A firm's price–demand relation is

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A firm's price–demand relation is p=50−2xp = 50 - 2x, where pp is the price (in rupees) per unit and xx is the number of units sold. The total cost of producing xx units is C(x)=10x+80C(x)=10x+80 rupees. The profit is maximum when the firm sells (a) 1212 units (b) 1010 units (c) 2020 units (d) 88 units

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