(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 for the bast will be p = 250 -. If price elasticily is E(p) dp bp When JE(p)| < 1, demand is inelastic and when |E(p)| > 1, demand is elastic. (i) Find the price elasticity of demand for Lara's bats. (ii) Is demand inelastic or elastic?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Hi please answer b) iv  &  c) i & ii

Thanks

(b) A poll commissioned by a politician estimates that t days after he makes a statement
denegrating women, the percentage of his constituency (those who support him 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.
(i) 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?
lisot3-225
(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) =
4
When |E(p)| < 1, demand is inelastic and when |E(p)| > 1, demand is elastic.
(i) Find the price elasticity of demand for Lara's bats.
(ii) Is demand inelastic or elastic?
Transcribed Image Text:(b) A poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency (those who support him 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. (i) 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? lisot3-225 (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) = 4 When |E(p)| < 1, demand is inelastic and when |E(p)| > 1, demand is elastic. (i) Find the price elasticity of demand for Lara's bats. (ii) Is demand inelastic or elastic?
Expert Solution
Solution b (iv):

The function is St=75t2-3t+25t2+3t+25 and the derivative is S't=756t2-150t2+3t+252.

The approval rate is At=756t2-150t2+3t+252.

Substitute t = 10:

A10=756102-150102+310+2521.405

Hence, the approval rate is positive on the date of election.

c (i):

The demand is p=250-q4.

Differentiate it:  dpdq=-14

Obtain the price elasticity:

Ep=dqq÷dpp=dqdp×pq=-p250-p     since dqdp=1dpdq=-4 and q=4250-p

Therefore, the price elasticity is Ep=-p250-p.

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