Question

In: Accounting

Hot & Cold and Caldo Freddo are two European manufacturers of home appliances that have merged....

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?

Solutions

Expert Solution

Hot & Cold Company

France 50 units capacity

North

East

South

West

Demand

30

20

20

35

Variable cost pu

100

110

105

100

Sales

300 pu

9000

6000

6000

10500

Variable cost

-3000

-2200

-2100

-3500

Contribution

6000

3800

3900

7000

Contribution pu

200

190

195

200

Preference

1

3

2

1

Units

Contribution pu

Total Contribution

West

35

200

7000

North

15 B.F

200

3000

10000

Less Fixed Cost

-1000

Profit

9000

Germany 50 units capacity

North

East

South

West

Demand

30

20

20

35

Variable cost pu

95

105

110

105

Sales

300 pu

9000

6000

6000

10500

Variable cost

-2850

-2100

-2200

-3675

Contribution

6150

3900

3800

6825

Contribution pu

205

195

190

195

Preference

1

2

3

2

Units

Contribution pu

Total Contribution

North

30

205

6150

East

20

195

3900

10050

Less Fixed Cost

-1000

Profit

9050

Finland 40 units capacity

North

East

South

West

Demand

30

20

20

35

Variable cost pu

90

100

115

110

Sales

300 pu

9000

6000

6000

10500

Variable cost

-2700

-2000

-2300

-3850

Contribution

6300

4000

3700

6650

Contribution pu

210

200

185

190

Preference

1

2

4

3

Units

Contribution pu

Total Contribution

North

30

210

6300

East

10

200

2000

8300

Less Fixed Cost

-850

Profit

7450

CALDO FREEDO

UK 50 units capacity

North

East

South

West

Demand

15

20

30

20

Variable cost pu

105

120

110

90

Sales

300 pu

4500

6000

9000

6000

Variable cost

-1575

-2400

-3300

-1800

Contribution

2925

3600

5700

4200

Contribution pu

195

180

190

210

Preference

2

4

3

1

Units

Contribution pu

Total Contribution

West

20

210

4200

North

15

195

2925

South

15

190

2850

9975

Less Fixed Cost

-1000

Profit

8975

Italy 60 units capacity

North

East

South

West

Demand

15

20

30

20

Variable cost pu

110

105

90

115

Sales

300 pu

4500

6000

9000

6000

Variable cost

-1650

-2100

-2700

-2300

Contribution

2850

3900

6300

3700

Contribution pu

190

195

210

185

Preference

3

2

1

4

Units

Contribution pu

Total Contribution

South

30

210

6300

East

20

195

3900

10200

Less Fixed Cost

-1150

Profit

9050

Hot & Cold Company

Total Contribution

28350

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