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if the quantity of rental units increases by 10 percent when the monthl…

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.

Explanation:

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.

Answer:

c. inelastic.