Wize University Microeconomics Textbook > Monopoly
Profit Maximization
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Profit Maximization in a Monopoly
2 Key Assumptions of a Monopoly:
- Price Setter - a monopoly is when there is only one firm in the industry that has a lot of market power, which means they have a lot of influence over the prices they set (opposite of perfect competition where each firm is a price taker and has no market power).
- High Barriers to Entry - it is difficult for new firms to enter the market Example: Government doesn't allow new firms to enter or patents for a new medicine.
Profit Maximization
- If Marginal Revenue (MR) > Marginal Cost (MC) , the firm shouldincreaseoutput
- If Marginal Revenue (MR) < Marginal Cost (MC) , the firm shoulddecreaseoutput
- When MR = MC , profit ismaximized

Marginal Revenue
Marginal revenue is the additional revenue from selling one additional unit.
- When Total Revenue (TR) is decreasing, the Marginal Revenue (MR) isnegative
- When TR is increasing, the MR ispositive
- When TR is at its maximum, MR is equal to0. In the diagram above this is at an output of25.
Steps to Find Profit for a Monopoly
- Make MR = MC to find profit maximizing output. In the diagram below this is at an output of20
- Plug that output in the demand to find the price. This is at a price of$80
- Plug that same output in the ATC. This is at a cost of$70
- Find profit using the formula Profit = (P - ATC) * Q =(80 - 70) * 20 = $200


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Example: Profit Maximization
In the short run, a monopolist with a loss of $50, along with marginal revenue of $20, and marginal cost of $15, should
A) shut down
B) expand output and raise price
C) expand output and cut price
D) cut output and raise price
C
It doesn't matter that they are making a loss. If MR > MC they should increase output. To increase quantity they have to lower the price to get people to buy more.
Practice: Profit Maximization
If a profit-maximizing firm's marginal revenue is less than its marginal cost, the firm
Practice: Marginal Revenue
If the marginal revenue is negative: