Project #1: Parts I, II & III: The demand function for a product is p = 30 – 0.3q and the average cost function is č = 0.2q + 5 + ", where p= price, and q=quantity demand. Part IV: f(x, y) = 3x + 4y g(x, y) = x² + y² = 100 Part III In this part, we assume that the supply function is given by, p = 8 +q Find the price and the quantity at the equilibrium. Calculate the consumer surplus. Calculate the producer surplus. 10. 11. 12. Part IV If the function f(x, y) = --- is subject to the constrain g(x, y) = . a) Use Lagrangian multipliers method to find the critical points of the function f (x, y). b) Plot the function in the 3-D graph in MATLAB. You can download the trial version of Matlab using the following link: https://uk.mathworks.com/campaigns/products/trials.html?prodcode=ML

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 6E
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Project #1:
Parts I, II & III: The demand function for a product is p = 30 – 0.3q and the average cost function
is č = 0.2q + 5+
where p= price, and q=quantity demand.
Part IV:
f(x, y) = 3x + 4y
g(x, y) = x? + y² = 100
Part III
In this part, we assume that the supply function is given by, p = 8+q
Find the price and the quantity at the equilibrium.
Calculate the consumer surplus.
Calculate the producer surplus.
10.
11.
12.
Part IV
If the function f(x,y) = is subject to the constrain g(x, y) = ...
a) Use Lagrangian multipliers method to find the critical points of the function f(x, y).
b) Plot the function in the 3-D graph in MATLAB.
You can download the trial version of Matlab using the following link:
https://uk.mathworks.com/campaigns/products/trials.html?prodcode=DML
Transcribed Image Text:Project #1: Parts I, II & III: The demand function for a product is p = 30 – 0.3q and the average cost function is č = 0.2q + 5+ where p= price, and q=quantity demand. Part IV: f(x, y) = 3x + 4y g(x, y) = x? + y² = 100 Part III In this part, we assume that the supply function is given by, p = 8+q Find the price and the quantity at the equilibrium. Calculate the consumer surplus. Calculate the producer surplus. 10. 11. 12. Part IV If the function f(x,y) = is subject to the constrain g(x, y) = ... a) Use Lagrangian multipliers method to find the critical points of the function f(x, y). b) Plot the function in the 3-D graph in MATLAB. You can download the trial version of Matlab using the following link: https://uk.mathworks.com/campaigns/products/trials.html?prodcode=DML
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