and Caracas in South America. Following are the supplies c available leather from each tanning facility and the process ing capacity at each plant (in pounds) for this particular or der of leather jackets: GLOBAL SHIPPING AT ERKEN APPAREL INTERNATIONAL Crken Apparel International manufactures clothing items around the world. It has currently contracted with a U.S. retail clothing wholesale distributor for men's goatskin and lamb- skin leather jackets for the next Christmas season. The distrib- utor has distribution centers in Indiana, North Carolina, and Tanning Factory Goatskin Lambskin Supply (Ib.) Supply (Ib.) Mende 4,000 4,400 Foggia Saragosa Feira 3,700 5,300 Pennsylvania. The distributor supplies the leather jackets to a discount retail chain, a chain of mall boutique stores, and a department store chain. The jackets arrive at the distribution centers unfinished, and at the centers the distributor adds a 4,650 6,850 6,500 5,100 El Tigre 3,600 5,700 unique lining and label specific to each of its customers. The distributor has contracted with Erken to deliver the following number of leather jackets to its distribution centers in late fall: Plant Production Capacity (Ib.) Madrid 7,800 Naples Limoges 5,700 8,200 Lambskin Jackets Distribution Goatskin Jackets Sao Paulo 7,600 Center Caracas 6,800 Indiana 1,000 780 1,400 1,600 North Carolina 950 In the production of jackets at the plants, 37.5% of th goatskin leather and 50% of the lambskin leather is wast (i.e., it is discarded during the production process and sol for other byproducts). After production, a goatskin jacke weighs approximately 3 pounds, and a lambskin jacke weighs approximately 2.5 pounds (neither with lining which are added in the United States). Following are the costs per pound, in U.S. dollars, fo tanning the uncut leather, shipping it, and producing th leather jackets at each plant: Pennsylvania 1,150 Erken has tanning factories and clothing manufacturing plants to produce leather jackets in Spain, France, Italy, Venezuela, and Brazil. Its tanning facilities are in Mende in France, Foggia in Italy, Saragosa in Spain, Feira in Brazil, and El Tigre in Venezuela. Its manufacturing plants are in Limoges, Naples, and Madrid in Europe and in Sao Paulo
Critical Path Method
The critical path is the longest succession of tasks that has to be successfully completed to conclude a project entirely. The tasks involved in the sequence are called critical activities, as any task getting delayed will result in the whole project getting delayed. To determine the time duration of a project, the critical path has to be identified. The critical path method or CPM is used by project managers to evaluate the least amount of time required to finish each task with the least amount of delay.
Cost Analysis
The entire idea of cost of production or definition of production cost is applied corresponding or we can say that it is related to investment or money cost. Money cost or investment refers to any money expenditure which the firm or supplier or producer undertakes in purchasing or hiring factor of production or factor services.
Inventory Management
Inventory management is the process or system of handling all the goods that an organization owns. In simpler terms, inventory management deals with how a company orders, stores, and uses its goods.
Project Management
Project Management is all about management and optimum utilization of the resources in the best possible manner to develop the software as per the requirement of the client. Here the Project refers to the development of software to meet the end objective of the client by providing the required product or service within a specified Period of time and ensuring high quality. This can be done by managing all the available resources. In short, it can be defined as an application of knowledge, skills, tools, and techniques to meet the objective of the Project. It is the duty of a Project Manager to achieve the objective of the Project as per the specifications given by the client.
What are the decision variables, the objective function and the resource constraints equations?
![and Caracas in South America. Following are the supplies of
available leather from each tanning facility and the process-
ing capacity at each plant (in pounds) for this particular or-
der of leather jackets:
GLOBAL SHIPPING AT ERKEN APPAREL
INTERNATIONAL
Erken Apparel International manufactures clothing items
around the world. It has currently contracted with a U.S. retail
clothing wholesale distributor for men's goatskin and lamb-
skin leather jackets for the next Christmas season. The distrib-
utor has distribution centers in Indiana, North Carolina, and
Tanning
Factory
Goatskin
Lambskin
Supply (Ib.)
Supply (Ib.)
4,000
3,700
Mende
4,400
5,300
Foggia
Saragosa
Pennsylvania. The distributor supplies the leather jackets to a
discount retail chain, a chain of mall boutique stores, and a
dep
6,500
5,100
3,600
4,650
Feira
6,850
El Tigre
ment store chain. The jackets arrive at the distribution
centers unfinished, and at the centers the distributor adds a
5,700
unique lining and label specific to each of its customers. The
distributor has contracted with Erken to deliver the following
number of leather jackets to its distribution centers in late fall:
Plant
Production Capacity (Ib.)
Madrid
7,800
Naples
Limoges
Sao Paulo
5,700
8,200
7,600
Lambskin
Jackets
Distribution
Goatskin
Center
Jackets
Caracas
6,800
Indiana
1,000
1,400
1,600
780
North Carolina
950
In the production of jackets at the plants, 37.5% of the
goatskin leather and 50% of the lambskin leather is waste
(i.e., it is discarded during the production process and sold
for other byproducts). After production, a goatskin jacket
weighs approximately 3 pounds, and a lambskin jacket
weighs approximately 2.5 pounds (neither with linings,
which are added in the United States).
Following are the costs per pound, in U.S. dollars, for
tanning the uncut leather, shipping it, and producing the
leather jackets at each plant:
Pennsylvania
1,150
Erken has tanning factories and clothing manufacturing
plants to produce leather jackets in Spain, France, Italy,
Venezuela, and Brazil. Its tanning facilities are in Mende in
France, Foggia in Italy, Saragosa in Spain, Feira in Brazil,
and El Tigre in Venezuela. Its manufacturing plants are in
Limoges, Naples, and Madrid in Europe and in Sao Paulo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cca2471-f089-4df3-91eb-fc0372255974%2Fdc70ba9f-5827-481f-aa92-49090721f0ac%2Fbk055m_processed.jpeg&w=3840&q=75)
![The shipping costs ($/lb.) from each port in Europe
and South America to the U.S. ports and the available truck
and rail capacity for transport at the U.S. ports are as
Plant ($/lb.)
Tanning
Factory
Madrid Naples Limoges
Sao Paulo
Caracas
follows:
Mende
$24
$22
$16
$21
$23
Foggia
Saragosa
31
17
22
19
22
18
25
28
23
25
Feira
U.S. Port ($/lb.)
16
18
El Tigre
14
15
Port
New Orleans
Jacksonville
Savannah
Note that the cost of jacket production is the same for
goatskin and lambskin. Also, leather can be tanned in
France, Spain, and Italy and shipped directly to the South
American plants for jacket production, but the opposite is
not possible due to high tariff restrictions (i.e., tanned
leather is not shipped to Europe for production).
Once the leather jackets are produced at the plants in
Europe and South America, Erken transports them to ports
in Lisbon, Marseilles, and Caracas and then from these ports
to U.S. ports in New Orleans, Jacksonville, and Savannah.
The available shipping capacity at each port and the trans-
portation costs from the plants to the ports are as follows:
Lisbon
$2.35
$1.90
$1.80
Marseilles
3.10
2.40
2.00
Caracas
1.95
2.15
2.40
Сараcity (lb.)
8,000
5,200
7,500
The transportation costs ($/lb.) from the U.S. ports to the
three distribution centers are as follows:
Distribution Center ($/lb.)
U.S. Port
Indiana
North Carolina
Pennsylvania
Port ($/lb.)
New Orleans
$0.65
$0.52
$0.87
Plant
Lisbon
Marseilles
Caracas
Jacksonville
0.43
0.41
0.65
Savannah
0.38
0.34
0.50
Madrid
0.75
1.05
Naples
Limoges
3.45
1.35
2.25
0.60
Erken wants to determine the least costly shipments of
material and jackets that will meet the demand at the U.S.
distribution centers. Develop a transshipment model for
Sao Paulo
1.15
Caracas
0.20
Сараcity (lb.)
8,000
5,500
9,000
Erken that will result in a minimum cost solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cca2471-f089-4df3-91eb-fc0372255974%2Fdc70ba9f-5827-481f-aa92-49090721f0ac%2Fjva102b_processed.jpeg&w=3840&q=75)
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