Understanding Marginal Revenue
Marginal revenue shows the extra revenue from selling one more unit. For a linear demand curve, price falls as quantity rises. That change matters. The seller must lower price on all units, not only the next unit. So marginal revenue drops faster than price.
This calculator uses the inverse demand form P = a - bQ. Here, a is the price intercept. It is the price when quantity is zero. The value b is the demand slope size. It tells how much price falls for each extra unit. Total revenue equals price times quantity. After substitution, total revenue becomes aQ - bQ². The derivative of that expression gives marginal revenue.
Why Linear Demand Is Useful
A linear curve is simple, but it is powerful. It gives clear revenue signals. It also helps students, analysts, and small businesses test output choices. When marginal revenue is positive, another unit adds revenue. When it is zero, total revenue is at its highest point. When it is negative, more output lowers total revenue.
The calculator also shows elasticity. Elasticity explains how sensitive buyers are to price. On the upper part of a linear demand curve, demand is elastic. In the middle, elasticity is one. On the lower part, demand is inelastic. Marginal revenue turns zero at unit elasticity.
Using Cost Fields
Marginal revenue is not the same as profit. Profit also depends on cost. This page includes fixed cost and variable cost fields. These fields estimate total cost, profit, and marginal profit. Marginal profit compares marginal revenue with variable cost. If marginal profit is positive, the selected output may still add profit. If it is negative, the next unit may reduce profit.
Better Decisions From One Line
Linear demand models are often used before deeper forecasting. They are easy to explain. They also show the link between price, quantity, total revenue, and elasticity. Use the result as a planning guide. Check real market data before making final pricing decisions. A clean demand line helps you see the tradeoff quickly.
Because every input stays visible, you can compare scenarios. Change slope, quantity, or cost. Then run the model again. Small changes often reveal the best output range and safer pricing limits for demand planning today.