Average and Marginal Cost

The cost of manufacturing $x$ units of a commodity is $4x^2+5x$. Find the output where marginal cost is equal to average cost.

The cost of manufacturing $x$ units of a commodity is $4x^2+3x$. Find the output where marginal cost is equal to average cost.

The cost of manufacturing $x$ units of a commodity is $x^2+3x$. Find the output where marginal cost is equal to average cost.

The cost of manufacturing $x$ units of a commodity is $x^2+4x$. Find the output where marginal cost is equal to average cost.

The cost of manufacturing $x$ units of a commodity is $27+15x+3x^2$. Find the output where marginal cost is equal to average cost.

The cost function for a certain commodity is $C\left(x\right)=8+4x-x^2$. Find average variable cost $\left(AVC\right)$ when $3$ items are produced.

The cost function for a certain commodity is $C\left(x\right)=6+4x-x^2$. Find average variable cost $\left(AVC\right)$ when $3$ items are produced.

The cost function for a certain commodity is $C\left(x\right)=4+4x-x^2$. Find average variable cost $\left(AVC\right)$ when $3$ items are produced.

If the total cost of producing and marketing $x$ units of commodity is given by $7x+\frac{1}{6}{x}^2+2$, then find average fixed cost$\left(AFC\right)$ when $5$ units are produced.

If the total cost of producing and marketing $x$ units of commodity is given by $3x+\frac{1}{6}{x}^2+6$, then find average fixed cost$\left(AFC\right)$ when $5$ units are produced.

If the total cost of producing and marketing $x$ units of commodity is given by $7x+\frac{1}{6}{x}^2+6$, then find average fixed cost$\left(AFC\right)$ when $5$ units are produced.

If the total cost of producing and marketing $x$ units of commodity is given by $7x+\frac{1}{6}{x}^2+4$, then find average fixed cost$\left(AFC\right)$ when $5$ units are produced.

If the cost function for certain commodity is $C\left(x\right)=9-\frac{1}{5}{x}^2+6x$, then find average total cost$\left(ATC\right)$ when $6$ items are produced.

The cost function for a certain commodity is $C\left(x\right)=2+4x-x^2$. Find average variable cost $\left(AVC\right)$ when $3$ items are produced.

Find the total revenue and marginal revenue for a firm operating under pure competition with a current price of $₹15$ per unit.

Find the marginal revenue function for a monopolist's demand function which is $x=50-\frac{p}{4}$.

Calculate the marginal revenue for any level of output $x$ when the demand function of a monopolist is given by $p=1500-2x-x^2$.

Also, find the marginal revenue $\left(MR\right)$ when $x = 10$. 

The demand function of a monopolist is $P\left(x\right)=300-x^2$. Find the marginal revenue function.

Find the output $x$ when revenue is maximum in case when the demand function of a monopolist is $P\left(x\right)=300-x^2$.