Asked by Siqian Chang on Jun 19, 2024

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John's House of Pancakes uses a weighted moving average method to forecast pancake sales. It assigns a weight of 5 to the previous month's demand, 3 to demand two months ago, and 1 to demand three months ago. If sales amounted to 1000 pancakes in May, 2200 pancakes in June, and 3000 pancakes in July, what should be the forecast for August?

A) 2400
B) 2511
C) 2067
D) 3767
E) 1622

Weighted Moving Average Method

A forecasting technique that assigns different weights to historical data points, giving more importance to more recent data.

Pancake Sales

The commercial activity of selling pancakes, which can serve as an indicator of consumer interest or market trends in particular food products.

Forecast for August

A prediction or estimation of future events or conditions specific to the month of August, often used in sales, weather, or production planning.

  • Gain an insight into the attributes and applications of time-series analysis within the realm of forecasting.
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SS
Samantha SomaiJun 19, 2024
Final Answer :
B
Explanation :
To compute the weighted moving average forecast, we multiply the actual demand in each of the past three months by the corresponding weight and sum the results. We next divide the sum of these products by the sum of the weights.

August forecast = (5 x July demand) + (3 x June demand) + (1 x May demand) / (5 + 3 + 1)
= (5 x 3000) + (3 x 2200) + (1 x 1000) / 9
= 15,000 + 6,600 + 1,000 / 9
= 22,600 / 9
= 2511

Therefore, the forecast for August is 2511 pancakes. The answer is B.