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Published byShona Long Modified over 9 years ago
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Profit and Supply Economic profit compared with accounting profit Economic costs = explicit costs + implicit costs Accounting profit = TR – Explicit Costs = Net operating revenue Economic profit = TR – Explicit Costs – Implicit Cost
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Total Revenue & Profit TR(q) = P(q) x q In this case P(q) says that the market price is related to the quantity produced dP/dq < 0 : if a firm increases production then the price will fall Π(q) = TR(q) – TC(q) Π(q) = P(q)q – TC(q)
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First Order Conditions A firm will choose q such that MR = MC TR’ = TC’ This is a general result that holds for all profit maximizing firms, both large and small
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Marginal Revenue TR = P(q)q dTR/dq dP/dq x q + P(q) = dP/dq x (P/q) x P + P = P(1/e + 1) = P(1 + 1/e) e represents the “own” price elasticity of the demand curve
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AR = P AR = TR/Q TR = PQ So AR = P always AR is another name for the demand curve for the product that the firm produces
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Example Demand P = 10 – Q TR = PQ = 10Q – Q 2 MR = dTR/dQ = 10 – 2Q For linear (straight line) demand functions, MR will ways have the same vertical intercept as AR, but twice the slope (horizontal intercept half)
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MR MR = P(1+1/e) If e < -1 (elastic) then MR < 0 If -1 0 If e = -1 the MR = 0
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Profit Max & e MC = MR MC = P(1+1/e) MC/P = 1 + 1/e MC/P – 1 = 1/e 1 – MC/P = -1/e (P – MC)/P = -1/e LHS: gap between price and marginal cost (%) As demand becomes more elastic the gap between price and marginal cost closes If e = -∞ then P=MC
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Short-Run Supply Firm will choose level of output such that MR = MC If P = MR then P = MC If P < min AVC then choose Q = 0 Graphical examples Numeric examples
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Producer Surplus Producer surplus is the difference between total revenue and the true economic costs of production It is comprised of profit and fixed costs Measures the economic value that a firm realizes by being able to engage in market transactions
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