Answer:
The firm's profits if it charges the two prices as mentioned above = $ 1425
Explanation:
P.S - The exact question is -
Proof -
we calculate the profits individually for 2 different prices:
When price = $75:
Quantity sold = 15 units
Total revenue = 15 × 75 = $1125
Total cost = Marginal cost × quantity
= 20 x 15 = $ 300
⇒Total cost = $300
So,
Profit = 1125 - 300 = $825
When price = $35 :
Quantity sold = 55 - 15 (quantity purchased at price = $75)
⇒Quantity sold = 40
Total revenue = 40 × 35 = $1400
Total cost = Marginal cost × quantity
= 20 x 40 = $ 800
⇒Total cost = $800
So,
Profit = 1400 - 800 = $600
Now,
Total combined profit = 825 + 600 = $1425
∴ we get
The firm's profits if it charges the two prices as mentioned above = $ 1425