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qwelly [4]
3 years ago
6

Given an actual demand of 64, a previous forecast of 59, and an of .3, what would the forecast for the next period be using simp

le exponential smoothing
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer: 60.5

Step-by-step explanation:

The forecast for the next period using the simple exponential smoothing method is given by:

D\times \alpha+F(1-\alpha) , where D= actual demand for the recent period, \alpha= smoothing factor, F= forecast for the recent period .

Given: D= 64, \alpha=0.34 , F= 59

The forecast for the next period  = 64\times0.3+59(1-0.3)

\\\\= 64\times0.3+59\times0.7\\\\=19.2+41.3\\\\=60.5

Hence, the forecast for the next period = 60.5

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For example:

1 km = 1000 m = 10000 dm = 100000 cm = 1000000 mm

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5 0
3 years ago
Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar
Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

Flour = 4 cups

Sugar = 1 1/3 cups

Recipe for 36 cookies

48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

4*x = 3*4

4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

Sugar used in 36 cookies = y cups

Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

8 0
3 years ago
A table is 4 ft high. A model of the table is 6 in. high. What is the ratio of the height of the actual table to the height of t
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Answer:

8:1

Step-by-step explanation:

the actual table's height in inches is 4*12 = 48 inches.

48/6 = 8

so the ratio is 8:1.

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lora16 [44]
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