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Trend Analysis - seasonal variations

JJames9y ago
Struggling slightly with a question on the P1 mock on trend. Could someone please break down the workings, for question below. Many Thanks James The trend for sales of Product A is represented by the following: y = 10,000 + 3,000x where: y = trend for sales units in a quarter x = the quarter number, where 1 = quarter 1 of year 1, and so on. Actual sales of Product A in Year 1 were affected by seasonal variations. The number of units sold in quarter 2 was 18,000. What are the expected sales of Product A (in units) for Year 2, quarter 2, after adjusting for seasonal variations using the multiplicative model? Give your answer to the nearest whole unit. Answer is 31500
C-Cath - CIMA Tutor9y ago#1
Hi, Ok so in Q2 yr1 - the quarter number will be 2 so we insert that into the trend equation: The trend says that units for that period should be: 10000 + 3000(2) = 16000 units The actual units were 18000 So it shows a quarter 2 seasonal variation of 2000 units (this means a 2000/16000 = +12.5% variation). We assume this variation will apply to all quarter 2 sales in future So coming to calculate Quarter 2 - year 2 - our quarter number will be 6 For that period the trend says units will be 10000 + 3000(6) =28000units and we now need to increase this for a seasonal variation of 12.5% so 28000 x 1.125= 31500 units Hope you can follow - please let me know if not :-) Cath
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