Please help with part b) (b) A poll commissioned by a politician estimates thatt days after he makes a statementdenegrating women, the percentage of his constituency (those who support hìm at the time he75(t? – 3t + 25)made the statement) that still supports him is given by S(t) =:t2 + 3t + 25The election is 10 days after he made the statement.(1) If the derivative S'(t) may be thought of as an approval rate, derivate the a functionfor his approval rate.(ii) When was his support at its lowest level?(iii) What was his minimum support level?(iv) Was the approval rate positive or negative on the date of the election?(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curvedq dpfor the bast will be p = 250 – . If price elasticily is E(p)When JE(p)| < 1, demand is inelastic and when |E(p)| > 1, demand is elastic.(1) Find the price elasticity of demand for Lara's bats.(ii) Is demand inelastic or elastic?

Name: Please help with part b) (b) A poll commissioned by a politician estim
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Description: Please help with part b) (b) A poll commissioned by a politician estimates thatt days after he makes a statementdenegrating women, the percentage of his constituency (those who support hìm at the time he75(t? – 3t + 25)made the statement) that still

Given: Percentage of constituency that supports a politician is: St=75t2-3t+25t2+3t+25 Derivative of…

Answered: (b) A poll commissioned by a politician…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Please help with part b)

(b) A poll commissioned by a politician estimates thatt days after he makes a statement
denegrating women, the percentage of his constituency (those who support hìm at the time he
75(t? – 3t + 25)
made the statement) that still supports him is given by S(t) =:
t2 + 3t + 25
The election is 10 days after he made the statement.
(1) If the derivative S'(t) may be thought of as an approval rate, derivate the a function
for his approval rate.
(ii) When was his support at its lowest level?
(iii) What was his minimum support level?
(iv) Was the approval rate positive or negative on the date of the election?
(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curve
dq dp
for the bast will be p = 250 – . If price elasticily is E(p)
When JE(p)| < 1, demand is inelastic and when |E(p)| > 1, demand is elastic.
(1) Find the price elasticity of demand for Lara's bats.
(ii) Is demand inelastic or elastic?

Expert Solution

Step 1

Given:

Percentage of constituency that supports a politician is:

$S (t) = \frac{75 (t^{2} - 3 t + 25)}{t^{2} + 3 t + 25}$

Derivative of function S(t) is his approval rate.

(i) The function for his approval rate is:

$S' (t) = \frac{75 (2 t - 3) (t^{2} + 3 t + 25) - 75 (t^{2} - 3 t + 25) (2 t + 3)}{{(t^{2} + 3 t + 25)}^{2}} Simplifying we get, S' (t) = \frac{450 (t^{2} - 25)}{{(t^{2} + 3 t + 25)}^{2}}$

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