(a) (b) x (c) (d) x . Marginal revenue of the demand function p = – x is (a) – x (b) – x (c) + x (d) + x - - Applications of Differentiation . If demand and the cost function of a firm are p = – x and C =– x + then its profit function is (a) x + (b) x - (c) (d) . If the demand function is said to be elastic, then (a) η d > (b) η d = (c) η d < (d) η d = .
The elasticity of demand for the demand function x = p is (a) (b) (c) (d) ∞ . Relationship among MR , AR and η d is (a) η d AR AR MR (b) η d AR MR (c) MR AR =η (d) AR MR = η . For the cost function C e , the marginal cost is (a) (b) e (c) e (d) e . Instantaneous rate of change of with respect to x at x = is (a) (b) (c) (d) .
If the average revenue of a certain firm is ` and its elasticity of demand is , then their marginal revenue is (a) ` (b) ` c) ` (d) ` . Profit P ( x ) is maximum when (a) MR = MC (b) MR = (c) MC = AC (d) TR = AC . The maximum value of f ( x )= sin x is (a) (b) (c) (d) . If f ( x , y ) is a homogeneous function of degree n , then x x y y is equal to (a) ( n – ) f (b) n ( n – ) f (c) nf (d) f .
If u xy then y x u is equal to (a) x + y + (b) (c)