HW4 (1) (15 points) A decision-maker has made the following pair-wise comparison matrix of 4 factors that is not sufficiently consistent. Use the rank order of the confidence for the 6 off-diagonal pairwise comparisons given at the side of the matrix to make the matrix totally consistent. A B C D BvC (highest confidence) A 1 2 3 4 AvD B 1 1/3 1/5 AvC C 1 3 CvD D 1 BvD AvB (lowest confidence) You need to show only the final totally consistent matrix. (2) (5 points) What are the values of the largest eigenvalue and the consistency index

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

answer: 193

explanation:

200-7 = 193

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: