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Given Q1 = 150 - 3P1 + P2 + P3 Q2 = 180 + P1 - 4P2 + 2P3 Q3 = 200 + 2P1 + P2 - 5P3 and TC = Q12 + Q1Q2 + 2Q22 + Q2Q3 + Q32 + Q1Q3 1. Find the inverse demand function P = f(Q) and use Cramer’s rule to solve for the critical value Q1. 2. Use Cramer’s rule to solve for the critical value Q2. 3. Use Cramer’s rule to solve for the critical value Q3. 4. Calculate the Hessian matrix. What is the value of |H3|? 5. Based on the Hessian, what can you say about the profit? Answer in one word.

Given Q1 = 150 - 3P1 + P2 + P3 Q2 = 180 + P1 - 4P2 + 2P3 Q3 = 200 + 2P1 + P2 - 5P3 and TC = Q12 + Q1Q2 + 2Q22 + Q2Q3 + Q32 + Q1Q3 1. Find the inverse demand function P = f(Q) and use Cramer’s rule to solve for the critical value Q1. 2. Use Cramer’s rule to solve for the critical value Q2. 3. Use Cramer’s rule to solve for the critical value Q3. 4. Calculate the Hessian matrix. What is the value of |H3|? 5. Based on the Hessian, what can you say about the profit? Answer in one word.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Given Q1 = 150 - 3P1 + P2 + P3 Q2 = 180 + P1 - 4P2 + 2P3 Q3 = 200 + 2P1 + P2 - 5P3 and TC = Q12 + Q1Q2 + 2Q22 + Q2Q3 + Q32 + Q1Q3 1. Find the inverse demand function P = f(Q) and use Cramer’s rule to solve for the critical value Q1. 2. Use Cramer’s rule to solve for the critical value Q2. 3. Use Cramer’s rule to solve for the critical value Q3. 4. Calculate the Hessian matrix. What is the value of |H3|? 5. Based on the Hessian, what can you say about the profit? Answer in one word.
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