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11th Standard English Medium Business Maths Subject Applications of Differentiation Book Back 2 Mark Questions with Solution Part - II

11th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 10
    5 x 2 = 10
  1. Find the elasticity of supply for the supply function x = 2p2 - 5p + 1, p > 3.

  2. For the function y = x3 +19 find the values of x when its marginal value is equal to 27.

  3. A firm produces x tonnes of output at a total cost of C(x) = \(\frac { 1 }{ 10 } \)x3 - 4x2 - 20x + 7 find the
    (i) average cost function
    (ii) average variable cost function
    (iii) average fixed cost function
    (iv) marginal cost function and
    (v) marginal average cost function.

  4. Find the elasticity of demand in terms of x for the following demand laws and also find the output (x), when the elasticity is equal to unity. 
    (i) p = (a - bx)2
    (ii) p = a - bx2

  5. Find the stationary value and the stationary points f(x) = x2 + 2x – 5.

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