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Revenue and Profit
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Revenue Defining total, average and marginal revenue
TR = P × Q AR = TR / Q MR = TR / Q Revenue curves when firms are price takers (horizontal demand curve) average revenue (AR) marginal revenue (MR) 13
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Deriving a firm’s AR and MR: price-taking firm
AR, MR (£) Pe D O O Q (millions) Q (hundreds) (a) The market (b) The firm
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Deriving a firm’s AR and MR: price-taking firm
AR, MR (£) D = AR = MR Pe D O O Q (millions) Q (hundreds) (a) The market (b) The firm
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Revenue Defining total, average and marginal revenue
TR = P × Q AR = TR / Q MR = TR / Q Revenue curves when firms are price takers (horizontal demand curve) average revenue (AR) marginal revenue (MR) total revenue (TR) 13
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Total revenue for a price-taking firm
Quantity (units) Price = AR = MR (£) 200 400 600 800 1000 1200 5 TR (£) Quantity
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Total revenue for a price-taking firm
Quantity (units) Price = AR = MR (£) TR (£) 200 400 600 800 1000 1200 5 1000 2000 3000 4000 5000 6000 TR (£) Quantity
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Total revenue for a price-taking firm
TR Quantity (units) Price = AR = MR (£) TR (£) 200 400 600 800 1000 1200 5 1000 2000 3000 4000 5000 6000 TR (£) Quantity
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Total revenue for a price-taking firm
TR TR (£) Quantity
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Revenue Revenue curves when price varies with output (downward-sloping demand curve) average revenue (AR) marginal revenue (MR) 14
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AR and MR curves for a firm facing a downward-sloping demand curve
Q (units) P =AR (£) 1 2 3 4 5 6 7 8 7 6 5 4 3 2 AR, MR (£) AR Quantity
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AR and MR curves for a firm facing a downward-sloping demand curve
Q (units) P =AR (£) TR (£) MR (£) 1 2 3 4 5 6 7 8 7 6 5 4 3 2 8 14 18 20 6 4 2 -2 -4 AR, MR (£) AR Quantity MR
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Revenue Revenue curves when price varies with output (downward-sloping demand curve) average revenue (AR) marginal revenue (MR) total revenue (TR) 14
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TR curve for a firm facing a downward-sloping D curve
Quantity (units) 1 2 3 4 5 6 7 P = AR (£) 8 TR 14 18 20 TR (£) Quantity
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TR curve for a firm facing a downward-sloping D curve
Quantity (units) P = AR (£) TR (£) TR (£) 1 2 3 4 5 6 7 8 7 6 5 4 3 2 8 14 18 20 Quantity
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Revenue Revenue curves when price varies with output (downward-sloping demand curve) average revenue (AR) marginal revenue (MR) total revenue (TR) revenue curves and price elasticity of demand 14
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AR and MR curves for a firm facing a downward-sloping demand curve
Elastic Elasticity = -1 Inelastic AR, MR (£) AR Quantity MR
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TR curve for a firm facing a downward-sloping D curve
Elasticity = -1 Elastic Inelastic TR TR (£) Quantity
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Revenue Revenue curves when price varies with output (downward-sloping demand curve) average revenue (AR) marginal revenue (MR) total revenue (TR) revenue curves and price elasticity of demand Shifts in revenue curves 14
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Profit Maximisation Using total curves
maximising the difference between TR and TC 15
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Finding maximum profit using total curves
TR, TC, TP (£) Quantity
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Finding maximum profit using total curves
TR TR, TC, TP (£) Quantity
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Finding maximum profit using total curves
TC TR TR, TC, TP (£) Quantity
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Profit Maximisation Using total curves
maximising the difference between TR and TC the total profit curve 15
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Finding maximum profit using total curves
TC TR TR, TC, TP (£) Quantity TP
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Finding maximum profit using total curves
TC b TR a TR, TC, TP (£) c d Quantity TP
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Finding maximum profit using total curves
TC d e TR TR, TC, TP (£) f Quantity TP
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Profit Maximisation Using total curves
maximising the difference between TR and TC the total profit curve Using marginal and average curves 15
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Profit Maximisation Using total curves
maximising the difference between TR and TC the total profit curve Using marginal and average curves stage 1: profit maximised where MR = MC 15
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Finding the profit-maximising output using marginal curves
Costs and revenue (£) Quantity
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Finding the profit-maximising output using marginal curves
MC Costs and revenue (£) Quantity
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Finding the profit-maximising output using marginal curves
MC Costs and revenue (£) Profit-maximising output e Quantity MR
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Profit Maximisation Using total curves
maximising the difference between TR and TC the total profit curve Using marginal and average curves stage 1: profit maximised where MR = MC stage 2: using AR and AC curves to measure maximum profit 15
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Measuring the maximum profit using average curves
MC Costs and revenue (£) Quantity MR
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Measuring the maximum profit using average curves
MC Costs and revenue (£) AR Quantity MR
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Measuring the maximum profit using average curves
MC Total profit = £1.50 x 3 = £4.50 AC a Costs and revenue (£) 6.00 4.50 T O T A L P R O F I T b AR Quantity MR
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Profit Maximisation Some qualifications What if a loss is made?
long-run profit maximisation the meaning of 'profit' What if a loss is made? loss minimising: still produce where MR = MC 16
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Loss-minimising output
MC Loss-minimising output AC AR MR AC LOSS Q Costs and revenue (£) AR O Quantity
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Profit Maximisation Some qualifications What if a loss is made?
long-run profit maximisation the meaning of 'profit' What if a loss is made? loss minimising: still produce where MR = MC short-run shut-down point: P = AVC 16
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The short-run shut-down point
AC The short-run shut-down point AVC AR P = AVC Costs and revenue (£) Q O Quantity
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Profit Maximisation Some qualifications What if a loss is made?
long-run profit maximisation the meaning of 'profit' What if a loss is made? loss minimising: still produce where MR = MC short-run shut-down point: P = AVC long-run shut-down point: P = LRAC 16
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