(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, q 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?

Economics For Today
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Author:Tucker
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Chapter5: Price Elasticity Of Demand And Supply
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Good afternoon

Pleae answer i and ii

(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curve
dq dp
-4. If price elasticily is E(p) :
4
When |E(p)| < 1,
p
for the bast will be p = 250
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:(c) Lara offers 100 autograph bats. If each is priced at p dollars, it is that the demand curve dq dp -4. If price elasticily is E(p) : 4 When |E(p)| < 1, p for the bast will be p = 250 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
Step 1

c)i) p= 250-q/4

Writing the demand equation in terms of p,

q/4=250-p

q=1000-4p

finding the first order derivative

dq/dp= -4

The price elasticity of demand is given as

Ed= (dq/q)/(dp/p)

    = dq/dp*p/q

 where dq/dp is the slope of the demand curve 

q= 100 

p= 250-q/4

p=250-100/4

   =250-25

   =225

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