Problem $1$ Dominance $(3$ points$)$

Consider a set of materials with their properties listed below. For each use case, categorize each material as

either 'dominates,$\text{'}$ 'dominated,$\text{'}$ or 'neither dominates or dominated' in the material set. Only consider the

objectives corresponding to each use case.

Use case $1$: Packaging material for filling general packages

Objectives:

minimize cost per unit volume

minimize density

Use case $2$: Packaging material for insulating packages containing food

Objectives:

minimize density

minimize cost per unit volume

minimize thermal conductivity

Use case $3$: Heat transfer material for cooling electronics on lightweight remote aircraft

Objectives:

minimize cost per unit volume

minimize density

maximize thermal conductivity

minimize thermal expansion

Present your results in the following format: