PROFIT MAXIMISATION AND COMPETITIVE SUPPLY Profit maximization short term Cost, Income, Profit Slope of R(q) is MR & Slope of C(q) is MC. A B 0 Profit max. where the difference R(q) between R(q) – C(q) is the greatest. Distance between A and B is the greatest. C(q) q0 q* Output (q) Competitive Firm Price Firm Price Industry S $4 d $4 D 100 200 Q 100 Q Short run – Positive Profit Capital is fixed Price MC 50 A 40 AR=MR=P ATC AVC 30 q1 : MR > MC q2: MC > MR q*: MC = MR 20 10 0 1 2 3 4 5 MC(q) = MR = P = AR 6 7 q1 8 q* 9 q2 10 11 Output Short run- Positive Profit Price 50 40 MC Total Profit= ABCD A D AR=MR=P ATC 30 C AVC B 20 10 0 1 2 3 4 5 6 7 q1 8 q* 9 q2 10 11 Output Short run – Incurring losses MC Price ATC Loss C B D A P = MR AVC F E q* Output Competitive firm – Short run supply Price MC S P2 ATC P1 AVC P = AVC q1 q2 Output Competitive firm – Short run supply Price MC2 Input cost increase, MC shifts to MC2 MC1 $5 q2 q1 Output Competitive firm – Short run supply S Market supply = sum of the individual firms supply. Price P3 P2 P1 2 4 5 7 8 10 15 21 Quantity Producer Surplus in the short run Price MC Producer surplus AVC B A P q* Output Producer Surplus in the short run Price S P* Producer surplus D Q* Output Choosing output in the long run Price LMC LAC SMC SAC $40 D A P = MR C B $30 q1 q2 q3 Output Choosing output in the long run Over the long run capacity can increase. Output can increase to q3. Long run profit, EFGD > short run profit ABCD.LMC Prys LAC SMC SAC $40 D A P = MR C B G $30 F q1 q2 q3 Uitset Choosing output in the long run Price Prys Firm Industry S1 LMC $40 LAC P1 S2 P2 $30 D q2 Output Q1 Q2 Uitset Choosing output in the long run Price Firm Prys LMC Industry S2 LAC $30 P2 S1 P1 $20 D q2 Output Q2 Q1 Uitset Economic rent Price Profit = 0 LMC LAC $7 Quantity 1.0 Economic rent Price Economic rent LMC LAC $10 $7.20 Sell at a higher price in another town. Q 1.3 Constant-cost industry Price MC Industry Price Firm S1 AC P2 P2 P1 P1 S2 SL D1 q1 q2 Output Q1 Q2 D2 Output Increasing-cost industry Firm Industry SMC2 Price Prys SMC1 LAC1 P2 S1 S2 LAC2 P2 P3 P3 P1 P1 D1 q1 q2 Output SL Q1 Q2 Q3 D2 Output Decreasing-cost industry Price Industry Firm Price SMC1 S1 S2 SMCLAC 2 1 LAC2 P2 P2 P1 P1 P3 P3 SL D1 q 1 q2 Output Q1 Q2 Q3 D2 Output Effects of tax: firm Price MC2 = MC1 + tax Tax increase the MC and AVC MC1 The firm will decrease its output until MC + tax = P t P1 AVC2 AVC1 q2 q1 Output Effects of tax: industry Price S2 = S1 + t S1 t P2 Tax reduce supply, increase the price P1 D Q2 Q1 Output