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From the data in Table 5.6 about supply of alarm clocks, calculate the price elasticity of supply from: point J to point K, point L to point M, and point N to point P. Classify the elasticity at each point as elastic, inelastic, or unit elastic.

PointPriceQuantity supplied
J\(850
K\)970
L\(1080
M\)1188
N\(1295
P\)13100

Short Answer

Expert verified

Supply curve from point J to K is elastic; from point L to M is unitary elastic; and from point N to P is inelastic.

Step by step solution

01

Step 1. Formula:

The elasticity of supply curve is computed through the Midpoint Method. To compute the elasticity of supply, the equations are used:

%changeinquantity=Q2-Q1Q2+Q1/2×100%changeinprice=P2-P1P2+P1/2×100Priceelasticityofsupply=%changeinquantity%changeinprice

02

Step 2. Supply curve price elasticity from point J to K:

%changeinquantity=70-5070+50/2×100=20120/2×100=2060×100=33.33%

%changeinprice=9-89+8/2×100=117/2×100=18.5×100=11.76%

Priceelasticityofsupply=33.3311.76=2.83

As the price elasticity value of supply curve is greater than 1, the supply curve is elastic in this part.

03

Step 3. Supply curve price elasticity from point L to M:

%changeinquantity=88-8088+80/2×100=8168/2×100=884×100=9.52%

%changeinprice=11-1011+10/2×100=121/2×100=110.5×100=9.52%

Priceelasticityofsupply=9.529.52=1

As the price elasticity value of supply curve is equal to 1, the supply curve is unitary elastic in this part.

04

Step 4. Supply curve price elasticity from point N to P:

%changeinquantity=100-95100+95/2×100=5195/2×100=597.5×100=5.13%

%changeinprice=13-1213+12/2×100=125/2×100=112.5×100=8%

Priceelasticityofsupply=5.138=0.64

As the price elasticity value of supply curve is less than 1, the supply curve is inelastic in this part.

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