5. Profit maximization: Imagine you are Aegor Rivers, founder of the elite mercenary band known as The Golden Company. Armies around the world all know your mercenaries by their golden banners and the signature elephants that they ride into battle. Your faction wages battle for 6 pounds of gold (P=6), while your men receive 3 pounds per day that they fight (w=3). You 'produce' battles at a rate of Q=f(E)=6E¹/2. What is the optimal number of days that your men should fight in the upcoming war (E*)? a. 6 days b. 18 days c. 36 days d. 40 days e. None of the above. F FOCUS

ECON MICRO
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ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter7: Production And Cost In The Firm
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5. Profit maximization:
Imagine you are Aegor Rivers, founder of the elite mercenary band known as The
Golden Company. Armies around the world all know your mercenaries by their
golden banners and the signature elephants that they ride into battle. Your faction
wages battle for 6 pounds of gold (P=6), while your men receive 3 pounds per day
that they fight (w=3). You 'produce' battles at a rate of Q=f(E)=6E¹/2. What is the
optimal number of days that your men should fight in the upcoming war (E*)?
a. 6 days
b.
18 days
c. 36 days
d.
40 days
e. None of the above.
Focus
im
Transcribed Image Text:5. Profit maximization: Imagine you are Aegor Rivers, founder of the elite mercenary band known as The Golden Company. Armies around the world all know your mercenaries by their golden banners and the signature elephants that they ride into battle. Your faction wages battle for 6 pounds of gold (P=6), while your men receive 3 pounds per day that they fight (w=3). You 'produce' battles at a rate of Q=f(E)=6E¹/2. What is the optimal number of days that your men should fight in the upcoming war (E*)? a. 6 days b. 18 days c. 36 days d. 40 days e. None of the above. Focus im
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How did you get step 2?

I am confused on how you went from 

dQ/dE= 6*1/2*E-1/2

to

VMP=6*6*1/2*E-1/2

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