8(x + 2)

=> 8x - 12 = 8x + 16 => 8x = 8x + 28 => no solución

4.) 2x - 9 = 2x - 9

=> infinita solución

5.) 8 + 4x = 4x + 10

=> 4x = 4x - 2 => no solución

6 0
3 years ago
9. What is the slope of the line through the points (-2, -1) and (4, 3)?
Fofino [41]

Step-by-step explanation:

given points,

(-2, -1) and (4,3)

we know,

slope of line = y_2 - y_1/ x_2 - x_1

x_1 and y_1 = -2 , -1

x_2 and y_2 = 4 , 3

according to the formula

3 - (-1)/4 - (-2)

→ 3 + 1/4 + 2

→ 4/6

→ 2/3

or (2,3)

therefore, slope of the given line is (2,3).

Hope this answer helps you dear!

4 0
3 years ago
The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of ma
Brilliant_brown [7]

The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.

If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:

nPr = n!{(n - r)!}.

In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.

Since the position is to be chosen in a specific order, we will follow permutation.

The number of positions to be chosen (r) = 2.

The number of members (n) = 16.

Thus, the number of ways is given as:

nPr = n!{(n - r)!},

or, 16P2 = 16!{(16 - 2)!},

or, 16P2 = 16!/14! = 15*16 = 240.

Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is <u>240 ways</u>. Computed using permutations.

Learn more about permutations at

brainly.com/question/4658834

#SPJ4

6 0
2 years ago
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