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A German machine company sells industrial machinery and maintenance policies for

ID: 1256004 • Letter: A

Question

A German machine company sells industrial machinery and maintenance policies for the machine. There are four market segments. Figure 5-9 shows the size of each market segment and the amount each segment will pay for the machine separately, maintenance separately, or the bundle of machinery + maintenance. The variable cost is $550 per machine and $470 per maintenance agreement. What set of prices maximize profi ts?

5.9

Machine Maintenance Bunddle

Costs $550 $470 $1020

Size Machine Use Max Mainenance Max Bundle Max

12 1250 1500 2600

23 1450 540 1750

22 1080 1200 2090

43 1390 1100 2350   

Explanation / Answer

Size-wise total contribution should be calculated first.

Contribution / unit = Selling price / unit – Variable cost / unit.

Total contribution = Contribution / unit × Size

The highest total contribution indicates the highest profit.

Size 12

Particulars

Selling price / unit

Variable cost / unit

Contribution / unit

Total contribution

Machine

1250

550

700

8400

Maintenance

1500

470

1030

12360

Bundle

2600

1020

1580

18960

39720

Size 23

Particulars

Selling price / unit

Variable cost / unit

Contribution / unit

Total contribution

Machine

1450

550

900

20700

Maintenance

540

470

70

1610

Bundle

1750

1020

730

16790

39100

Size 22

Particulars

Selling price / unit

Variable cost / unit

Contribution / unit

Total contribution

Machine

1080

550

530

11660

Maintenance

1200

470

730

16060

Bundle

2090

1020

1070

23540

51260

Size 43

Particulars

Selling price / unit

Variable cost / unit

Contribution / unit

Total contribution

Machine

1390

550

840

36120

Maintenance

1100

470

630

27090

Bundle

2350

1020

1330

57190

120400

Answer: The highest total profit is $120,400. It is for the size 43. Therefore, the required selling price for machine is $1,390, Maintenance is $1,100, and Bundle is $2,350.

Particulars

Selling price / unit

Variable cost / unit

Contribution / unit

Total contribution

Machine

1250

550

700

8400

Maintenance

1500

470

1030

12360

Bundle

2600

1020

1580

18960

39720

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