QUESTION IMAGE
Question
if the quantity of rental units increases by 10 percent when the monthly rental price doubles, the supply of rental units, other factors held constant, is:
a. perfectly elastic.
b. perfectly inelastic.
c. inelastic.
d. elastic.
Step1: Calculate %ΔPrice
A doubling of price means a 100% increase:
$\% \Delta P = 100\%$
Step2: Identify %ΔQuantity
Given quantity increase is 10%:
$\% \Delta Q_s = 10\%$
Step3: Compute Supply Elasticity
Use supply elasticity formula:
$E_s = \frac{\% \Delta Q_s}{\% \Delta P} = \frac{10\%}{100\%} = 0.1$
Step4: Classify Elasticity
Since $0 < E_s < 1$, supply is inelastic.
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c. inelastic.