When the Elasticity function is \(\frac { x }{ x-2 } \). Find the function when x = 6 and y = 16.

A firm’s marginal revenue function is MR = 20e^-x/10 \(\left( 1-\frac { x }{ 10 } \right) \). Find the corresponding demand function.

The marginal cost of production of a firm is given by C'(x) = 5 + 0.13x, the marginal revenue is given by R'(x) = 18 and the fixed cost is Rs. 120. Find the profit function.

The demand equation for a products is x = \(\sqrt { 100-p } \) and the supply equation is x = \(\frac{p}{2}\) -10. Determine the consumer’s surplus and producer’s surplus, under market equilibrium.

A company requires f(x) number of hours to produce 500 units. It is represented by f (x) = 1800x^−0.4. Find out the number of hours required to produce additional 400 units. [(900)^0.6 = 59.22, (500)^0.6 = 41.63]