Need double check on Price Elasticity Please

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The discussion revolves around calculating the price elasticity of demand for soda when its price doubles from $1.00 to $2.00, while the quantity demanded remains unchanged. The initial attempt incorrectly applied the formula, leading to a misunderstanding of the percentage changes involved. The correct interpretation indicates that if the quantity demanded does not change, the percentage change in quantity is zero, making the elasticity calculation invalid. Participants clarify that the price elasticity of demand is actually perfectly inelastic in this scenario, as demand remains constant despite the price increase. The conversation highlights the importance of accurately applying economic formulas to understand demand elasticity.
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[SOLVED] Need double check on Price Elasticity Please

Question:
If the price of soda doubles from $1.00 per can to $2.00 per can and you buy the same amount, what is your price elasticity of demand for soda, and is it considered elastic or inelastic.

Formula:
% of Change in Quantity of Demand / % of Change in Price

Attempt:
I figure since the demand is the same the formula is 1/.5 = 2.0 So its inelastic correct?

I know this is a stretch on the forum considering its more economics. But this forum never let's me down :)
 
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Yes, your demand is perfectly inelastic over that price range. (It might not be perfectly inelastic if it went to a million dollars. :p.)
 
Kaleb said:
Question:
If the price of soda doubles from $1.00 per can to $2.00 per can and you buy the same amount, what is your price elasticity of demand for soda, and is it considered elastic or inelastic.

Formula:
% of Change in Quantity of Demand / % of Change in Price

Attempt:
I figure since the demand is the same the formula is 1/.5 = 2.0 So its inelastic correct?

I know this is a stretch on the forum considering its more economics. But this forum never let's me down :)
If "you buy the same amount" why is the "% of Change in Quantity of Demand" equal to 1? I would have thought the change was 0. Also if "If the price of soda doubles from $1.00 per can to $2.00 per can" why is the "% of Change in Price" 0.5? I would have thought it would be 100%.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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