Final answer:
The market equilibrium price is $400 and the equilibrium quantity is 100,000 units, resulting in a total company's revenue of $40,000,000. If the government sets a price ceiling at $200, it creates a shortage of 30,000 units in the market.
Step-by-step explanation:
To determine the market equilibrium price and quantity for mobile phones, we set the demand function (Qd) equal to the supply function (Qs):
140,000 - 100P = 80,000 + 50P
Solving for P (price), we get 60,000 = 150P, which means P = 400. Therefore, the equilibrium price is $400. Substituting P in the demand or supply function, we find the equilibrium quantity is 100,000.
The total company's revenue at the equilibrium situation is found by multiplying the equilibrium price and quantity: $400 * 100,000 = $40,000,000.
If the government sets a fixed price at $200, we determine the new quantity demanded and supplied:
Qd = 140,000 - 100*200 = 120,000
Qs = 80,000 + 50*200 = 90,000
Therefore, a shortage of 30,000 units is created (Qd > Qs). This price policy is known as a price ceiling.