Find the values of (x.y) that maximize the function f(x,y) = 80x – 2x?– xy - 3y? + 100y subject tothe constraint x + y = 12a. using the substitution method.b. using the Lagrange multiplier method.

The algebraic expression that shows the level of profits a firm can earn given its total cost of…

Find the values of (x,x) that maximize the function f(x,x) = 80x – 2x2- XV.– 3y² + 100y subject to the constraint x + y = 12 a. using the substitution method. b. using the Lagrange multiplier method.

Find the values of (x,x) that maximize the function f(x,x) = 80x – 2x2- XV.– 3y² + 100y subject to the constraint x + y = 12 a. using the substitution method. b. using the Lagrange multiplier method.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Find the values of (x.y) that maximize the function f(x,y) = 80x – 2x?– xy - 3y? + 100y subject to
the constraint x + y = 12
a. using the substitution method.
b. using the Lagrange multiplier method.

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