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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