Components of Fishermen's Utility in the Weevokil Model
The utility of fishermen in the Weevokil model is determined by two factors: their 'other income' (), which is independent of banana output, and the external costs () imposed by the plantations' production. A key assumption is that the marginal external cost is positive (), meaning that as banana production (Q) increases, the fishermen's utility decreases. This establishes bananas as a 'bad' from the fishermen's perspective.
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Introduction to Microeconomics Course
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Components of Fishermen's Utility in the Weevokil Model
Definition of Marginal External Cost in the Weevokil Banana Model
A group of fishermen earns income from two sources: a fixed salary from part-time work, and profits from fishing in a local river. A nearby banana plantation's production (represented by quantity Q) pollutes the river, which directly reduces the fishermen's profits from fishing. As the plantation produces more bananas, the pollution worsens, and fishing profits decrease at an increasing rate. Which of the following utility functions, U(Q), most accurately models the fishermen's overall well-being based on this situation?
Modeling Utility with Externalities
Constructing a Utility Function with an Externality
Harvest Shortfall and Price Impact
Within a model where fishermen's well-being is negatively impacted by pollution from banana production (Q), a valid way to represent their utility is as a single, unified function that increases with Q, assuming that greater banana output also boosts the overall local economy, benefiting the fishermen indirectly.
The utility (overall well-being) of a group of fishermen is modeled by the function
U(Q) = 5000 - 2Q^2, where Q is the quantity of bananas produced by a nearby plantation. Match each term from this model to its correct description.An independent farmer, who keeps all the food she produces, is trying to decide how many hours to work. At her current choice of 16 hours of free time and 9 bushels of grain, she determines two things: 1) She would be willing to give up 4 bushels of grain for one more hour of free time. 2) Her production schedule shows that if she works one hour less (gaining one hour of free time), her grain output will fall by only 3 bushels. Based on this information, what should the farmer do to increase her overall satisfaction?
Justifying the Structure of a Utility Function with an Externality
A community of shrimpers' overall economic well-being (utility) is negatively affected by the output (Q) of a nearby coastal factory. Their utility is modeled by the function
U(Q) = 25,000 - 10Q^2. In this model, what is the economic interpretation of the component25,000?A community of fishermen's overall well-being (utility) is modeled by the function
U(Q) = 50,000 - 4Q^2, where Q represents the tons of output from a nearby chemical plant that pollutes their fishing grounds. Initially, the plant produces 20 tons of output. Due to new environmental regulations, the plant reduces its output to 15 tons. What is the resulting change in the fishermen's total utility?
Learn After
Consider a model where a group of fishermen's economic well-being is determined by two components: a fixed income from other sources and a cost imposed by a nearby plantation's output (Q). The cost increases as the plantation's output increases. If the plantation implements a new technology that reduces this cost for any given level of output (Q), how does this affect the graphical representation of the fishermen's well-being versus the plantation's output (Q)?
Evaluating an Economic Argument about External Costs
True or False: In an economic model where a group's well-being is determined by a fixed income component and a cost component that rises with the level of an external activity (Q), a marginal increase in that external activity (Q) will improve the group's overall well-being.
Relationship Between External Output and Well-being
Analyzing the Impact of an Externality
In an economic model describing the well-being of a group of fishermen, their overall satisfaction (utility) is influenced by the production of a nearby banana plantation. Match each mathematical component of this model to its correct economic description.
In an economic model where a fisherman's well-being is composed of a fixed income and a cost that rises with the output (Q) of a nearby plantation, an increase in the plantation's output will cause the fisherman's overall well-being to ____.
A group of fishermen's economic well-being is negatively affected by the output (Q, measured in tons) from a nearby banana plantation. The higher the plantation's output, the lower the fishermen's well-being due to increased external costs. Given the following potential weekly output levels for the plantation, arrange them in order from the level that results in the highest well-being for the fishermen to the level that results in the lowest well-being.
Evaluating a Compensation Proposal
In an economic model, a group of fishermen's total satisfaction (utility) is represented by the function U = $500 - 2Q^2$, where $500 represents their income from other sources and Q is the tons of output from a nearby plantation. If the plantation produces 10 tons of output, what is the total utility for the fishermen?