Price of a Commodity The unit price of a certain commodity is given by the following where p is measured in dollars and t is measured in months. p = f(t)=7+4e-4t (a) Determine whether f(t) is increasing or decreasing over (0, 0). O increasing O decreasing (b) Determine whether f(t) is concave up or down on (0, 0). O upward O downward (c) Evaluate the limit as t→ ∞ of f(t). (Note: This value is called the equilibrium price of the commodity, and in this case, we have price stability.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 2E
Question
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Price of a Commodity The unit price of a certain commodity is given by the following where p is measured in dollars and t is
measured in months.
p = f(t)=7+4e-4t
(a) Determine whether f(t) is increasing or decreasing over (0, 0).
O increasing
O decreasing
(b) Determine whether f(t) is concave up or down on (0, 0).
O upward
O downward
(c) Evaluate the limit as t→ ∞ of f(t).
(Note: This value is called the equilibrium price of the commodity, and in this case, we have price stability.)
Transcribed Image Text:Price of a Commodity The unit price of a certain commodity is given by the following where p is measured in dollars and t is measured in months. p = f(t)=7+4e-4t (a) Determine whether f(t) is increasing or decreasing over (0, 0). O increasing O decreasing (b) Determine whether f(t) is concave up or down on (0, 0). O upward O downward (c) Evaluate the limit as t→ ∞ of f(t). (Note: This value is called the equilibrium price of the commodity, and in this case, we have price stability.)
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