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ololo11
20 days ago
6

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 .
Business
1 answer:
arsen [3.4K]20 days 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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Year          Pre-tax         GAAP Tax-  Tax Taxable   Income Tax      Deferred

          GAAP Income  able Income    Income      Payable Expense  Liability

                  (a)                     (b)                (c)             25%       25%   (Recovery)

                                                                                of (c)      of (b)  

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2023       240,000         210,000      240,000    60,000   52,500     (7,500)

Total     $960,000      $840,000    $840,000  $210,000 $210,000      0

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GAAP depreciation expense = 25% for 2020, 2021, 2022, and 2023

Tax rate for each year = 25%

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2022       240,000         210,000      240,000    60,000   52,500     (7,500)

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