(a) Suppose that f is differentiable, positive and decreasing on [a, b] and has no critical points. If g(z) = | f(t) dt. Is g increasing or decreasing? Is g concave up or down?
(a) Suppose that f is differentiable, positive and decreasing on [a, b] and has no critical points. If g(z) = | f(t) dt. Is g increasing or decreasing? Is g concave up or down?
Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter21: Production And Costs
Section21.3: Production
Problem 3ST
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Solve both parts plz
![(a) Suppose that f is differentiable, positive and decreasing on [a, b] and has no critical points.
If g(r) = | f(t) dt. Is g increasing or decreasing? Is g concave up or down?
(b) Economists study two functions: R(x)
and C(2) which are the revenue and cost when
r units of a product is sold or made, respectively.
The figure shows graphs of the R'(x) and C"(x)
for a certain manufacturer. Assume that R and
R'x)
2
C'x)
C are measured in thousands of dollars. What
does the shaded area in the figure represent?
50
100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9df3b085-100b-4cd2-9bfb-b1044600736a%2F63e0784a-1644-4b40-b1d9-6f724cdd04e9%2Frc2o0t6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Suppose that f is differentiable, positive and decreasing on [a, b] and has no critical points.
If g(r) = | f(t) dt. Is g increasing or decreasing? Is g concave up or down?
(b) Economists study two functions: R(x)
and C(2) which are the revenue and cost when
r units of a product is sold or made, respectively.
The figure shows graphs of the R'(x) and C"(x)
for a certain manufacturer. Assume that R and
R'x)
2
C'x)
C are measured in thousands of dollars. What
does the shaded area in the figure represent?
50
100
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