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The revenue will be at its maximum when the slope of the revenue curve is equal to zero. To determine the output that maximizes revenue, we take the first partial derivative of the revenue function with respect to output. This resultant function is the slope of the revenue function, also called marginal revenue.
Since profit is equal to revenue minus cost ((Q)=R(Q)C(Q)) you can solve a profit maximization problem either by differentiating the profit function and solving the equation (Q)=0, or by finding MR and MC by differentiating the revenue and cost functions and solving the equation, MR = MC.
Revenue Maximization Formula The formula works by multiplying the total number of units sold at a particular price point with the associated price per unit. This calculation can then be compared with different price points to identify the optimal level for maximum revenue generation.
Total revenue is maximised when marginal revenue = zero. This is the output at the mid-point of a linear demand curve and also where the price elasticity of demand = one. Total revenue = price per unit multiplied by quantity sold.
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