2. Block Commodities has gathered the following information concerning rock salt deliveries (tons) to its clients, which it believes are highly seasonal: Year 1 75 48 Month January February March April May June July August 145 September 181 October 190 November 100 December 81 Total 910 35 22 2 3 28 Year 2 76 34 48 34 6 5 33 98 197 201 101 70 903 Year 3 Year 4 95 117 34 52 12 56 35 12 2 35 109 162 220 110 87 913 25 1 10 28 120 145 180 98 88 920 Average Monthly 90.75 42 37.75 29 5.25 5 31 118 171.25 197.75 102.25 81.5 a. Suppose Block Commodities calculated a set of seasonal relatives to express this monthly variation in rock salt deliveries, using this set of data. What would the value of the seasonal relative for the month of each month? b. Block Commodities believes that this year will be a busy year for rock salt deliveries, forecasting a total of 1,200 tons to be delivered during the year. Using this annual forecast and Block's set of seasonal relatives, what would be a logical forecast for May of next year? What would be a logical forecast for October of next year?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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2. Block Commodities has gathered the following information concerning rock salt deliveries (tons)
to its clients, which it believes are highly seasonal:
Month
January
February
March
April
May
June
July
August
Year 1 Year 2
76
34
48
34
6
5
33
98
197
201
101
70
75
48
35
22
2
3
28.
145
September 181
October
190
November 100
December 81
Total.
910
Year 3
95
34
12
35
12
2
35
109
162
220
110
87
903 913
Year 4
117
52
56
25
1
10
28
120
145
180
98
88
920
Average
Monthly
90.75
42
37.75
29
5.25
5
31
118.
171.25
197.75
102.25
81.5
a. Suppose Block Commodities calculated a set of seasonal relatives to express this
monthly variation in rock salt deliveries, using this set of data. What would the value of
the seasonal relative for the month of each month?
b. Block Commodities believes that this year will be a busy year for rock salt deliveries,
forecasting a total of 1,200 tons to be delivered during the year. Using this annual
forecast and Block's set of seasonal relatives, what would be a logical forecast for May
of next year? What would be a logical forecast for October of next year?
Transcribed Image Text:2. Block Commodities has gathered the following information concerning rock salt deliveries (tons) to its clients, which it believes are highly seasonal: Month January February March April May June July August Year 1 Year 2 76 34 48 34 6 5 33 98 197 201 101 70 75 48 35 22 2 3 28. 145 September 181 October 190 November 100 December 81 Total. 910 Year 3 95 34 12 35 12 2 35 109 162 220 110 87 903 913 Year 4 117 52 56 25 1 10 28 120 145 180 98 88 920 Average Monthly 90.75 42 37.75 29 5.25 5 31 118. 171.25 197.75 102.25 81.5 a. Suppose Block Commodities calculated a set of seasonal relatives to express this monthly variation in rock salt deliveries, using this set of data. What would the value of the seasonal relative for the month of each month? b. Block Commodities believes that this year will be a busy year for rock salt deliveries, forecasting a total of 1,200 tons to be delivered during the year. Using this annual forecast and Block's set of seasonal relatives, what would be a logical forecast for May of next year? What would be a logical forecast for October of next year?
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