Question

In: Advanced Math

The town hall of a city wants to open some recreational centers. It has been analyzed...

The town hall of a city wants to open some recreational centers. It has been analyzed 3 options. The opening cost and the capacity of each center are listed below.

Option

Capacity

Cost

A

150

15000

B

250

50000

C

120

36000

The selected recreational centers must be hosting the students from 5 schools. In the table below is summarized the number of students at each school.

School

1

2

3

4

5

Students

50

80

40

60

40

Each school must be assigned to only one recreational center. And the capacity of each center must be respected. What are the recreational centers that must be open in order to minimize the opening cost?

Illustrate the greedy procedure with the following data:

Option

Capacity

Cost

Option

Capacity

Cost

A

150

15000

D

80

8000

B

250

50000

E

180

24000

C

120

36000

F

200

30000

School

1

2

3

4

5

6

7

8

9

10

Students

50

80

40

60

40

70

50

60

60

50

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