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Maximizing the Gains from Trade
Finding and Confirming the Quantity that Maximizes Total Surplus
To determine the quantity () that maximizes total surplus, calculus is used. The first step involves taking the derivative of the total surplus function, N(Q), with respect to quantity (Q) and setting it to zero. The quantity that solves this equation is the potential point of maximum surplus. To confirm that this quantity indeed maximizes the total surplus, the second-order condition must be checked. This involves examining the second derivative of the total surplus function, N(Q). Given that the integral of the inverse demand function (F) is concave (its second derivative is negative) and the cost function (C) is convex (its second derivative is positive), it can be concluded that the second derivative of the total surplus function N(Q) is negative. A negative second derivative confirms that corresponds to a maximum point.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.8 Supply and demand: Markets with many buyers and sellers - The Economy 2.0 Microeconomics @ CORE Econ
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Finding and Confirming the Quantity that Maximizes Consumer Surplus
Condition for Maximizing Producer Surplus: Price Equals Marginal Cost
Finding and Confirming the Quantity that Maximizes Total Surplus
In a competitive market for a good, the demand curve represents buyers' marginal willingness to pay, and the supply curve represents sellers' marginal cost. If the current quantity of the good being produced and sold is less than the market equilibrium quantity, why is the total surplus (the combined economic gain for all buyers and sellers) not at its maximum?
Optimizing Production in a Widget Market
Impact of Price Controls on Market Efficiency
Analyzing Market Inefficiency
In a standard competitive market model where the demand curve slopes down and the supply curve slopes up, match each production quantity scenario with its corresponding effect on the total gains from trade (the sum of consumer and producer surplus).
In a market, if the goal is to maximize the total gains from trade (the sum of all participants' economic well-being), the production level should be set to the point that maximizes only the producers' surplus.
In a market, the total gains from trade, represented by the sum of consumer and producer surplus, are maximized when the quantity produced and consumed is such that the value to the marginal buyer is exactly equal to the __________ of the marginal seller.
Consider a market with a downward-sloping demand curve (representing buyers' value) and an upward-sloping supply curve (representing sellers' cost). Arrange the following market outcomes in order from the one that generates the LEAST total gains from trade (sum of consumer and producer surplus) to the one that generates the MOST.
Evaluating a Price Control Policy
Consider a market where the value of a good to buyers decreases as more is consumed, and the cost to sellers increases as more is produced. If the current level of production is at a point where the value of the last unit to a buyer is significantly higher than the cost of producing it for a seller, which statement best analyzes the total gains from trade (the sum of all participants' economic well-being)?
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Algebraic Proof that Competitive Equilibrium Maximizes Total Surplus