Consider the following layouts:

Layout 1:

Trip Matrix Distance Matrix

1 2 3 4 5 1 2 3 4 5

1 0 8 13 0 0 1 0 4 8 12 16

2 5 0 3 3 8 2 4 0 4 8 12

3 3 12 0 4 0 3 8 4 0 4 8

4 3 0 0 0 5 4 12 8 4 0 4

5 0 8 4 10 0 5 16 12 8 4 0

Layout 2:

Trip Matrix Distance Matrix

1 2 3 4 5 1 2 3 4 5

1 0 8 13 0 0 1 0 7 8 12 14

2 5 0 3 3 8 2 7 0 5 6 7

3 3 12 0 4 0 3 8 5 0 4 9

4 3 0 0 0 5 4 12 6 4 0 6

5 0 8 4 10 0 5 14 7 9 6 0

Layout 3

Trip Matrix Distance Matrix

1 2 3 4 5 1 2 3 4 5

1 0 8 13 0 0 1 0 4 8 12 14

2 5 0 3 3 8 2 4 0 4 8 10

3 3 12 0 4 0 3 8 4 0 2 8

4 3 0 0 0 5 4 12 8 2 0 4

5 0 8 4 10 0 5 14 10 8 4 0

Layout 4:

Trip Matrix Distance Matrix

1 2 3 4 5 1 2 3 4 5

1 0 8 13 0 0 1 0 5 8 11 13

2 5 0 3 3 8 2 5 0 4 8 11

3 3 12 0 4 0 3 8 4 0 4 8

4 3 0 0 0 5 4 11 8 4 0 5

5 0 8 4 10 0 5 13 11 8 5 0

Layout 5

Trip Matrix Distance Matrix

1 2 3 4 5 1 2 3 4 5

1 0 8 13 0 0 1 0 4 12 12 4

2 5 0 3 3 8 2 4 0 3 4 4

3 3 12 0 4 0 3 12 3 0 4 4

4 3 0 0 0 5 4 12 4 4 0 3

5 0 8 4 10 0 5 4 4 4 3 0

Total cost for Layout 1 is )

Total cost for Layout 2 is )

Total cost for Layout 3 is )

Total cost for Layout 4 is )

Total cost for Layout 5 is )

The best layout is layout (input just a single digit number)

QUESTION 2

Refer to the problem A.23 in your textbook (Louisiana Scratch Off Bingo)

The expected value for Scratch A is )

The expected value for Scratch B is )

The expected value for Scratch C is )

The expected value of the whole game is : ( )

Note: input only numbers in the following format 0.91, not .91

QUESTION 3

Revenue = 2280*X1 + 1515*X2

Subject to:

8X1 + 5X2 <= 32850

3.1X1 + 2.6X2 <= 15000

X1 + 2X2 <= 7000

X2 <= 2800

X1 and X2 >= 0

What is the optimal number of X1?

QUESTION 4

Revenue = 2280*X1 + 1515*X2

Subject to:

8X1 + 5X2 <= 32850

3.1X1 + 2.6X2 <= 15000

X1 + 2X2 <= 7000

X2 <= 2800

X1 and X2 >= 0

What is the optimal number of X2?

QUESTION 5

Revenue = 2280*X1 + 1515*X2

Subject to:

8X1 + 5X2 <= 32850

3.1X1 + 2.6X2 <= 15000

X1 + 2X2 <= 7000

X2 <= 2800

X1 and X2 >= 0

What is the maximum revenue? (note: do not input dollar sign and do not separate the thousand digits with commas)

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