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The subsidy to a Cub Scout pack is based on the number of scouts, rank, and leng

ID: 653657 • Letter: T

Question

The subsidy to a Cub Scout pack is based on the number of scouts, rank, and length of membership. Subsidy for each scout is $25 for first year members, $35 for second year members, and $50 for scouts who have been members longer than 2 years.   In addition to this base, each scout gets an extra subsidy of $10 if hes attained rank of Wolf, $15 if attained rank of Bear, and $20 if attained rank of Lion unless he does it in his first year in which he receives $70.

Represent the problem as a decision table.

Explanation / Answer

Decision Table for Scout Club Where subsidy on Membership is given based on number of scouts, rank and length of membership.

S_ no.

C1(<1yr)

C2(1 to 2yrs)

C3(>2yrs)

Rank of Wolf

Rank of Bear

Rank of Lion

Actions

1

Y

N

N

N

N

N

Get $25 subsidy

2

Y

N

N

Y

N

N

Get $25 + $10 Extra subsidy

3

Y

N

N

N

Y

N

Get $25 + $15 Extra subsidy

4

Y

N

N

N

N

Y

Get $25 + $70 Extra subsidy

5

Y

Y

N

N

N

N

Get $35 Subsidy

6

Y

Y

N

Y

N

N

Get $35 + $10 Extra subsidy

7

Y

Y

N

N

Y

N

Get $35 + $15 Extra subsidy

8

Y

Y

N

N

N

Y

Get $35 + $20 Extra subsidy

9

Y

Y

Y

N

N

N

Get $50 subsidy

10

Y

Y

Y

Y

N

N

Get $50 + $10 Extra subsidy

11

Y

Y

Y

N

Y

N

Get $50 + $15 Extra subsidy

12

Y

Y

Y

N

N

Y

Get $50 + $20 Extra subsidy

S_ no.

C1(<1yr)

C2(1 to 2yrs)

C3(>2yrs)

Rank of Wolf

Rank of Bear

Rank of Lion

Actions

1

Y

N

N

N

N

N

Get $25 subsidy

2

Y

N

N

Y

N

N

Get $25 + $10 Extra subsidy

3

Y

N

N

N

Y

N

Get $25 + $15 Extra subsidy

4

Y

N

N

N

N

Y

Get $25 + $70 Extra subsidy

5

Y

Y

N

N

N

N

Get $35 Subsidy

6

Y

Y

N

Y

N

N

Get $35 + $10 Extra subsidy

7

Y

Y

N

N

Y

N

Get $35 + $15 Extra subsidy

8

Y

Y

N

N

N

Y

Get $35 + $20 Extra subsidy

9

Y

Y

Y

N

N

N

Get $50 subsidy

10

Y

Y

Y

Y

N

N

Get $50 + $10 Extra subsidy

11

Y

Y

Y

N

Y

N

Get $50 + $15 Extra subsidy

12

Y

Y

Y

N

N

Y

Get $50 + $20 Extra subsidy

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