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MissTica
3 years ago
7

The paper usage at a small copy center is normally distributed with a mean of 5 boxes of paper per week, and a standard deviatio

n of 0.5 boxes. It takes 2 weeks for an order of paper to be filled by its supplier. What is the safety stock to maintain a 99% service level?
Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

1.649 approximately 2

Step-by-step explanation:

S.d = standard deviation = 0.5

Time taken = lead time = 2 weeks

Mean = demand for week = 5 boxes

We are required to find the safety stock to maintain at 99% service level.

At 99% level, the Z value is equal to 2.326.

Therefore,

Safety stock = z × s.d × √Lt

= 2.326 × 0.5 x √2

= 1.649

Which is approximately 2.

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The tires on a mining truck are 14 ft tall. Which measurement is it (diameter, radius, or circumference)
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3 years ago
10x - 5y = -25<br> l0x+8y=14
balandron [24]

Greetings,

<em>I hope you and your family are staying safe and healthy! </em>

Answer: x = -1 and y = 3

Step-by-step explanation:

10x - 5y = -25 \\10x + 8y = 14

Let's start by solving 10x - 5y = -25 for x

10x - 5y=-25

Add 5y to both sides

10x - 5y + 5y = -25+5y \\10x = 5y - 25

Now we need to divide both sides by 10

\frac{10x}{10} = \frac{5y-25}{10}

x = \frac{1}{2} y + \frac{-5}{2}

That's not the answer for x. We are not done yet :)

Now we need to substitute \frac{1}{2} y + \frac{-5}{2} for x

10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14

Now we need to simply both sides

13y - 25 = 14

Now we need to add 25 to both sides

13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3

We have the valuee for y! Now we need to find the value for x

To find the value of x, we need to substitute 3 for y in:

x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1

Therefore,

The answer is x = -1 and y = 3

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

Please kindly give me 5 stars and leave a thanks if you find my answer to be helpful. Thanks!

3 0
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