Dickert-Conlin, Conlin Econ 301, Fall 2006 Lectures Notes for Monopolies 3 assumptions; 1) There is a single seller. 2) There are no close substitutes for the product. 3) There are extremely high barriers to entry Q P 0 1 2 3 4 5 6 7 8 9 10 10 9 8 7 6 5 4 3 2 1 0 TOTAL REVENUE (TR) 0 9 16 21 24 25 24 21 16 9 0 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 MARGINAL REVENUE (MR) 12 11 10 9 8 7 6 5 4 3 2 1 0 D 1 Profits of Monopolist. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 MC ATC AVC 10 11 12 10 11 12 9 8 7 6 5 4 3 2 1 0 D Not all Monopolists make positive profits. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 MC ATC AVC 9 8 7 6 5 4 3 2 1 0 D 2 The graph below depicts the cost curves and demand for a monopolist. 20 18 MC 16 14 ATC 12 $/unit AVC 10 D 8 6 4 2 0 0 1 2 3 4 5 6 7 8 9 10 Q 11 Profits at different output levels. Output Total Revenue=p*q 3 17*3=51 4 16*4=64 5 15*5=75 6 14*6=84 12 13 14 15 16 17 Total Cost=ATC*q 13.3*3=40 11.75*4=47 11.2*5=56 11.17*6=67 18 19 20 Profits 51-40=11 64-47=17 75-56=19 84-67=17 The Marginal Revenue (MR) of the 4th unit is $13 and the Marginal Cost (MC) is 7. Therefore, profits increase by MR-MC=$6 if produce output of 4 compared to an output of 3. (From above table, you can see that profits increase by 17-11=6 if produce 4th unit.) The Marginal Revenue (MR) of the 5th unit is $11 and the Marginal Cost (MC) is 9. Therefore, profits increase by MR-MC=$2 if produce output of 5 compared to an output of 4. (From above table, you can see that profits increase by 19-17=2 if produce 5th unit.) The Marginal Revenue (MR) of the 6th unit is $9 and the Marginal Cost (MC) is 11. Therefore, profits increase (or decrease in this case since it is negative) by MR-MC=-$2 if produce output of 6 compared to an output of 5. (From above table, you can see that profits increase (or decrease in this case since it is negative) by 17-19=-2 if produce 6th unit.) 3
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