7. The following data were obtained from a study of the times required to conduct a consumer test panel study:

Crash Schedule Normal Schedule

Activity Time Cost Time Cost

1-2 3 $6 5 $4

1-3 1 $5 5 $3

2-4 5 $7 10 $4

3-4 2 $6 7 $4

2-6 2 $5 6 $3

4-6 5 $9 11 $6

4-5 4 $6 6 $3

6-7 1 $4 5 $2

5-7 1 $5 4 $2

Note: Costs are given in thousands of dollars, time in weeks

(a) Find the all-normal schedule and cost.

(b) Find the all-crash schedule and cost.

(c) Find the total cost required to expedite all activities from all-normal (see a) to all-crash (see b).

(d) Find the least-cost plan for the all-crash time schedule. Start from the all-crash problem (see b). Assume partial crashing.

12. The network for shooting a TV commercial as shown in the table has a fixed cost of $90 per day, but money can be saved by shortening the project duration. Find the least-cost schedule.

Normal Crash Cost Increase

Activity Time Time (1st, 2nd, 3rd day)

1-2 7 4 $30, $50, $70

2-3 9 6 $40, $45, $65

1-3 12 10 $60, $60

2-4 11 9 $35, $60

3-4 3 3 -

Cost/Schedule Control System Criteria

1. Calculate cost schedule and variance.

2. Interpret the cost and schedule status of case 3, 10, 11, and 12.

Note: Cost variance = BCWP - ACWP (negative values = overruns)

Schedule variance = BCWP - BCWS (negative values = slippage)

Imhotep, project manager for building a pyramid, is asked by the Pharaoh: "How much of the pyramid is completed?" Imhotep knows that the pyramid will use 1 million stone blocks. He also knows that 700,000 blocks have been used to date. He tells the Pharaoh that the pyramid is 70 percent complete. What is the problem with this assessment?

7. The following data were obtained from a study of the times required

to conduct a consumer test panel study:

Crash Schedule Normal Schedule

Activity Time Cost Time Cost

1-2 3 $6 5 $4

1-3 1 $5 5 $3

2-4 5 $7 10 $4

3-4 2 $6 7 $4

2-6 2 $5 6 $3

4-6 5 $9 11 $6

4-5 4 $6 6 $3

6-7 1 $4 5 $2

5-7 1 $5 4 $2

Note: Costs are given in thousands of dollars, time in weeks

Find the all-normal schedule and cost.

Find the all-crash schedule and cost.

Find the total cost required to expedite all activities from all-normal

(see a) to all-crash (see b).

Find the least-cost plan for the all-crash time schedule. Start from

the all-crash problem (see b). Assume partial crashing.

The network for shooting a TV commercial as shown in the table has a

fixed cost of $90 per day, but money can be saved by shortening the

project duration. Find the least-cost schedule.

Normal Crash Cost Increase

Activity Time Time (1st, 2nd, 3rd day)

1-2 7 4 $30, $50, $70

2-3 9 6 $40, $45, $65

1-3 12 10 $60, $60

2-4 11 9 $35, $60

3-4 3 3 -

Cost/Schedule Control System Criteria

1. Calculate cost schedule and variance.

2. Interpret the cost and schedule status of case 3, 10, 11, and 12.

Note: Cost variance = BCWP â ACWP (negative values = overruns)

Schedule variance = BCWP â BCWS (negative values = slippage)

Imhotep, project manager for building a pyramid, is asked by the

Pharaoh: "How much of the pyramid is completed?" Imhotep knows that the

pyramid will use 1 million stone blocks. He also knows that 700,000

blocks have been used to date. He tells the Pharaoh that the pyramid is

70 percent complete. What is the problem with this assessment?

Case BCWS ACWP BCWP Cost Variance Schedule Variance

1 800 800 800

2 800 600 400

3 800 400 600

4 800 600 600

5 800 800 600

6 800 800 1,000

7 800 1,000 1,000

8 800 600 800

9 800 1,000 800

10 800 1,000 600

11 800 600 1,000

12 800 1,200 1,000

13 800 1,100 1,200

Crash Schedule Normal Schedule

Activity Time Cost Time Cost

1-2 3 $6 5 $4

1-3 1 $5 5 $3

2-4 5 $7 10 $4

3-4 2 $6 7 $4

2-6 2 $5 6 $3

4-6 5 $9 11 $6

4-5 4 $6 6 $3

6-7 1 $4 5 $2

5-7 1 $5 4 $2

Note: Costs are given in thousands of dollars, time in weeks

(a) Find the all-normal schedule and cost.

(b) Find the all-crash schedule and cost.

(c) Find the total cost required to expedite all activities from all-normal (see a) to all-crash (see b).

(d) Find the least-cost plan for the all-crash time schedule. Start from the all-crash problem (see b). Assume partial crashing.

12. The network for shooting a TV commercial as shown in the table has a fixed cost of $90 per day, but money can be saved by shortening the project duration. Find the least-cost schedule.

Normal Crash Cost Increase

Activity Time Time (1st, 2nd, 3rd day)

1-2 7 4 $30, $50, $70

2-3 9 6 $40, $45, $65

1-3 12 10 $60, $60

2-4 11 9 $35, $60

3-4 3 3 -

Cost/Schedule Control System Criteria

1. Calculate cost schedule and variance.

2. Interpret the cost and schedule status of case 3, 10, 11, and 12.

Note: Cost variance = BCWP - ACWP (negative values = overruns)

Schedule variance = BCWP - BCWS (negative values = slippage)

Imhotep, project manager for building a pyramid, is asked by the Pharaoh: "How much of the pyramid is completed?" Imhotep knows that the pyramid will use 1 million stone blocks. He also knows that 700,000 blocks have been used to date. He tells the Pharaoh that the pyramid is 70 percent complete. What is the problem with this assessment?

7. The following data were obtained from a study of the times required

to conduct a consumer test panel study:

Crash Schedule Normal Schedule

Activity Time Cost Time Cost

1-2 3 $6 5 $4

1-3 1 $5 5 $3

2-4 5 $7 10 $4

3-4 2 $6 7 $4

2-6 2 $5 6 $3

4-6 5 $9 11 $6

4-5 4 $6 6 $3

6-7 1 $4 5 $2

5-7 1 $5 4 $2

Note: Costs are given in thousands of dollars, time in weeks

Find the all-normal schedule and cost.

Find the all-crash schedule and cost.

Find the total cost required to expedite all activities from all-normal

(see a) to all-crash (see b).

Find the least-cost plan for the all-crash time schedule. Start from

the all-crash problem (see b). Assume partial crashing.

The network for shooting a TV commercial as shown in the table has a

fixed cost of $90 per day, but money can be saved by shortening the

project duration. Find the least-cost schedule.

Normal Crash Cost Increase

Activity Time Time (1st, 2nd, 3rd day)

1-2 7 4 $30, $50, $70

2-3 9 6 $40, $45, $65

1-3 12 10 $60, $60

2-4 11 9 $35, $60

3-4 3 3 -

Cost/Schedule Control System Criteria

1. Calculate cost schedule and variance.

2. Interpret the cost and schedule status of case 3, 10, 11, and 12.

Note: Cost variance = BCWP â ACWP (negative values = overruns)

Schedule variance = BCWP â BCWS (negative values = slippage)

Imhotep, project manager for building a pyramid, is asked by the

Pharaoh: "How much of the pyramid is completed?" Imhotep knows that the

pyramid will use 1 million stone blocks. He also knows that 700,000

blocks have been used to date. He tells the Pharaoh that the pyramid is

70 percent complete. What is the problem with this assessment?

Case BCWS ACWP BCWP Cost Variance Schedule Variance

1 800 800 800

2 800 600 400

3 800 400 600

4 800 600 600

5 800 800 600

6 800 800 1,000

7 800 1,000 1,000

8 800 600 800

9 800 1,000 800

10 800 1,000 600

11 800 600 1,000

12 800 1,200 1,000

13 800 1,100 1,200