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ChemEX is a worldwide producer of specialty chemicals. They are seeing decreases in demand of two of its products and seek to rebalance its manufacturing

ChemEX is a worldwide producer of specialty chemicals. They are seeing decreases in demand of two of its products and seek to rebalance its manufacturing capabilities. The following is a table of capacity, in millions of kilograms:

Region

Plant

Capacity

Sales 1

Production 1

Sales 2

Production 2

North America

Louisiana, USA

35

20

15

22

10

East Asia

Chengdu, China

45

15

20

15

25

South America

Sao Paulo, Brazil

20

8

10

5

10

Europe

Hamburg, Germany

40

12

10

15

10

South Asia

Chennai, India

35

10

10

8

10

Fixed and variable costs are shown in the next table:

Plant

Fixed Cost

Chem 1 FC

Chem 2 FC

Chem 1 VC

Chem 2 VC

Louisiana

$35M

$5M

$6M

$5.2/kg

$6.6/kg

Chengdu

$22.5M

$4M

$8M

$6.4/kg

$8.2/kg

Sao Paulo

$10M

$2M

$4M

$7.0/kg

$9.4/kg

Hamburg

$40M

$8M

$10M

$6.0/kg

$11.0/kg

Chennai

$20M

$4M

$7M

$4.4/kg

$6.2/kg

Transportation costs are considered from plants to customers in each market:

North America

East Asia

South America

Europe

South Asia

Louisiana

$0.2/kg

$0.8/kg

$0.4/kg

$0.5/kg

$1.2/kg

Chengdu

$1.2/kg

$0.2/kg

$0.8/kg

$1.2/kg

$0.6/kg

Sao Paulo

$0.4/kg

$1.0/kg

$0.2/kg

$0.7/kg

$1.4/kg

Hamburg

$0.5/kg

$1.6/kg

$0.8/kg

$0.2/kg

$0.8/kg

Chennai

$1.4/kg

$0.8/kg

$1.4/kg

$0.6/kg

$0.8/kg

Tariffs:

North America

East Asia

South America

Europe

South Asia

Louisiana

0%

9%

14%

4%

14%

Chengdu

5%

0%

14%

4%

14%

Sao Paulo

2%

9%

0%

4%

14%

Hamburg

0%

9%

14%

0%

14%

Chennai

5%

9%

14%

4%

0%

Note that capacity in each plant can be used for any combination of Chemical 1 or Chemical 2, provided they do not exceed the total plant capacity in millions of kg. I posted last years sales and production numbers. Next year may be difficult to reach the same sales in each region for each chemical, but our forecast is for a repeat of sales, but no more.

Which plants should remain open?

Which plants should produce Chemical 1?

Which plants should produce Chemical 2?

What is the total cost?

If tariffs increase from 0-5% to 30% for foreign plants serving North America, how does this change our plans?

What if the countries retaliate with US tariffs and increase their tariffs 25% more for chemicals shipped from Louisiana?

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