Bragg\'s Bakery is building a new automated bakery in downtown Sandusky. Here ar

Question

Bragg's Bakery is building a new automated bakery in downtown Sandusky. Here are the activities that need to be completed to get the new bakery built and the equipment installed.

a. Identify the critical path.

b. What is the normal project length?

Normal project length            weeks

c. What is the project length if all activities are crashed to their minimum?

Project length             weeks

d. Bragg's loses $3,600 in profit per week for every week the bakery is not completed. How many weeks will the project take if we are willing to pay crashing cost as long as it is less than $3,600?

The project will take             weeks

ACTIVITY PREDECESSOR NORMAL TIME (WEEKS) CRASH TIME (WEEKS) EXPEDITING
COST/WEEK A — 6 5 $ 3,500 B A 5 3 3,900 C A 11 8 4,200 D B, C 8 7 2,200 E C 3 2 2,500 F D, E 5 4 4,800

Explanation / Answer

The precedence diagram of activities as follows :

                                                                    A

      B

                         C

                                               D

E

                                                           F

The possible parallel paths and their corresponding Normal durations as follows :

A-B-D-F = 6 + 5 + 8 + 5 = 24 weeks

A-C-D-F = 6 + 11 + 8 + 5 = 30 weeks

A-C-E-F = 6 + 11 + 3 + 5 = 25 weeks

A-C-D-F by having the longest duration is the critical path , Normal project length is same as duration of critical path which is 30 weeks

CRITICAL PATH = A-C-D-F

NORMAL PROJECT LENGTH = 30 WEEKS

Duration of A-B-D-F if all its activities are crashed to maximum = 5 + 3 + 7 + 4 weeks = 19 weeks

Duration of A-C-D-F if all its activities are crashed to maximum = 5 + 8 + 7 + 4 weeks = 24 weeks

Duration of A-C-E-F if all its activities are crashed to maximum = 5 + 8 + 2 + 4 weeks = 19 weeks

The critical path with longest duration is again A-C-D-F and the revised project length 24 weeks

THE PROJECT WILL TAKE 24 WEEKS

Since crashing cost cannot be more than $3600 , following are the options :

Crash activity D by 1 day ( from 8 weeks to 7 weeks ) at a cost of $2200

Crash activity E by 1 day ( 3 weeks to 2 weeks ) at a cost of $2500

Crash activity A by 1 days ( 6 weeks to 5 weeks ) at a cost of $3500

The least cost option is to crash activity D by 1 week at a cost of $2200

The revised project duration i.e. duration of A-C-D-F = 6 + 11 + 7 + 5 weeks = 29 weeks

THE PROJECT WILL TAKE 29 WEEKS

                                                                    A

      B

                         C

                                               D

E

                                                           F

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