Revenue and Demand Function

The total cost function is given by $C=4X^2+7X+10.$ Find the average cost and marginal cost when $X=4.$

The demand function of a commodity is given by $D=35+3P-P^2.$ Find the Average revenue and marginal Revenue when $P=2.$

The demand function of a monopolist is given by $P=2000+4x+3x^2$. Find (i) the revenue function, (ii) the marginal revenue function.

The demand function of a monopolist is given by $P=2000+4x-x^2$. Find (i) the revenue function, (ii) the marginal revenue function.

The demand function of a monopolist is given by $P=2000-2x-x^2$. Find (i) the revenue function, (ii) the marginal revenue function.

The demand function of a monopolist is given by $P=3000-2x-x^2$. Find (i) the revenue function, (ii) the marginal revenue function.

The demand $x$ of a commodity in terms of price $p$ is given by $x=\frac{1}{9}(245-7p)$. The average cost is $Rs. 20$ per unit. Find the revenue function in terms of $p$.

The cost of manufacturing $x$ units of toys is modelled by $C\left(x\right)=10x-200$. The profit obtained from selling $x$ units is modelled by $P\left(x\right)=20x-4$. Find the revenue function $R$.

A manufacturer can sell $x$ items of commodity at a price of $\mathrm{Rs}.(330-\mathrm{x})$ each. Find the revenue function along with the cost of producing $x$ items is $\mathrm{Rs}.({\mathrm{x}}^2+10\mathrm{x}+12)$, determine the profit function.

The marginal revenue of selling x units of a commodity is given by $MR = 20 e^{x/10 }\left(1+\frac{x}{10}\right)$. If the revenue obtained  on selling $10$ units of the commodity is Rs$200e$, find the revenue function.

The demand function of a monopolist is given by $P=2000-2x-x^2$. Calculate the marginal revenue function from the revenue function derived from the demand function.

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