EXCEL, economics

profilehaywhy92
Pricediscriminatingmonopoly-Excelexamplefile-1.xlsx

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 48 42 36 30 24 18 12 6 0 MR 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 42 30 18 6 -6 -18 -30 -42 MC 0 8 6 6 0 3.5 3.5 27 27 0

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