Exercise IV: Partial derivatives II 1. If you deposit an amount S at the bank at a continuous yearly interest rate r, then the amount in your account after t years will be A(S,t) = Se". Find and and interpret these quantities. as
Exercise IV: Partial derivatives II 1. If you deposit an amount S at the bank at a continuous yearly interest rate r, then the amount in your account after t years will be A(S,t) = Se". Find and and interpret these quantities. as
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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![Exercise IV: Partial derivatives II
1. If you deposit an amount S at the bank at a continuous yearly interest rate r, then
the amount in your account after t years will be
A(S, t) = Se".
JA
Find
and
as
and interpret these quantities.
2. A company's production output P is given in tons, and is a function of the number
of workers N and the value of the equipment V, in units of $25, 000. The production
function for the company is
P(N,V) = 5N³/4y/4.
The company currently employs 80 workers, and has equipment worth $750, 000.
(a) What are N and V in this case?
(b) Find Py and Pv, then the values of P, PN, and Py at the values of N and V
that you found in (a).
(c) Give units and explain what each answer means in this context.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7983759-2d6a-4c28-9eb2-78e4807fae40%2Fe7e2c8b3-9441-41fb-896f-9efa353f65f2%2Fr2z41o_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise IV: Partial derivatives II
1. If you deposit an amount S at the bank at a continuous yearly interest rate r, then
the amount in your account after t years will be
A(S, t) = Se".
JA
Find
and
as
and interpret these quantities.
2. A company's production output P is given in tons, and is a function of the number
of workers N and the value of the equipment V, in units of $25, 000. The production
function for the company is
P(N,V) = 5N³/4y/4.
The company currently employs 80 workers, and has equipment worth $750, 000.
(a) What are N and V in this case?
(b) Find Py and Pv, then the values of P, PN, and Py at the values of N and V
that you found in (a).
(c) Give units and explain what each answer means in this context.
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