Sales Management Training Program Final Examination please answer all questions and put it into file word Final Examination
[1] Doug Casey is in charge of planning and coordinating next spring’s sales management
training program for his company. Doug listed the following activity information for the project:
Time (weeks)
Activity Description
Immediate
Predecessor
Optimistic
Most
Probable
Pessimistic
A
Plan topic
—
1.5
2
2.5
B
Obtain speakers
A
2
2.5
6
C
List meeting
locations
—
1
2
3
D
Select location
C
1.5
2
2.5
E
Finalize speaker
travel plans
B,D
0.5
1
1.5
F
Make final
check with
speakers
E
1
2
3
G
Prepare and mail
brochure
B,D
3
3.5
7
H
Take
reservations
G
3
4
5
I
Handle last
minute details
F,H
1.5
2
2.5
a.
b.
c.
d.
Draw a project network
Prepare an activity schedule
What are the critical activities and what is the expected project completion time?
If Doug wants a 0.99 probability of completing the project on time, how far ahead of the
scheduled meeting date should he begin working on the project?
[2]. Assume that the following quantity discount schedule is appropriate. If annual demand is
120 units, ordering costs are $20 per order, and annual holding cost rate is 25%, what order
quantity would you recommend?
Order Size
Discount (%)
Unit Cost
0 to 49
0
$30.00
50 to 99
5
$28.50
100 or more
10
$27.00
3. Beauty Bar Soap is produced on a production line that has an annual capacity of 60,000 cases.
The annual demand is estimated at 26,000 cases, with the demand rate essentially constant
throughout the year. The cleaning, preparation, and setup of the production line cost
approximately $135. The manufacturing cost per case is $4.50, and the annual holding cost is
figured at a 24% rate. What is the recommended production lot size? State the total cost and
also the cycle time.
4. Office Automation, Inc., developed a proposal for introducing a new computerized office system
that will standardize the electronic archiving of invoices for a particular company. Contained in
the proposal is a list of activities that must be accomplished to complete the new office system
project. Use the following relevant information about the activities:
Activity
Description
A
B
C
D
E
Plan needs
Order equipment
Install equipment
Set up training lab
Conduct training
course
Test system
F
Immediate
Normal
Predecessor Time
(weeks)
—–10
A
8
B
10
A
7
D
10
Crash
Time
(weeks)
8
6
7
6
8
Normal
Cost
($1000s)
30
120
100
40
50
Crash Cost
($1000s)
C,E
3
60
——-
3
70
150
160
50
75
a) Identify the critical path, and what is the expected project completion time?
b) Assume that the company wants to complete the project in six months or 26 weeks, use the trial
and error method to recommend crashing decisions that will meet the desired completion time
at the least possible cost. What will be the total crash cost? And what will be the total cost for
the project?
c) Formulate the crash problem as a Linear Programming problem. Do not solve the LP problem.
5. The Ace Manufacturing Company has orders for three similar products:
Product
Order (Units)
A
2000
B
500
C
1200
Three machines are available for the manufacturing operations. All three machines can produce all the
products at the same production rate. However, due to varying defect percentages of each product on
each machine, the unit costs of the products vary depending on the machine used. Machine capacities
for the next week and the unit costs are as follows:
Machine
1
2
3
Capacity (units)
1500
1500
1000
A
$1.00
$1.30
$1.10
Product
B
$1.20
$1.40
$1.00
a) Show the linear programming formulation of this transportation problem.
b) Use Excel Solver to find a solution to this problem.
C
$0.90
$1.20
$1.20
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