Suppose that at a price of $30 per month, there are 30,000 subscribers to cable television in Small Town. If Small Town Cablevision raises its price to $40 per month, the number of subscribers will fall to 20,000. Using the midpoint method for calculating the elasticity, what is the price elasticity of demand for cable television in Small Town?
a. 0.66
b. 0.75
c. 1.0
d. 1.4
e. 2.0

Respuesta :

Answer:

-1.4

Explanation:

The computation of the price elasticity of demand using mid point formula is presented below:

= (change in quantity demanded ÷ average of quantity demanded) ÷ (percentage change in price ÷ average of quantity demanded)  

where,  

Change in quantity demanded would be

= Q2 - Q1

= 20,000 - 30,000

= -10,000

And, the average of quantity demanded would be

= (20,000 + 30,000) ÷ 2

= 25,000

Change in price would be

= P2 - P1

= $40 - $30

= $10

And,  the average of price would be

= ($40 + $30) ÷ 2

= 35

So, after solving this, the price elasticity of demand  is -1.4

The price elasticity of demand for cable television in Small Town is 1.4.

The price elasticity of demand is the ratio of the percentage change in the quantity demanded to the percentage change in the price of a good. It measures the sensitivity of quantity demanded to changes in the price of the good.

Price 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

change in quantity demanded = 20,000 - 30,000 = -10,000

average of both demands = (20,000 + 30,000) / 2 = 25,000

Midpoint change in quantity demanded= -10,000 / 25,000 = -0.40

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

change in price = $40 - $30 = $10

average of both price = ($40 + $30) / 2 = $35

Midpoint change in price = $10 / $35 = 0.29

Price elasticity of demand = -0.40 / 0.29 = -1.4 = 1.4

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