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Hot & Cold and Caldo Freddo are two European manufacturers of home appliances that have merged. Hot & Cold has plants in France, Germany, and

Hot & Cold and Caldo Freddo are two European manufacturers of home appliances that have merged. Hot & Cold has plants in France, Germany, and Finland, where Caldo Freddo has plants in the United Kingdom and Italy. The European market is divided into four regions: North, East, West, and South. Plant capacities (millions of units per year), annual fixed costs (millions of euros per year), regional demand (millions of units), and variable production and shipping costs (euros per unit) are listed in the following table.

Variable Production and Shipping Costs

North

East

South

West

Capacity

Annual Fixed Cost

Hot & Cold

France

100

110

105

100

50

1000

Germany

95

105

110

105

50

1000

Finland

90

100

115

110

40

850

Demand are in million units per year

Demand

30

20

20

35

Variable Production and Shipping Costs

North

East

South

West

Capacity

Annual Fixed Cost

Caldo Freddo

U.K.

105

120

110

90

50

1000

Italy

110

105

90

115

60

1150

Demand are in million units per year

Demand

15

20

30

20

Each appliance sells for an average price of 300 euros. All plants are currently treated as profit centers, and the company pays taxes separately for each plant. Tax rates in the various countries are as follows: France, 0.25; Germany, 0.25; Finland, 0.3; UK 0.2; Italy, 0.35.

  1. Before the merger, what is the optimal network for each of the two firms if their goal is to minimize costs? What is the optimal network if the goal is to maximize after-tax profits?
  2. After the merger, what is the minimum cost configuration if none of the plants is shut down? What is the configuration that maximizes after-tax profits if none of the plants is shut down?
  3. After the merger, what is the minimum cost configurations if plants can be shut down (assume that a shutdown saves 100 percent of the annual fixed cost of the plant)? What is the configuration that maximizes after-tax profits?

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