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

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter29: Resource Markets
Section: Chapter Questions
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Please specifically and importantly answer for part (b), please ensure that you use first differentiation, not second derivatives. Please dumb it down as much as possible. Greatly Appreciated!!!!

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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Please use the first derivative for part (b), not the second derivative. Please ensure to explain why Q = 6.5 is profit maximised.

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