Assume compnay ABC faces the following total revenue and cost function TR=8Q and TC=Q2+4Q+2.find the maximum level of output and profit
For profit maximization,
MR= MC
MR = 8
MC= 2Q+4
∴2Q+4=8\therefore2Q+4= 8∴2Q+4=8
2Q=42Q= 42Q=4
Q= 2
Π=TR−TC\Pi= TR- TCΠ=TR−TC
8Q- (Q2+4Q+2)=8×2−(22+(4×2)+2Q^2+4Q+2)= 8\times2- (2^2+(4\times2)+2Q2+4Q+2)=8×2−(22+(4×2)+2
= 16-16= 0
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