Question

isabella and antonio are auto mechanics. isabella takes 4 hours to replace a clutch and 6 hours to replace a set of brakes. antonio takes 6 hours to replace a clutch and 8 hours to replace a set of brakes. state whether anyone has an absolute advantage at either task and, for each task, identify who has a comparative advantage. instructions: enter your responses rounded to two decimal places. the opportunity cost of replacing a set of brakes for isabella is \boxed{}. the opportunity cost of replacing a set of brakes for antonio is \boxed{}. (click to select) has a comparative advantage in brake replacement. (click to select) has a comparative advantage in clutch replacement. (click to select) has an absolute advantage in brake replacement. (click to select) has an absolute advantage in clutch replacement.

Explanation:

Opportunity Cost of Brake Replacement for Isabella

Step1: Define Opportunity Cost

Opportunity cost of replacing brakes is clutch replacements forgone. Isabella takes 6 hours for brakes, 4 hours for clutch. In 6 hours, clutch replacements = $\frac{6}{4}$.

Step2: Calculate

Opportunity cost = $\frac{\text{Time for Brakes}}{\text{Time for Clutch}}$ = $\frac{6}{4}$ = 1.50.

Step1: Define Opportunity Cost

Opportunity cost of brakes is clutch replacements forgone. Antonio takes 8 hours for brakes, 6 hours for clutch. In 8 hours, clutch replacements = $\frac{8}{6}$.

Step2: Calculate

Opportunity cost = $\frac{8}{6}$ ≈ 1.33 (rounded to two decimals).

Comparative advantage is lower opportunity cost. Antonio’s opportunity cost (1.33) < Isabella’s (1.50), so Antonio has comparative advantage in brakes.

Answer:

1.50

Opportunity Cost of Brake Replacement for Antonio