The objective here is to select a front entrance door for each suite of a multi$-$unit development. Four alternatives were found that would provide a door that meets the design specifications: a solid$-$oak paneled door, a solid$-$pine paneled door, an insulated metal door, and a solid$-$core fir door. Four criteria were assessed in the evaluation of these options: cost, aesthetics $($appearance$),$ insulation, and security properties. For each factor a value is awarded on a scale from $1$ to $10,10$ being the most desirable. Thus, a low$-$cost alternative would be awarded a high score. The owner's priorities are also given a value, this time on a scale from $10$ to $50.$ Because the owner places a high value on good appearance in this case, aesthetics is given a value of $50.$ Which alternative would be supposed to be selected? $(15$ points$)$

Evaluation results on a value scale $1$ to $10$ :

Clay tiles:

Cost: $7$

Durability: $9$

Energy Efficiency: $6$

Aesthetics: $8$

Asphalt shingles:

Cost: $9$

Durability: $6$

Energy Efficiency: $5$

Aesthetics: $7$

Metal roofing:

Cost: $8$

Durability: $8$

Energy Efficiency: $8$

Aesthetics: $6$

Slate tiles:

Cost: $6$

Durability: $10$

Energy Efficiency: $7$

Aesthetics: $9$

Criteria and their weights:

Cost: $30$

Durability: $50$

Energy efficiency: $40$

Aesthetics: $20$