Answer:
Task 1. Use the table below to find the quantity of mangos demanded at each price.
For a price of $1, the quantity demanded of mangos is:
Q = 150 - 25 ($1)
Q = 125
For $2:
Q = 150 - 25 ($2)
Q = 150 - 50
Q = 100
For $3
Q = 150 - 25 ($3)
Q = 150 - 75
Q = 75
For $4
Q = 150 - 25 ($4)
Q = 150 - 100
Q = 50
For $5
Q = 150 - 25 ($5)
Q = 150 - 125
Q = 25
Task 2. Calculate the price elasticity of demand when the price falls from $5 to $4.
The formula is
Price Elasiticy of Demand (PED) = ((Q2 - Q1) / (Q2 + Q1) / 2 ) / ((P2 - P1) / ((P2 + P1) / 2)
Now, we plug the amounts into the formula
PED = ((50 - 25) / (50 + 25) / 2) / ((4 - 5) / (4 + 5) / 2)
PED = 0.1666 / -0.0556
PED = -3
We take the absolute value, 3, which is a PED higher than 1, meaning that demand is elastic: the quantity demanded in this case increased more than the price.
Task 3. When the price of a mango falls from $5 to $4, does total revenue fall or rise? How do you know?
Revenue = Price x Quantity
Under the first scenario, revenue = $5 x 25 = $125
Under the second scenario, revenue = $4 x 50 = $200
So revenue increased by $75.
Task 4. When the price of a mango falls from $3 to $2, does total revenue fall or rise?
First scenario = $3 x 75 = $225
Second scenario = $2 x 100 = 200
So revenue actually falls by $25.
