To find the total revenue (R(x)), we first need to understand that total revenue is the total income generated by a firm from selling a certain quantity of goods or services. In business mathematics and statistics, it is calculated as the product of the number of units sold, denoted by (x), and the selling price per unit, denoted by (p(x)). Thus, the general formula for total revenue is: [ R(x) = x \cdot p(x) ] Here, (x) represents the quantity sold, and (p(x)) is the price function, which may depend on the quantity (x). If the price per unit is constant, meaning (p(x) = p), then the formula simplifies to: [ R(x) = p \cdot x ] However, in many practical scenarios, the price varies depending on the number of units sold. This is especially common when demand affects price. For example, if the price decreases as the quantity increases, the price function (p(x)) may be given by a linear function like (p(x) = a - b x), where (a) and (b)