EXCEL, economics
Sheet1
| Example with two different demand schedules in two markets, A and B, with MC=ATC=6 | ||||||||||
| Market A | ΔTRA/ΔQA= | |||||||||
| MID-Q | QA | PA | TRA | MRA | MC=ATC | |||||
| 0 | 48 | 0 | - | |||||||
| 0.5 | 1 | 42 | 42 | 42 | 6 | |||||
| 1.5 | 2 | 36 | 72 | 30 | 6 | |||||
| 2.5 | 3 | 30 | 90 | 18 | 6 | |||||
| 3.5 | 4 | 24 | 96 | 6 | 6 | |||||
| 4.5 | 5 | 18 | 90 | -6 | 6 | |||||
| 5.5 | 6 | 12 | 72 | -18 | 6 | |||||
| 6.5 | 7 | 6 | 42 | -30 | 6 | |||||
| 7.5 | 8 | 0 | 0 | -42 | 6 | |||||
| Profit from market A | 73.5 | |||||||||
| Market B | ΔTRB/ΔQB= | |||||||||
| MID-Q | QB | PB | TRB | MRB | MC=ATC | |||||
| 0 | 16 | 0 | - | |||||||
| 0.5 | 1 | 14 | 14 | 14 | 6 | |||||
| 1.5 | 2 | 12 | 24 | 10 | 6 | |||||
| 2.5 | 3 | 10 | 30 | 6 | 6 | |||||
| 3.5 | 4 | 8 | 32 | 2 | 6 | |||||
| 4.5 | 5 | 6 | 30 | -2 | 6 | |||||
| 5.5 | 6 | 4 | 24 | -6 | 6 | |||||
| 6.5 | 7 | 2 | 14 | -10 | 6 | |||||
| 7.5 | 8 | 0 | 0 | -14 | 6 | |||||
| Profit from market A | 73.5 | |||||||||
| Profit from market B | 12.5 | |||||||||
| Total Profit from A and B | 86 | |||||||||
| Example with two different linear demand formulas in two markets, A and B, with MC=ATC=12 | ||||||||||
| Demand-A | MR-A | |||||||||
| DA: PA=48-6QA | PA | QA | P | Q | ||||||
| MRA: MRA=48-12QA | 48 | 0 | 48 | 0 | ||||||
| 0 | 8 | 0 | 4 | |||||||
| Demand-B | MR-B | |||||||||
| DB: PB=16-2QB | P | Q | P | Q | ||||||
| MR2 | MRB: MRB=16-4QB | 16 | 0 | 16 | 0 | |||||
| 0 | 8 | 0 | 4 | |||||||
| MC=ATC=12 | ||||||||||
| Set MRA=MC: | ||||||||||
| 48-12QA=12 | ||||||||||
| Solve for QA: | ||||||||||
| QA=(48-12)/12=3 | ||||||||||
| Set MRB=MC: | ||||||||||
| 16-4QB=12 | ||||||||||
| Solve for QB: | ||||||||||
| Q=(16-12)/4=1 | ||||||||||
| Total profit = Profit from A + Profit from B = 54+2 = 56 |
Demand 0 1 2 3 4 5 6 7 8 16 14 12 10 8 6 4 2 0 MR 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 14 10 6 2 -2 -6 -10 -14 MC 0 8 6 6 profit max P & Q 0 2.5 2.5 11 11 0
D1 0 8 48 0 MR1 0 4 48 0 MC=ATC=12 0 8 12 12 Max profit P & Q 0 3 3 30 30 0
D2 0 8 16 0 MR1 0 4 16 0 MC=ATC=12 0 8 12 12 max profit P & Q 0 1 1 14 14 0
Market A
Market B
MC=12