\textbf{Total Revenue Calculation}:
Given:
- Initial endowment of oranges = 20 units
- Initial endowment of bananas = 10 units
- Price of oranges = $2 per unit
- Price of bananas = $4 per unit
To find total revenue:
Revenue from selling oranges = 20 units * $2 per unit = $40
Revenue from selling bananas = 10 units * $4 per unit = $40
Total revenue = $40 (oranges) + $40 (bananas) = $80
Let x be the number of units of oranges Fouz consumes.
According to her consumption preference ratio of 2:1, she consumes 2 units of bananas for every 1 unit of oranges, so bananas consumed = 2x.
\textbf{Cost Equation based on Total Revenue}:
Cost of oranges + Cost of bananas = Total revenue
2x * $2 + 2x * $4 = $80
4x + 8x = 80
12x = 80
x = \frac{80}{12}
x = \frac{20}{3}
\textbf{Answer}:
Fouz will consume \frac{20}{3} units of oranges and \frac{40}{3} units of bananas.