Suppose we have a function z = a > 0. f(x, y) = -x² – y² + a(x +y) where a is exogenous and a. Describe the shape of this function and what values of x and y lead to the optimum z. b. At the optimum, how do x*, y*, and z* change when a changes?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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11. Suppose we have a function z =
f(x, y) = -x² – y² + a(x+ y) where a is exogenous and
a > 0.
a. Describe the shape of this function and what values of x and y lead to the optimum z.
b. At the optimum, how do x*, y*, and z* change when a changes?
Transcribed Image Text:11. Suppose we have a function z = f(x, y) = -x² – y² + a(x+ y) where a is exogenous and a > 0. a. Describe the shape of this function and what values of x and y lead to the optimum z. b. At the optimum, how do x*, y*, and z* change when a changes?
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