A team of financial advisers guiding the launch of a national newspaper has modelled the future circulation of the newspaper by the equation N = C(1 – e-kt) Where N is the daily circulation after t days of publication, and c and k are positive constants. Transpose this formula to show that 1 t =-In k N- When the paper is launched, audits show that C = 700,000 and k = In2 (a) Calculate the daily circulation after 30 days of publication. (b) After how many days will the daily circulation first reach 525,000? (c) What advice can you give the newspaper proprietor if it is known that the paper will break even only if the daily circulation exceeds 750,000?

A team of financial advisers guiding the launch of a national newspaper has modelled the future circulation of the newspaper by the equation N = C(1 – e-kt) Where N is the daily circulation after t days of publication, and c and k are positive constants. Transpose this formula to show that 1 t =-In k N- When the paper is launched, audits show that C = 700,000 and k = In2 (a) Calculate the daily circulation after 30 days of publication. (b) After how many days will the daily circulation first reach 525,000? (c) What advice can you give the newspaper proprietor if it is known that the paper will break even only if the daily circulation exceeds 750,000?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A team of financial advisers guiding the launch of a national newspaper has modelled
the future circulation of the newspaper by the equation
N = C(1 – e-kt)
Where N is the daily circulation after t days of publication, and c and k are positive
constants. Transpose this formula to show that
1
с
t =-In
k
N-
When the paper is launched, audits show that
C = 700,000 and k = In2
(a) Calculate the daily circulation after 30 days of publication.
(b) After how many days will the daily circulation first reach 525,000?
(c) What advice can you give the newspaper proprietor if it is known that the paper
will break even only if the daily circulation exceeds 750,000?

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