Given the data and information that follows in this example, compute the slope and maximum reduction time for each activity. Also compute the total direct costs for durations 32, 30, 29, 28, and 27 time-units. Assume indirect costs of $170, $150, $129, $122, $118, and $110, respectively, for each liste duration. What are the optimum project duration and cost?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
Question

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Crashing - Deciding what to tackle first
Given the data and information that follows in this example,
compute the slope and maximum reduction time for each
activity. Also compute the total direct costs for durations 32, 31,
30, 29, 28, and 27 time-units. Assume indirect costs of $170,
$150, $129, $122, $118, and $110, respectively, for each listed
duration. What are the optimum project duration and cost?
Direct costs
Maximum
Activity
ID
Normal
Crash
crash
time
Slope
Time
Cost
Time
Cost
7
50
70
B
16
14
15
20
12
4
10
12
21
7.
30
E
10
3
19
13
22
12
30
The first decision
B
TIME
32
LEGEND
16
8.
ACT
A.
DUR
E
TOTAL DIRECT
COST
C
12
13
B
TIME
E
TOTAL DIRECT
COST
F
ACTIVITIES CHANGED
Transcribed Image Text:Crashing - Deciding what to tackle first Given the data and information that follows in this example, compute the slope and maximum reduction time for each activity. Also compute the total direct costs for durations 32, 31, 30, 29, 28, and 27 time-units. Assume indirect costs of $170, $150, $129, $122, $118, and $110, respectively, for each listed duration. What are the optimum project duration and cost? Direct costs Maximum Activity ID Normal Crash crash time Slope Time Cost Time Cost 7 50 70 B 16 14 15 20 12 4 10 12 21 7. 30 E 10 3 19 13 22 12 30 The first decision B TIME 32 LEGEND 16 8. ACT A. DUR E TOTAL DIRECT COST C 12 13 B TIME E TOTAL DIRECT COST F ACTIVITIES CHANGED
The 2nd and 3rd decision
Exercise 6-2
TIME
B
TOTAL DIRECT
E
COST
ACTIVITIES CHANGED
C
TIME
B
TOTAL DIRECT
E
COST
ACTIVITIES CHANGED
F
The 4th and 5th decisions
TIME
TOTAL DIRECT
COST
ACTIVITIES CHANGE
D
F
TIME
D]
TOTAL DIRECT
E
COST
ACTIVITIES CHANGED
F
Project
Duration
27
28
29
30
31
32
Total Direct
Total Indirect
s110
$118
S122
$129
$150
$170
Grand Total
Transcribed Image Text:The 2nd and 3rd decision Exercise 6-2 TIME B TOTAL DIRECT E COST ACTIVITIES CHANGED C TIME B TOTAL DIRECT E COST ACTIVITIES CHANGED F The 4th and 5th decisions TIME TOTAL DIRECT COST ACTIVITIES CHANGE D F TIME D] TOTAL DIRECT E COST ACTIVITIES CHANGED F Project Duration 27 28 29 30 31 32 Total Direct Total Indirect s110 $118 S122 $129 $150 $170 Grand Total
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