Question $1$ A development bank has R$100$ million to award to environmental projects. The judges base the amount that is allocated to a project on its sustainability and the carbon footprint that it leaves behind. The subjective scores out of $100$ for five candidate projects on each of these two criteria are as follows: $1.$ Determine the weights of the projects for $($a$)$ the sustainability criterium. $($b$)$ the carbon footprint criterium. $2.$ Calculate the SMART score of the projects if both criteria carry the same weight. $3.$ How much money will be allocated to each project if the judges use AHP to determine the weights? Substantiate your answers with relevant calculations. $($Assume that the two criteria carry the same weight in each case.$)4.$ Do the rank orders of SMART and AHP differ? If so$,$ how?