To solve these questions, we need to calculate the opportunity costs for both Paulie and Vinny and determine their comparative advantages.
a. Paulie's opportunity cost of producing a cup of ice cream:
Paulie can produce 2 cups of ice cream or 17 t-shirts in one hour. The opportunity cost of producing one cup of ice cream is the number of t-shirts Paulie forgoes to produce that cup.
Opportunity cost of 1 cup of ice cream = (T-shirts given up) / (Ice cream produced)
= 17 t-shirts / 2 cups of ice cream
= 8.50 t-shirts per cup of ice cream
Paulie's opportunity cost: 8.50 t-shirts
b. Vinny's opportunity cost of producing a t-shirt:
Vinny can produce 9 cups of ice cream or 13 t-shirts in one hour. The opportunity cost of producing one t-shirt is the number of cups of ice cream Vinny forgoes to produce that t-shirt.
Opportunity cost of 1 t-shirt = (Ice cream given up) / (T-shirts produced)
= 9 cups of ice cream / 13 t-shirts
= 0.69 cups of ice cream per t-shirt
Vinny's opportunity cost: 0.69 cups of ice cream
c. Comparative advantage:
Comparative advantage is determined by who has the lower opportunity cost for producing a good.
- Paulie's opportunity cost for ice cream is 8.50 t-shirts, while Vinny's opportunity cost for ice cream is 1.44 t-shirts (13 t-shirts / 9 cups of ice cream). Vinny has a lower opportunity cost for ice cream.
- Paulie's opportunity cost for t-shirts is 0.12 cups of ice cream (2 cups of ice cream / 17 t-shirts), while Vinny's opportunity cost for t-shirts is 0.69 cups of ice cream. Paulie has a lower opportunity cost for t-shirts.
Paulie has a comparative advantage in t-shirts and Vinny has a comparative advantage in ice cream.