AP® Microeconomics · Unit 3 · Topic 3.5

Measuring Profit as a Rectangle on the Graph

A firm's total profit equals per-unit profit (price minus average total cost) times quantity sold, and that product is literally the area of a rectangle on the cost curve diagram.

A firm picks its output where marginal revenue equals marginal cost. That quantity is fixed once you find it. Profit then comes from comparing two things at that exact quantity: the price the firm charges and the average total cost of making each unit. Price minus ATC is profit per unit. Multiply that by the number of units and you get total profit. Geometrically, price minus ATC is a vertical distance, a height, and quantity is a horizontal distance, a width. Height times width is the area of a rectangle, so total profit shows up as one rectangle sitting on the graph, bounded above by price and below by ATC, stretching from zero out to the chosen quantity.

The rectangle only makes sense once the output is already set by MR equals MC. That is the connection to the rest of the unit: the production function and cost curves from earlier give you ATC and MC as curves, the MR equals MC rule from the firm's profit-maximizing decision tells you where on those curves to stand, and this topic just reads off the vertical gap between price and ATC at that one spot. Later, when perfect competition lets new firms enter, this rectangle is what shrinks. Entry pushes price down toward ATC until the rectangle flattens to a line and economic profit hits zero, which is the long-run equilibrium story coming next.

Key terms

Total profit
The firm's overall dollar profit, equal to price minus average total cost, times quantity.
Average total cost (ATC)
Total cost divided by quantity, the cost of producing one typical unit.
Profit-maximizing output
The quantity where marginal revenue equals marginal cost, where the firm chooses to produce.
Economic loss rectangle
When price falls below ATC at the chosen output, the same rectangle appears below the ATC curve, showing a loss instead of a profit.

Watch it explained

  1. How it worksHow do price minus average total cost and quantity become the height and width of profit?
  2. Worked exampleFind total profit when a firm sells 200 units at 9 dollars with average total cost of 7.
  3. Going furtherWhat does the rectangle look like when price falls below average total cost?
  4. Common mistakeWhy isn't the profit rectangle drawn at the output where ATC is lowest?

Check yourself

Your turn1 of 2
A firm sells 309 units at a price of 23 dollars, with average total cost of 9 dollars per unit. What is the firm's total profit, in dollars?

End of topic.