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3. (5 pts.) FMC corporation has estimated its profit function as: II =-1/3Q3 + 202 +12Q - 6 a. Determine the output level tha

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Answer #1

a) output would be maximised where dP/dQ = 0

P = profit function

dP/dQ = -Q​​​​​2​ + 4Q + 12 = 0

Q = 6 (maximum profit output level)

(This is a maxima as d​​​​​​2​​​​​P/dQ​​​​​2 is negative)

b)  

Profit (maximum) = -63/3 + 2 x 62 +12 x 6 - 6 = 66

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