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Problem 3C Pickles Products makes pizza ovens for commercial use. Tommy Pickles,

ID: 335300 • Letter: P

Question

Problem 3C

Pickles Products makes pizza ovens for commercial use. Tommy Pickles, CEO, is contemplating producing smaller ovens for use in high school and college kitchens. The activities necessary to build an experimental model and related data are given in the following table:

ACTIVITY

NORMAL TIME (WEEKS)

CRASH TIME (WEEKS)

NORMAL COST (S)

CRASH COST (S)

IMMEDIATE PREDECESSOR(S)

A

4

3

1,500

1,800

---

B

3

2

2,300

2,500

---

C

2

2

400

400

---

D

8

3

1,400

1,700

A

E

7

4

900

1,200

B

F

4

2

3,600

5,100

C

G

2

1

1,600

2,200

D, E

What is the project completion date?

Crash this project to 10 weeks at the least cost.

Crash this project to 8 weeks (which is the maximum it can be crashed) at the least cost.

ACTIVITY

NORMAL TIME (WEEKS)

CRASH TIME (WEEKS)

NORMAL COST (S)

CRASH COST (S)

IMMEDIATE PREDECESSOR(S)

A

4

3

1,500

1,800

---

B

3

2

2,300

2,500

---

C

2

2

400

400

---

D

8

3

1,400

1,700

A

E

7

4

900

1,200

B

F

4

2

3,600

5,100

C

G

2

1

1,600

2,200

D, E

Explanation / Answer

Critical path :-

AD G =14

BEG=12

CF = 6

Length of the project is equal to the critical path

A D G=14

Now 1 week D = 60

D = 7 weeks

ADG=13

2 week D= 60

D= 6

ADG=12

3week D =60

D= 5 ADG=11

4 week D = 60 D =4 ADG = 10

And so on

Least cost at the 10 weeks D A =60 = total crash cost / total crash time

Activities are crashed the critical path may change

Cost per week week to decrease 300 1 200 1 0 0 60 5 100 3 750 2 600 1
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