Practical Management Science
5th Edition
ISBN: 9781305250901
Author: Wayne L. Winston, S. Christian Albright
Publisher: Cengage Learning
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Chapter 7.6, Problem 29P
Summary Introduction
To calculate: The ratings of the teams.
Non-linear programming (NLP):
Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.
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A company that supplies gasoline to a city has recorded the weeklyusage (tons/week) for the past 3 years. The file BA3653GasolineRecord.xlsxcontains this record.(a) Propose a method for predicting the demand for gasoline. Use thatmethod to forecast demand for next year (weeks 157 to 208).(b) Improve your prediction in part (a) by including a statement about demand variability. (Hint: Look at or the range of the data.)
week
demand (tons)
1
1174.5
2
1316.2
3
1197
4
1127.3
5
1193.1
6
1260.7
7
1378.2
8
1273.7
9
1366.4
10
1113
11
1177.7
12
1056
13
1291.2
14
1269.1
15
1289.6
16
1181
17
1249
18
1212
19
1286.2
20
1204.8
21
1266.2
22
1332.4
23
1236.3
24
1266.1
25
1415.3
26
1100.1
27
1208.1
28
1505.1
29
1282.7
30
1190.5
31
1152.8
32
1089.7
33
1404.7
34
1308.6
35
1255.4
36
1106.7
37
1484.6
38
1317.4
39
1294.7
40
1154
41
1449.9
42
1174.9
43
1466.9
44
1282.4
45
1228
46
1174
47
1196.2
48
1443.8
49…
Create a line graph for this set of monthly sales numbers.
Run a regression analysis.
What is the regression equation?
Is the regression equation significant? How can you tell?
What is the Rsquare? What does this signify?
What is the sales forecast for month 13?
1
550
2
548
3
546
4
549
5
550
6
548
7
551
8
551
9
552
10
551
11
553
12
553
A pharmacist has been monitoring sales of a certain over-the-counter pain reliever. Daily sales duringthe last 15 days wereDay: 1 2 3 4 5 6 7 8 9Number sold: 36 38 42 44 48 49 50 49 52Day: 10 11 12 13 14 15Number sold: 48 52 55 54 56 57a. Which method would you suggest using to predict future sales—a linear trend equation or trendadjustedexponential smoothing? Why?b. If you learn that on some days the store ran out of the specific pain reliever, would that knowledgecause you any concern? Explain.c. Assume that the data refer to demand rather than sales. Using trend-adjusted smoothing with aninitial forecast of 50 for week 8, an initial trend estimate of 2, and .3, develop forecastsfor days 9 through 16. What is the MSE for the eight forecasts for which there are actual data?
Chapter 7 Solutions
Practical Management Science
Ch. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Pricing Decisions at Madison The Madison Company...Ch. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10P
Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - PRICING SUITS AT SULLIVANS Sullivans is a retailer...Ch. 7.3 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Prob. 17PCh. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - Prob. 27PCh. 7.6 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - The method for rating teams in Example 7.8 is...Ch. 7.7 - Prob. 35PCh. 7.7 - Prob. 36PCh. 7.7 - Prob. 37PCh. 7.7 - The stocks in Example 7.9 are all positively...Ch. 7.7 - Prob. 39PCh. 7.7 - Prob. 40PCh. 7.7 - Prob. 41PCh. 7.7 - Prob. 42PCh. 7.8 - Given the data in the file Stock Beta.xlsx,...Ch. 7.8 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Another way to derive a demand function is to...Ch. 7 - Prob. 48PCh. 7 - If a monopolist produces q units, she can charge...Ch. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - A beer company has divided Bloomington into two...Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Based on Grossman and Hart (1983). A salesperson...Ch. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 1.1CCh. 7 - Prob. 1.2CCh. 7 - Prob. 1.3CCh. 7 - Prob. 1.4C
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