The profit of a firm is described by the following function: f(Q) = -4Q^3 +48Q^2- 117Q-100 where Q is the quantity produced a) Find the stationary points for this function b) Using the first derivative test, find for what value of Q is the profit maximised. c) Find the feasible values of Q where the graph of the profit function is concave up. Show working

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
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The profit of a firm is described by the following function: f(Q) = -4Q^3 + 48Q^2 -
117Q-100 where Q is the quantity produced
a) Find the stationary points for this function
b) Using the first derivative test, find for what value of Q is the profit maximised.
c) Find the feasible values of Q where the graph of the profit function is concave
up. Show working
Transcribed Image Text:The profit of a firm is described by the following function: f(Q) = -4Q^3 + 48Q^2 - 117Q-100 where Q is the quantity produced a) Find the stationary points for this function b) Using the first derivative test, find for what value of Q is the profit maximised. c) Find the feasible values of Q where the graph of the profit function is concave up. Show working
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Can you explain the ( Compare the values ) part and how Q = 6.5 is profit maximized?

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For part (b), the question asked to use first derivative. But the answer you provided was about second derivative. Please fix this. Greatly Appreciated!!

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Could you specifically explain question (b), such as the process in detail and how you got the correct solution

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