Answer:
-4.3; inelastic
Explanation:
Initial price = $6.45
Initial quantity demanded = 600
New price = $6.95
New quantity demanded = 400
Percentage change in Quantity demanded:
= (Change in quantity demanded ÷ Initial quantity demanded) × 100
= [(400 - 600) ÷ 600] × 100
= (-200 ÷ 600) × 100
= 0.3333 × 100
= -33.33%
Percentage change in price:
= (Change in price ÷ Initial price) × 100
= [($6.95 - $6.45) ÷ $6.45] × 100
= ($0.5 ÷ $6.45) × 100
= 0.0775 × 100
= 7.75%
Therefore, the price elasticity of demand is as follows:
= Percentage change in quantity demanded ÷ Percentage change in price
= -33.33 ÷ 7.75
= -4.3
Hence, the price elasticity of demand is inelastic.
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Answer: (1) 700 pizzas
(2) Its revenue increases by $2600.
Explanation:
Given that,
price elasticity of demand for his pizza = -4
Percentage change in price = 10%
Initial Quantity,
= 500 Pizzas
Elasticity of demand = 
-4 = 
= -4 × 0.1
= 0.4
= 0.4
∴ 
= 700
Initial price, 
= $20
Changed price, 
= $18
Revenue at t = 0
= 500 × 20 =$10000
Revenue at t = 1
= 700 × 18 = $12600
Therefore, from the above calculations it was seen that his revenue increases by ($12600 - $10000)= $2600 and its sales increases to 700.
