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to find profit maximizing quantity
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find mc (derivative of c) then set P=MC and solve
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to find profit or loss
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π=TR-TC ((PxQ)-(c with q plugged in)) and solve; if negative, loss, if positive, profit
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Does the P=MC guideline for profit maximization apply only to perfectly competitive firms?
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Yes because P=MC in a perfectly competitive world, but P does not equal MC in other market structures. The profit max guideline for all is MR=MC. Since in a perfectly competitive firm, P=MC, we can use P=MC as a guide for PC firms only
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Does the MR=MC guideline for profit maximization apply only to perfectly competitive firms? Prove.
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No, MR=MC applies to all
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Does P=AR apply only to perfectly competitive firms? Prove
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No, P=AR applies to all
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Tax Problem: Find equilibrium values
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set Qd=Qs to find P, plug P into Qd or Qs to find Q
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Tax Problem: What price and quantity would prevail after the imposition of the tax? Identify the price for buyers and sellers. Illustrate.
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recall T=Pb-Ps (tax will be given) set Qd=Qs and use Pb=Ps+(tax) to solve - plug it into Pb in Qd equation. Once you have Ps, plug into Pb=Ps+(tax) to find Pb
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Tax Problem: Find deadweight loss and revenue
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Deadweight loss=1/2(b)(h) (height is tax). Revenue=A+D (height of the rectangle A and D create times the length (on X axis))
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Tax problem: Explain whether the tax could be justified despite the deadweight loss (situation-specific)
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Yes, while the deadweight loss represents/shows an inefficiency, taxing cigarettes may have important benefits to social welfare. There are health externalities that generate other costs (hospital bills, cost to society, secondhand smoke)
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Government intervention problem: gov. raises price of milk above market equilibrium by imposing a high minimum price. Show the change in consumer surplus, the change in producer surplus, and the deadweight loss.
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Change in consumer surplus=-A-B, change in producer surplus=+A-C, and deadweight loss=B+C
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at the profit maximizing level of output, what is true of total revenue (TR) and total cost (TC) curves?
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they must have the same slope (at profit maximizing level of output, MR=MC, so the slope of TC equals the slope of TR
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assume that a profit maximizing monopolist is producing a quantity where marginal revenue exceeds marginal cost. We can conclude that the:
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firm's output is smaller than the profit maximizing quantity
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if a monopolist sets her output such that marginal revenue, marginal cost and average total costs are equal, economic profits must be:
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positive
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if current output is less than profit maximizing output for a perfectly competitive firm, which must be true?
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marginal revenue is greater than marginal cost
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refer to the table. That the firm is perfectly competitive is evident from:
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constant marginal revenue
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refer to the figure. At P=80, the profit maximizing output in the short run is:
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39
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refer to the figure. At P=80, how much is profit in the short run?
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351. π=TR-TC =(80x39)-(71x39) =351
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in an unregulated competitive market, producer surplus exists because:
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producers are willing to sell at less than equilibrium price
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in an unregulated competitive market, consumer surplus exists because:
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consumers are willing to pay more than equilibrium price
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which of the following conditions must hold in the equilibrium of a competitive market where the government puts a specific tax on consumers?
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all of the above: the quantity sold and the price paid by the buyer must lie on the demand curve (Pb->Qd), the quantity sold and the sellers prices must lie on the supply curve (Ps->Qs), the quantity demanded must equal the quantity supplied (Qd=Qs at equilibrium), and the difference between the price the buyer pays and the price the seller receives must equal the specific tax (true)
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Refer to the figure: suppose the market is currently in equilibrium. If the government establishes a price floor of $50, how many widgets would be sold?
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20
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Refer to the figure: Suppose the market is currently in equilibrium. If the government establishes a price floor of $40, consumer surplus will:
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fall by $350. Old CS=1/2(40)(40), new CS=1/2(30)(30) = 800-450=350
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Refer to the figure: If the government establishes a price floor of $40, and the government purchases the surplus over quantity demanded, producer surplus will:
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rise by $500. Ps=+A+B+D = (30)(10)+(10)(10)+1/2(10)(20)=300+100+100=500
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Bonus: Using welfare analysis and the diagram below, explain whether there would be welfare gains if a market for kidneys was established:
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If no market: we lose. Amount of value of donation=A, amount of producer surplus=C, and amount of consumer surplus=B. Society would gain the value of A,B, and C given a market
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In certain situations, Q2 is related to the:
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supply curve
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In certain Situations, Q3 is related to the:
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demand curve
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Scenario 1
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Q1 is produced
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Scenario 2
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Q2 is produced without support from the government; Producer produces according to supply, change in CS=-A-B, change in PS=+A-C-E, and no one buys up the excess (producer eats the cost)
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Scenario 3
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Q2 is produced with support from the government, change in CS=-A-B, change in PS=+A+B+D; Cost to government=PS(Q2-Q1); Change in welfare=change in PS+change in CS-Cost to gove= D-(Q2-Q1)Ps
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if demand is very inelastic relative to supply, the burden of tax falls mostly on:
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the buyers
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if the demand is very elastic relative to supply, the burden of tax falls mostly on:
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the sellers
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impact of a tax or subsidy example problem:
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are equal
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slope of TR and slope of TC:
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looks different from demand and marginal revenue for a monopoly; In a competitive firm, when you sell one more unit of a product (MR), your change in revenue will come from or equal price (price=demand) P=MR; In a monopoly, P does not equal MR
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demand and marginal revenue for a competitive firm:
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is both its average revenue curve and its marginal revenue curve; along this demand curve, marginal revenue, average revenue, and price are all equal
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the demand curve (d) curve facing an individual firm in a competitive market:
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if a firm is producing any output, it should produce at the level at which marginal revenue equals marginal cost
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output rule:
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is the portion of the marginal cost curve for which marginal cost is greater than average variable cost
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the firm's supply curve:
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the firm maximizes its profit by choosing the output at which price equals long-run marginal cost LMC; in the diagram, the firm increases its profit from ABCD to EFGD by increasing its output in the long run
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output choice in the long run:
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the point at which long-run marginal cost equals the price
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the long-run output of a profit-maximizing competitive firm is:
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profits are maximized when P=MC
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in perfect competition:
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total revenue - total cost
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Profit equals
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P=MC > AVC
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firm will produce positive output as long as:
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P=MC < AC
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firm will earn negative profit when:
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MC = AC
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output that minimizes average cost is where:
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positive economic profits are being earned in the industry
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firms will enter as long as:
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a firm is earning a normal return on its investment-i.e., it is doing as well as it could by investing its money elswhere
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zero economic profit
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in a market with entry and exit, a firm enters when it can earn a positive long-run profit and exits when it faces the prospect of a long-run loss
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entry and exit:
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all firms in an industry are maximizing profit, no firm has an incentive to enter or exit, and price is such that quantity supplied equals quantity demanded
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long-run competitive equilibrium
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1: all firms in the industry are maximizing profit
2: No firm has an incentive either to enter or exit the industry because all firms are earning zero economic profit
3: The price of the product is such that the quantity supplied by the industry is equal to the quantity demanded by consumers
2: No firm has an incentive either to enter or exit the industry because all firms are earning zero economic profit
3: The price of the product is such that the quantity supplied by the industry is equal to the quantity demanded by consumers
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a long-run competitive equilibrium occurs when three conditions hold:
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