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2 months ago

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When the price of a bar of chocolate is $1.00, the quantity demanded is 100,000 bars. When the price rises to $1.50, the quantit

y demanded falls to 60,000 bars. Calculate the price elasticity of demand using the mid-point method. Instructions: Round your answers to two decimal places. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. a. Suppose the price increases from $1.00 to $1.50. The price elasticity of demand is: -1.25 . b. Suppose the price decreases from $1.50 to $1.00. The price elasticity of demand is: -1.25 .

1 answer:

arsen [3.4K]2 months ago

7 0

Answer:

a. -1.25

b. -1.25

Explanation:

Price elasticity measures how demand varies with price fluctuations.

The formula is:

= % change in Quantity / % change in Price

a. If the price moves from $1.00 to $1.50, the elasticity of demand will be:

% change in Quantity calculated using the midpoint method;

$=\frac{Q2 - Q1}{\frac{Q1 + Q2}{2} } \\\\= \frac{60,000 - 100,000}{\frac{100,000 + 60,000}{2}} \\\\= -0.5$

% Change in Price calculated with the midpoint formula

$=\frac{P2 - P1}{\frac{P1 + P2}{2} } \\\\= \frac{1.5 - 1.00}{\frac{1.00 + 1.50}{2} } \\\\= 0.4$

= -0.5/0.4

=-1.25

b. If the price decreases from $1.50 to $1.00, the elasticity of demand is:

% change in Quantity calculated using the midpoint formula;

$=\frac{Q2 - Q1}{\frac{Q1 + Q2}{2} } \\\\= \frac{100,000 - 60,000}{\frac{100,000 + 60,000}{2}} \\\\= 0.5$

% Change in Price calculated using the midpoint formula

$=\frac{P2 - P1}{\frac{P1 + P2}{2} } \\\\= \frac{1.00 - 1.50}{\frac{1.00 + 1.50}{2} } \\\\= -0.4$

= 0.5/-0.4

= -1.25

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