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Harrizon [31]
3 years ago
14

Consider the following demand schedule: Price Quantity Demanded $25 20 $20 40 $15 60 $10 80 What is the price elasticity of dema

nd between (using the arc formula) a) Price $25-$20 a) Price $20-$15 a) Price $15-$10
Business
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

3.05

1.38

0.725

Explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Arc elasticity of demand = midpoint change in quantity demanded / midpoint change in price  

Midpoint change in quantity demanded = change in quantity demanded / average of both demands

Price $25-$20

change in quantity demanded  = 40 - 20 = 20

average of both demands = (40 + 20) /2 = 30

Midpoint change in quantity demanded = 20/30 = 0.67

midpoint change in price = change in price / average of both price

change in price = $25 - $20 = $5

average of both price = ($25 + $20) / 2 = 22.5

Price $20-$15

change in quantity demanded  = 60 - 40 = 20

average of both demands = (60 + 40) /2 = 50

Midpoint change in quantity demanded = 20/50 = 0.4

midpoint change in price = change in price / average of both price

change in price = $20 - $15 = $5

average of both price = ($15 + $20) / 2 = 17.5

midpoint change in price = 5 / 17.5 = 0.29

0.4/0.29 = 1.38

Price elasticity of demand = 0.67 / 0.22 = 3.05

change in quantity demanded  = 80 - 60 = 20

average of both demands = (80 + 60) /2 = 70

Midpoint change in quantity demanded = 20/70 = 0.29

midpoint change in price = change in price / average of both price

change in price = $15 - $10 = $5

average of both price = ($15 + $10) / 2 = 12.5

5/12.5 = 0.4

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The present value of a future sum is given as follows:

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The Johnson Family is looking to buy a new house on Belmont Road. Their insurance deductible is increased by $500 if they live m
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Answer:

a) Absolute Value Inequality => Absolute(0 + y) < 2

b) -2 < y < 2

Which means, Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible.

Explanation:

<u><em>Johnson Family has to live within the range of -2 to +2 from the fire department. </em></u>

<em>a) Absolute Value Equation:</em>

Absolute(0 + y) < 2

where y represent the location of the new house and 0 represents the location of the fire department.

Furthermore,

<em>Absolute(0 + y) < 2 = (0 + x) < 2 when (0 + y) is +ve. </em>

and

<em>Absolute(0+y) <2 =  -(0 + x) < 2 when (0 + y) is -ve. </em>

b) When (0 + y) is +ve,

we have,  (0 + y) < 2.

<em>Solving for y and subtracting 0 from both sides. </em>

0-0 + y < 2 - 0

<em>y < 2</em>

and when (0 + y) is -ve,

<em>we have, - (0 + y) < 2. </em>

Solving for y:

- 0 - y < 2

multiplying negative from both sides

<em>y > - 2</em>

<em>So, we have -2 < y < 2 </em>

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