Answer:
21
Explanation:
Given that:
The utility function U(x, y) =
The budget line income is:
105=4x +3y
The equation MRTS is:
where;
and:
∴
Using the equation MRTS:
4x = 12y
x = 12y/4
x = 3y
Replacing the value of x into the budget line income, we have:
105 = 4x + 3y
105 = 4(3y) + 3y
105 = 12y + 3y
105 = 15y
y = 105/15
y = 7
Then, from x = 3y
x = 3(7)
x = 21
Thus, she will consume 21 gapefruits