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dusya [7]
3 years ago
5

Zeus Computer Chips, Inc., used to have major contracts to produce the Centrino-type chips. The market has been declining during

the past three years because of the quad-core chips, which it cannot produce, so Zeus has the unpleasant task of forecasting next year. The task is unpleasant because the firm has not been able to find replacement chips for its product lines. Here is demand over the past 12 quarters:
Two Years
Ago Last Year This Year
I 4800 I 3500 I 3,200
II 3500 II 2700 II 2100
III 4300 III 3500 III 2700
IV 3,000 IV 2,400 IV 1700
Use the decomposition technique to forecast demand for the next four quarters.
Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Step-by-step explanation:

Forecast demand in the next four quarters

intercept ( a ) = 3116.67 - (- 168.25 * 6.5 ) = 4210.29

Slope ( b ) = ( 219041.15 ) - ( 12 * 6.5 * 3,116.67 ) / 650 - ( 12 * ( 6.5)^2 )

                 = -24059.11 / 143 = -168.25

Forecast demand = a + bt = 4210.29 + 168.25t  

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Values calculated using data from table attached below ( table 2 )

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Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.
MariettaO [177]

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

7 0
3 years ago
Complete the equations.<br> look at photo
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Answer:

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Step-by-step explanation:

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Volume of the cone = (1/3) pi r^2 h

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Step-by-step explanation:

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