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Klio2033 [76]
3 years ago
12

What is the best way to manage oil transport on

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0
Oil supported machine
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Weekly demand for a particular item averages 30 units, with a standard deviation of 4. This item is managed with a fixed-order-i
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Answer:

(B)93

Explanation:

Since we are using a fixed-order-interval model,

The Amount to Order=Expected Demand During protection Interval+Safety Stock-Amount at Hand

=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A

Where:  

d=weekly demand

OI=Order Interval

LT=Lead Time

z=Standard Deviation of Desired Service Level

\sigma_{d}=Standard Deviation of weekly Demand

A= Amount at Hand

=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A

[30(3 + 1)] + [1.964*4*\sqrt{3 + 1} - 43

= 120 + 15.712 - 43 = 92.7

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3 years ago
The area of triangle ABC is _____. A 60 B65 C130 D150
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If the cost of a pound of nails increased from $2.29 to $2.48. what is the percent of the increase to the whole number percent?
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Read 2 more answers
The top and bottom margins of a poster are each $3$ cm and the side margins are each $2$ cm. If the area of printed material on
babymother [125]

Answer:

Therefore the dimension of the poster is 12 cm by 8 cm.

Step-by-step explanation:

Let the length of the poster be x and the width be y.

Given that the area of the poster is 96 cm².

∴xy =96

\Rightarrow y= \frac{96}{x}

The sides margins each are 2 cm and the top and bottom margins of the poster are each 3 cm.

The length of printing space is =(x- 2.3) cm

                                                   = (x-6) cm

The width of the printing space is =(y-2.2) cm

                                                         =( y-4 )cm

The area of the printing space is A=(x-6)(y-4) cm²

∴A=(x-6)(y-4)  

\Rightarrow A=(x-6)(\frac{96}{x}-4)    [ Putting y= \frac{96}{x}  ]

\Rightarrow A=120-\frac{576}{x}-4x

Differentiating with respect to x

A'= \frac{576}{x^2}-4

Again differentiating with respect to x

A''=-\frac{1152}{x^3}

To find the minimum area, we set A'=0

\therefore  \frac{576}{x^2}-4=0

\Rightarrow \frac{576}{x^2}=4

\Rightarrow x^2=\frac{576}{4}

\Rightarrow x^2 =144

\Rightarrow x=\pm 12

Dimension can't be negative.

Therefore x=12

If x=12, the value of A''>0,then at x=12, the area of the poster will be minimum.

If x=12, the value of A''<0,then at x=12, the area of the poster will be minimum.

\therefore A''|_{x=12}=-\frac{1152}{12^3}

Therefore at x= 12 cm the area of the poster will be maximum.

The width of the poster is y=\frac{96}{12} = 8 cm

Therefore the dimension of the poster is 12 cm by 8 cm.

3 0
3 years ago
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