Answer to Question #136067 in Microeconomics for Ange

Question

Suppose Alice and Drake are doing Physics and Math homework. In one hour, Alice can solve 5
Physics questions or 10 Math questions, or any other combination lying on the line between those
two points. In the same amount of time, Drake can solve 10 Physics questions or 15 Math
questions, or any other combination lying on the line between those two points.
a.
What is the opportunity cost of solving 1 Math question for Alice? What
about for
Drake?
b.
What is the opportunity cost of solving 1 Physics question for Alice? What
about for
Drake?
c.
Who has the absolute advantage in doing Physics homework and
Math
homework?
d.
Suppose they work together. Who will specialize in Math problems and who
will specialize in Physics problems?
e.
If they were to trade with each other, what is the price range (in terms of
number of Math problems) acceptable to both Alice and Drake for a Physics
question.

Answer 1

a. The opportunity cost of solving 1 math question for Alice is; $\frac{5}{10} = 0.5$ physics question.

The opportunity cost of solving 1 math question for Drake is; $\frac{10}{15} = \frac{2}{3}$ physics question.

b. The opportunity cost of solving 1 physics question for Alice is; $\frac{10}{5} = 2$ math questions.

The opportunity cost of solving 1 physics question for Drake is; $\frac{15}{10} = 1.5$ math question.

c. Drake has an absolute advantage in doing both physics homework and math homework.

d. If they work together, then Alice will major on math problems and Drake will major on physics problems.

e. If they were to trade with each other, then the price range (in terms of number of math problems) acceptable to both Alice and Drake for a physics question is between 1.5 and 2 math questions.