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Sati [7]
2 years ago
11

A company currently has 200 units of a product on hand that it orders every 2 weeks when the salesperson visits the premises. De

mand for the product averages 20 units per day with a stand deviation of 5 units. Lead time for the product to arrive is 7 days. Management has a goal of a 95% probability of not seeking out for this product. The salesperson is due to come in late this afternoon when 180 units are left in stock (assuming that 20 are sold today). How many units should be ordered
Mathematics
1 answer:
disa [49]2 years ago
5 0

Answer: 289 units

Step-by-step explanation:

Given the following :

Inventory (I) = 180

Lead time (L) = 7 days

Review time (T) = 2 weeks = 14 days

Demand (D) = 20

Standard deviation (σ) = 5

Zscore for 95% probability = 1.645

Units to be ordered :

D(T + L) + z(σT+L)

(σT+L) = √(T + L)σ²

= √(14 + 7)5²

= √(21)25

= 22.9

D(T + L) + z(σT+L) - I

20(14 + 7) + 1.645(22.9 + 7) - I

= 420 + 49.1855 - 180

= 289.1855

= 289 quantities

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What values of b satisfy 3(2b+3)^2 = 36

we have
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
take the square root of both sides
( 2b+3)} =(+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3

b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}

b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
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the answer is
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b2=-\sqrt{3} -\frac{3}{2}
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2 years ago
Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the a
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Answer:

Hence, the two numbers chosen or plotted by them are:

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Step-by-step explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

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<em>We know that</em><em> Absolute value</em><em> of a positive number is a number itself and absolute value of a negative number is it's inverse.</em>

Hence, the two numbers that satisfy the above three properties are:

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Also |-75|+|75|=75+75=150

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