Partial Equilibrium and Market Dynamics
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Questions and Answers

What is the expression for the marginal cost obtained from the cost function?

  • $ rac{Q}{K}$
  • $wK$
  • $ rac{2Q}{K}$
  • $2w$ (correct)
  • How is the supply curve for good x derived in this context?

  • By setting P equal to MC (correct)
  • By setting P equal to AVC
  • By differentiating the cost function
  • By equating demand to supply
  • What is the equilibrium price for good x in the short run?

  • $20$
  • $5$
  • $15$
  • $10$ (correct)
  • What does the expression $X^D = X_S$ indicate in the context of the market?

    <p>Market equilibrium condition</p> Signup and view all the answers

    What is the correct individual consumer demand function for good x?

    <p>$ rac{I}{2p_x}$</p> Signup and view all the answers

    What factor has no influence on market demand when applying Cobb-Douglas preferences?

    <p>The distribution of income among consumers</p> Signup and view all the answers

    What does the Marshallian demand function for a good x represent?

    <p>The quantity purchased by a consumer to maximize utility based on prices and income.</p> Signup and view all the answers

    In perfect competition, how do firms determine their supply of good x?

    <p>By analyzing both marginal costs and average variable costs</p> Signup and view all the answers

    What is the role of the capital fixed in the short run for a firm's production function?

    <p>It limits the output based on the available labor</p> Signup and view all the answers

    In the context of the market demand curve, which of the following is true?

    <p>Total market demand is the sum of individual demands from all consumers.</p> Signup and view all the answers

    What equation best represents market supply based on individual firms?

    <p>XS = Σ Qix(px, w, v) for all firms</p> Signup and view all the answers

    What does partial equilibrium analysis focus on?

    <p>An individual market in isolation, holding all other markets fixed.</p> Signup and view all the answers

    If Firm 1 has a capital of K1 = 40 and Firm 2 has K2 = 20, what would you expect about their production capabilities in the short run?

    <p>Firm 1 will produce more than Firm 2, given the capital differences.</p> Signup and view all the answers

    Assuming three consumers have different incomes but face the same prices, how would their individual demands influence the market demand curve?

    <p>It would aggregate their demands to determine the total quantity demanded at each price point.</p> Signup and view all the answers

    Which utility function was used as an example to explain market demand in the content?

    <p>U(x, y) = x^1/2 y^1/2</p> Signup and view all the answers

    What ensures that firms will continue operating in the market in the long run?

    <p>P = MC = AC</p> Signup and view all the answers

    What happens to the market supply curve when firms exit the market?

    <p>It shifts to the left, raising the price.</p> Signup and view all the answers

    In long run equilibrium, what is the relationship between price, marginal cost, and average cost?

    <p>P = MC = AC</p> Signup and view all the answers

    If each firm in the market is producing according to the cost function C(Qx) = Q2x + 25, what is the form of the firm's marginal cost (MC)?

    <p>MC = 2Qx</p> Signup and view all the answers

    What happens to profits when new firms enter the market due to positive profits in the short run?

    <p>Overall profits decrease as prices drop.</p> Signup and view all the answers

    Study Notes

    Partial Equilibrium

    • This concept isolates one market, while holding other markets constant
    • It examines the interaction between consumers and firms in a given market
    • Future study will cover general equilibrium, which considers interconnected markets

    Market Demand Curve

    • Definition: A consumer's Marshallian demand function shows the quantity of a good demanded at different prices and incomes to maximize utility
    • Formula: Xm = x(Px, Py, I)
    • Market Demand: The total demand for a good, calculated by summing the individual demands of all consumers in the market
    • Formula: XD = Σ Xi(Px, Py, Ii) where n is the number of consumers.
    • All consumers in the economy face the same prices

    Short-Run Market Supply Curve

    • The portion of the marginal cost curve above average variable cost
    • Firms' individual supply depends on good X's price and input prices (e.g., labor and capital)
    • Market Supply: The sum of all individual firms' supplies.
    • Formula: Xs = Σ Q (Px, ω, υ), where n is the number of firms.
    • Firms take prices as fixed in perfect competition

    Short-Run Equilibrium

    • Occurs when market supply equals market demand
    • Formula: XD = XS
    • Example: In one example, price = 10, quantity = 15

    Long-Run Equilibrium

    • Firms enter or exit the market until profits are zero
    • Equilibrium price will change due to this entrance or exit
    • Equilibrium will occur at P = MC = AC

    Long-Run Supply Curve

    • Its shape depends on how firm entry affects industry average costs
    • Constant Cost: Average cost doesn't change with firm entry. Long-run supply is horizontal
    • Increasing Cost: Average cost increases with firm entry. Long-run supply is upward sloping
    • Decreasing Cost: Average cost decreases with firm entry. Long-run supply is downward sloping

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    Description

    This quiz covers critical economic concepts such as partial equilibrium, market demand, and supply curves. It explores how consumers and firms interact in a single market while holding other markets constant, alongside detailed examination of demand and supply functions. Prepare to test your understanding of these fundamental theories in economics.

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