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BMGT 311: Exam 1 Study Guide

PROBLEMS

1. Mabel’s Ceramics spent $3000 on a new kiln last year, in the belief that it would cut energy usage 25% over the old kiln. This kiln is an oven that turns “greenware” into finished pottery. Mabel is concerned that the new kiln requires extra labor hours for its operation. Mabel wants to check the energy savings of the new oven, and also to look over other measures of their productivity to see if the change really was beneficial. Mabel has the following data to work with:

The year before

Year just ended

Production (finished units)

4000

4100

Labor (hrs)

350

375

Capital ($)

15000

18000

Energy (kWh)

3000

2600

Also, suppose that the average labor cost is $12 per hour and cost of energy is $0.40 per kwh.

a. Were the modifications beneficial? (Compute labor, energy, and capital productivity for the two years and compare.)

b. Compute percentage change in multi-factor productivity of the year just ended from that of year before.

c. If the multifactor productivity must be restored next year to what is was the year before, assuming the same output next year as the year just ended, by how the input must be reduced from what it is this year?

2. An Appliance Service company made house calls and repaired 10 lawn-mowers, 2 refrigerators, and 3 washers in an 8-hour day with his standard crew of 3 workers. The retail price for each respective service is $50, $200, and $120. The average wage for the workers is $12 per hour. The materials cost for a day was $200 while the overhead cost was $50.

a. What is the company’s labor productivity?

b. What is the multifactor productivity?

c. How much of a reduction in input is necessary for a 5% increase in multifactor productivity?

3. Consider the tasks, durations, and predecessor relationships in the following network. Draw the AON network and answer the questions that follow.

Activity Description

Immediate

Predecessor(s)

Optimistic

(Weeks)

Most Likely

(Weeks)

Pessimistic

(Weeks)

A

4

7

10

B

A

2

8

20

C

A

8

12

16

D

B

1

2

3

E

D, C

6

8

22

F

C

2

3

4

G

F

2

2

2

H

F

6

8

10

I

E, G

4

8

12

J

I

1

2

3

a. Schedule the activities of this project and determine (i) the expected project completion time, (ii) the earliest and latest start and finish times, and the slack for all the activities, and (iii) all the critical paths.

b. What is the probability of completion of the project before week 42?

c. What is the probability of completion of the project before week 35?

d. With 99% confidence what is your estimate for the project completion time.

4. Consider the following project. All activity times are in weeks.

Activity

Immediate

Predecessor(s)

Normal Time

Crash time

Normal cost

Crash cost

A

7

4

20000

38000

B

8

5

50000

74000

C

A

9

7

80000

110000

D

A, B

8

8

30000

30000

E

B

9

8

10000

12000

F

C

10

8

90000

124000

G

D, E

5

5

25000

25000

H

E

10

8

32000

40000

I

F, G

5

4

28000

35000

a. Draw an AON network.

b. Identify all the unique paths from start to finish and determine the critical path, normal project completion time, and normal project cost.

c. Compute MTR, Cost of crashing/week.

d. Which activity would you crash first and by how many weeks?

e. Determine the project time and cost after crashing the activity selected in (d).

5. Consider the following CPM Solver model.

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a) Determine the successor activities in cells I2 to I10.

b) Determine the Excel formulas for the following cells: F2, G2, C15, C18, D18, D21, C25, G19, G16, G15, H15, B27, B28, and B29.

c) What is the Solver Target cell for minimizing the project completion time?

d) What is the Solver changing cell range?

e) What are the Solver constraints?

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