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• Equate total revenue and total cost functions and solve for Q TR = P x Q TC = FC + (VC x Q) TR = TC Px Qg = FC + VC x Qg (P x Qa)-(VC x Qg) = FC Q (P- VC) = FC Qg = FC/(P-VC), or in terms of total dollar sales, PQ = (FxP)/(P-VC) = ((FxP)/P)/((P-VC)/P) = F/((P/P)-(VC/P)) = F/(1-VC/P) %3D

• Equate total revenue and total cost functions and solve for Q TR = P x Q TC = FC + (VC x Q) TR = TC Px Qg = FC + VC x Qg (P x Qa)-(VC x Qg) = FC Q (P- VC) = FC Qg = FC/(P-VC), or in terms of total dollar sales, PQ = (FxP)/(P-VC) = ((FxP)/P)/((P-VC)/P) = F/((P/P)-(VC/P)) = F/(1-VC/P) %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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how does the last equation come (red one) ??

Algebraic solution • Equate total revenue and total cost functions and solve for Q TR = PxQ TC = FC + (VC x Q) TR = TC Px Qg = FC + VC x Qg (P x Q)- (VC x Qg) = FC Qg (P- VC) = FC Qg = FC/(P- VC), or in terms of total dollar sales, PQ = (FxP)/(P-VC) = ((FxP)/P)/((P-VC)/P) = F/((P/P)- (VC/P)) = F/(1-VC/P)
Transcribed Image Text:Algebraic solution • Equate total revenue and total cost functions and solve for Q TR = PxQ TC = FC + (VC x Q) TR = TC Px Qg = FC + VC x Qg (P x Q)- (VC x Qg) = FC Qg (P- VC) = FC Qg = FC/(P- VC), or in terms of total dollar sales, PQ = (FxP)/(P-VC) = ((FxP)/P)/((P-VC)/P) = F/((P/P)- (VC/P)) = F/(1-VC/P)
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