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
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
Chapter1: Making Economics Decisions
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95f04c32-2a34-49c6-9103-ff9c62205d90%2F7f2799f9-2102-481c-973f-3c64bd7b1b5d%2F8n8o55_processed.png&w=3840&q=75)
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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