Answer:
The correct option is;
c. Mars should specialize in the production of clothing
Step-by-step explanation:
The given table can be presented as follows;
Mars
Venus
Food
Clothing Food
Clothing
0
30 0
40
2
24 4
32
4
18 8
24
5
12 12
16
8
6 16 8
10 0 20
0
From the attached chart as produced in Excel, the trend lines and their equation for Mars and Venus can be seen
The relationship between Clothing, y and Food, x production for Mars is given as follows;
y = -3·x + 30
The relationship between Clothing, y and Food, x production for Venus is given as follows;
y = -2·x + 40
Therefore since a given decrease in food production results in a higher increase in Cloth production for Mars than for Venus, Mars should specialize in the production of clothing.