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Analyzing the Impact of Technological Change
A self-sufficient farmer makes a daily choice between hours of free time and bushels of grain produced. This trade-off is represented by a 'feasible frontier'. The farmer's preferences are shown by 'indifference curves'. The farmer is initially at their optimal point, where the feasible frontier is tangent to the highest possible indifference curve.
Imagine the farmer discovers a new planting technique that allows them to produce more grain for the same number of hours worked. This causes the feasible frontier to expand outwards. Analyze how this technological improvement will affect the farmer's new optimal choice. Will they necessarily consume more grain? Will they necessarily choose to have more free time? Justify your answer by explaining the conflicting incentives the farmer now faces.
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A self-sufficient farmer makes a daily choice about how many hours of free time to have and how many bushels of grain to produce. A graph illustrates this choice: a downward-sloping 'feasible frontier' curve shows all the maximum possible combinations of grain and free time. A set of 'indifference curves' (I1, I2, I3) represent the farmer's preferences, where higher curves indicate greater satisfaction. Four points are marked:
- Point A: Lies on the feasible frontier and on the lowest indifference curve (I1).
- Point B: Lies inside the feasible frontier.
- Point C: Lies on the highest indifference curve (I3), but is outside the feasible frontier.
- Point D: Lies on the feasible frontier at the exact point where it is tangent to the highest achievable indifference curve (I2).
Which point represents the farmer's optimal choice, and why?
Optimizing a Farmer's Choice
Evaluating a Producer's Choice
A producer's choices between two goods (e.g., daily free time and units of output) can be represented on a graph. The 'feasible frontier' shows the maximum combinations of the two goods the producer can achieve. 'Indifference curves' show combinations that provide the same level of satisfaction, with curves further from the origin representing higher satisfaction. Match each type of outcome with its correct description on such a graph.
A self-sufficient farmer chooses between hours of free time and bushels of grain produced, with their possible combinations represented by a downward-sloping 'feasible frontier'. At their current choice on the frontier, the amount of grain they are willing to sacrifice for one more hour of free time is less than the amount of grain they must sacrifice according to the frontier. To achieve a more preferred outcome, the farmer should work fewer hours.
Analyzing a Sub-Optimal Choice
Explaining the Optimal Production Choice
A self-sufficient producer is making an optimal choice between producing a good and enjoying free time. This means that the rate at which they are able to trade free time for the good (as defined by their production possibilities) is exactly equal to the rate at which they are willing to trade free time for the good (as defined by their personal preferences). At this optimal point, the slope of the feasible frontier is equal to the slope of the ____.
Evaluating a Farmer's Production Decision
Analyzing the Impact of Technological Change