question 10 (1 point) when the price of bubble gum is $0.55, the quantity demanded is 400 packs per day…

question 10 (1 point) when the price of bubble gum is $0.55, the quantity demanded is 400 packs per day. when the price falls to $0.45, the quantity demanded increases to 600. given this information, and using the mid - point method, what do you know about the demand for bubble gum? it is perfectly inelastic. it is elastic. it is unit elastic. it is inelastic.
Answer
Explanation:
Step1: Calculate percentage change in quantity demanded
The formula for percentage change in quantity demanded using the mid - point method is $\frac{Q_2 - Q_1}{\frac{Q_2+Q_1}{2}}\times100%$. Here, $Q_1 = 400$, $Q_2=600$. So, $\frac{600 - 400}{\frac{600 + 400}{2}}\times100%=\frac{200}{500}\times100% = 40%$.
Step2: Calculate percentage change in price
The formula for percentage change in price using the mid - point method is $\frac{P_2 - P_1}{\frac{P_2+P_1}{2}}\times100%$. Here, $P_1 = 0.55$, $P_2 = 0.45$. So, $\frac{0.45-0.55}{\frac{0.45 + 0.55}{2}}\times100%=\frac{- 0.1}{0.5}\times100%=-20%$.
Step3: Calculate price elasticity of demand
The price elasticity of demand ($E_d$) is the ratio of the percentage change in quantity demanded to the percentage change in price. $E_d=\frac{\text{Percentage change in quantity demanded}}{\text{Percentage change in price}}=\frac{40%}{-20%}=- 2$. Since $|E_d| = 2>1$, demand is elastic.
Answer:
It is elastic.