Statistics

Consider the following layouts:Layout 1:Trip Matrix Distance Matrix1 2 3 4 5 1 2 3 4 51 0 8 13 0 0 1 0 4 8 12 162 5 0 3 3 8 2 4 0 4 8 123 3 12 0 4 0 3 8 4 0 4 84 3 0 0 0 5 4 12 8 4 0 45 0 8 4 10 0 5 16 12 8 4 0Layout 2:Trip Matrix Distance Matrix1 2 3 4 5 1 2 3 4 51 0 8 13 0 0 1 0 7 8 12 142 5 0 3 3 8 2 7 0 5 6 73 3 12 0 4 0 3 8 5 0 4 94 3 0 0 0 5 4 12 6 4 0 65 0 8 4 10 0 5 14 7 9 6 0Layout 3Trip Matrix Distance Matrix1 2 3 4 5 1 2 3 4 51 0 8 13 0 0 1 0 4 8 12 142 5 0 3 3 8 2 4 0 4 8 103 3 12 0 4 0 3 8 4 0 2 84 3 0 0 0 5 4 12 8 2 0 45 0 8 4 10 0 5 14 10 8 4 0Layout 4:Trip Matrix Distance Matrix1 2 3 4 5 1 2 3 4 51 0 8 13 0 0 1 0 5 8 11 132 5 0 3 3 8 2 5 0 4 8 113 3 12 0 4 0 3 8 4 0 4 84 3 0 0 0 5 4 11 8 4 0 55 0 8 4 10 0 5 13 11 8 5 0Layout 5Trip Matrix Distance Matrix1 2 3 4 5 1 2 3 4 51 0 8 13 0 0 1 0 4 12 12 42 5 0 3 3 8 2 4 0 3 4 43 3 12 0 4 0 3 12 3 0 4 44 3 0 0 0 5 4 12 4 4 0 35 0 8 4 10 0 5 4 4 4 3 0Total 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 2Refer 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 .91QUESTION 3Revenue = 2280*X1 + 1515*X2Subject to:8X1 + 5X2 <= 328503.1X1 + 2.6X2 <= 15000X1 + 2X2 <= 7000X2 = 0What is the optimal number of X1?QUESTION 4Revenue = 2280*X1 + 1515*X2Subject to:8X1 + 5X2 <= 328503.1X1 + 2.6X2 <= 15000X1 + 2X2 <= 7000X2 = 0What is the optimal number of X2?QUESTION 5Revenue = 2280*X1 + 1515*X2Subject to:8X1 + 5X2 <= 328503.1X1 + 2.6X2 <= 15000X1 + 2X2 <= 7000X2 = 0What is the maximum revenue? (note: do not input dollar sign and do not separate the thousand digits with commas)