Jim Whitney Economics 102
Firm profit geometry
 
Step 1: Find Q* where MR=MC (on the upward-sloping portion of the MC curve) 
Step 2: Label the 3 boxes determined by where Q* crosses P, ATC, and AVC. 
Step 3: Indicate below which boxes correspond to TR, TC, TVC, TFC, and P.
TR = 
TC = 
TVC = 
TFC = 
P
TR = 
TC = 
TVC = 
TFC = 
P
TR = C 
TC = ABC 
TVC = BC 
TFC = A 
P = TR-TC = C-ABC =  -AB
Question 1: Is P > or = 0 if the firm operates?
    No: P = -AB
Question 2: Is TR > or = TVC? (skip if P > or = 0)
    No: TR (=C) < TVC (=BC)
Question 3: What should the firm do in the long run (LR) and short run (SR)?
       LR: Consider exit from the industry 
   SR: Shut down
Key formulas to see where each value shows up in the firm diagram:
    TR = P·Q
    TC = ATC·Q (since ATC = TC/Q)
    TVC = AVC·Q
    TFC = AFC·Q = (ATC-AVC)·Q
    P = (P - ATC)·Q (since P = TR - TC = P·Q - ATC·Q)