Calculus

Application of Derivatives

Medium

applied

The demand function for a monopolist is given by $x = 100 - 4p$ , then the marginal revenue, when $x=6$ is (where $x$ is the number of units and $p$ is the price per unit)

✅ Correct Option: 1

From $x=100-4p$ we get $p=25-\frac{x}{4}$ , so revenue is $R=px=25x-\frac{x^2}{4}$ . Then $MR=\frac{dR}{dx}=25-\frac{x}{2}$ , which at $x=6$ equals $25-3=22$ .

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The demand function for a monopolist is given by x=100−4px = 100 - 4px=100−4p, then the marginal revenue, when x=6x=6x=6 is (where xxx is the number of units and ppp is the price per unit)

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CUET Mathematics Past Year Questions (Topic-Wise)

The demand function for a monopolist is given by $x = 100 - 4p$ , then the marginal revenue, when $x=6$ is (where $x$ is the number of units and $p$ is the price per unit)