Convexity & Concavity Consider the function defined by the formula This function is 200 if 0 < x < 20 x y = f(x) = 30- x if 20 ≤x≤40 200 if 40 < x < 60 x a. Concave but not strictly concave b. Strictly convex c. Strictly concave d. Convex but not strictly convex e. I cannot tell because the second derivative of f(x) cannot be calculated
Convexity & Concavity Consider the function defined by the formula This function is 200 if 0 < x < 20 x y = f(x) = 30- x if 20 ≤x≤40 200 if 40 < x < 60 x a. Concave but not strictly concave b. Strictly convex c. Strictly concave d. Convex but not strictly convex e. I cannot tell because the second derivative of f(x) cannot be calculated
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Convexity & Concavity
Consider the function defined by the formula
This function is
200
if 0 < x < 20
x
y = f(x) =
30- x
if 20 ≤x≤40
200
if 40 < x < 60
x
a. Concave but not strictly concave
b. Strictly convex
c. Strictly concave
d. Convex but not strictly convex
e.
I cannot tell because the second derivative of f(x) cannot be calculated
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