There are $7$ feasible solutions for the above technology selection problem. These feasible solutions, technologies selected under each feasible solution, and each feasible solution$$s total profit and total environmental benefit are given in the table below. In addition, a scatter chart gives the corresponding points of these feasible solutions in the objective space.

$1=$selected, $0=$not selected Total Profit Total Environmental Benefit

Technology $1$ Technology $2$ Technology $3$

Solution $100000$

Solution $20013020$

Solution $30105010$

Solution $40118030$

Solution $51001070$

Solution $61014090$

Solution $71106080$

b$)$ Based on the table and scatter plot of the feasible solutions and their corresponding points, answer the following questions by just writing the correct solution numbers.

i$.$ Which solution is the total profit maximizing solution? Answer:$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

ii$.$ Which solution is the total environmental benefit maximizing solution? Answer:$\_\_\_\_\_\_\_\_\_\_\_\_\_$

iii. Which solutions are Pareto Efficient solutions? Answer:$\_\_\_\_\_\_\_\_\_\_\_\_$