The company decided that the project in the previous problem had to be expedite in order to optimize (minimize) the project cost. Expediting can be used to trade direct cost for indirect cost, since expediting reduces the indirect cost of the project by a fixed amount per day, while expediting an activity increases its total direct cost. The Accounting Department found that indirect costs amount to $100 per day, while activity direct costs as well as their normal and expedited times are given in the table below. Activity Duration (Days) Expedited Time (Days) Normal Direct Cost ($) Expedited Direct Cost ($) A 32 26 200 500 B 21 20 300 375 C 30 30 200 200 D 45 40 200 800 E 26 20 700 1,360 F 28 24 1,000 1,160 G 20 18 400 550 What is the optimal time to complete the project? What is the optimal project cost?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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The company decided that the project in the previous problem had to be expedite in order to optimize (minimize) the project cost. Expediting can be used to trade direct cost for indirect cost, since expediting reduces the indirect cost of the project by a fixed amount per day, while expediting an activity increases its total direct cost. The Accounting Department found that indirect costs amount to $100 per day, while activity direct costs as well as their normal and expedited times are given in the table below.

Activity

Duration (Days)

Expedited Time (Days)

Normal Direct Cost ($)

Expedited Direct Cost ($)

A

32

26

200

500

B

21

20

300

375

C

30

30

200

200

D

45

40

200

800

E

26

20

700

1,360

F

28

24

1,000

1,160

G

20

18

400

550

  1. What is the optimal time to complete the project?
  2. What is the optimal project cost?
  3.  
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