How far ahead of the scheduled meeting date should he begin

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Reference no: EM133500677

Assignment: Management Linear Programming Model

Question I. Silver Star Bicycle Company will be manufacturing both men's and women's models of its Easy-Pedal bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the first month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown:

Model	Production Costs	Current Inventory

Men's	$120	20
Women's	90	30

The company charges monthly inventory at the rate of 2% of the production cost based on the inventory levels at the end of the month. The company would like to have at least 25 units of each model in inventory at the end of the two months.

Formulate this problem as a linear programming model so that a production schedule can be established in order to minimize production and inventory costs and satisfies the labor-smoothing, demand, and inventory requirements.

Question II. Adirondack Paper Mills, Inc., operates paper plants in Augusta, Maine, and Tupper Lake, New York. Warehouse facilities are located in Albany, New York, and Portsmouth, New Hampshire. Distributors are located in Boston, New York, and Philadelphia. The plant capacities and distributor demands for the next month are as follows:

Plant	Capacity (units)
Augusta	300
Tupper Lake	100

Distributor	Capacity (units)
Boston	150
New York	100
Philadelphia	150

The unit transportation costs (in $) for shipments from the two plants to the two warehouses and from the two warehouses to the three distributors are as follows:

Plant	Warehouse
Plant	Albany	Portsmouth
Augusta	7	5
Tupper Lake	3	4

Warehouse	Distributor
Warehouse	Boston	New York	Philadelphia
Albany	8	5	7
Portsmouth	5	6	10

Question 1. Draw the network representation of the Adirondack Paper Mills problem.

Question 2. Formulate the Adirondack Paper Mills problem as a linear programming problem. You do not need to solve the model.

Question III. Embassy Club Condominium, located on the west coast of Florida, is undertaking a summer renovation of its main building. The project is scheduled to begin May 1, and a September 1 (17-week) complete date is desired. The condominium manager identified the following renovation activities and their estimated times:

Activity	Immediate Predecessor	Time
A	--	3
B	--	1
C	--	2
D	A, B, C	4
E	C, D	5
F	A	3
G	D, F	6
H	E	4

Question 1. Draw a project network.

Question 2. What are the critical activities?

Question 3. Will the project be completed by September 1?

Question IV. 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 this project:

Activity	Immediate Predecessor	Time (weeks)
Activity	Immediate Predecessor	Optimistic	Most Probable	Pessimistic
A	--	1.5	2.0	2.5
B	A	2.0	2.5	6.0
C	--	1.0	2.0	3.0
D	C	1.5	2.0	2.5
E	B, D	0.5	1.0	1.5
F	E	1.0	2.0	3.0
G	B, D	3.0	3.5	7.0
H	G	3.0	4.0	5.0
I	F, H	1.5	2.0	2.5

Question 1. Draw a project network.

Question 2. What are the critical activities and what is the expected project completion time?

Question 3. 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?

Reference no: EM133500677

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