The total cost function of a firm is given by `C(x)=1/(3)x^(3)-5x^(2)+30x-15` where the selling price per unit is given as Rs 6. Find for what value of x will the profit be maximum.

The total cost function is given by C(x) = 2x^(3)-3.5x^(2) +x . Find the marginal average cost function.

If the total cost function is given by C(x) = 10x - 7x^(2) + 3x^(3) , then the marginal average cost

The total cost function is given by C(x) = 2x^(3) - 3 . 5 x^(2) + x . The point where MC curve cuts y-axis is

If the total cost of producing x units of a commodity is given by C(x)=(1)/(3)x^(2)+x^(2)-15x+300 , then the marginal cost when x=5 is

The total cost function of a firm is C= (5)/(3) x^(3)-10x^(2) + 32x + 15 , where C is the total cost and x is the output. A tax at the rate of Rs2 per unit is imposed by the Govermment and the producer adds it to its cost. Demand function is given by p= 4534-10x , where p is price per unit of the output. Find the profit function

If the total cost function for a manufacturer is given by C=(5x^(2))/(sqrt(x^(2)+3))+500 . Find the marginal cost.

The total cost function C(x) = 2x^(3) - 5x^(2) + 7x . Check whether the MAC increases or decreases with increase in outputs .

Given the total cost function for x units of a commodity as C(x) = (1)/(3) x^(3) + 2x^(2) - 5x + 10 .

The demand function of a certain commodity is given by p= 1000 - 25 x+x^(2) where 0le x le20 . Find the price per unit and total revenue from the sale of 5 units.

The total cost function of x units is given by C(x) = sqrt(6 x + 5) + 2500 . Show that the marginal cost decreases as the output x increases