Relationship among MR, AR and ηd is:

MCQ

`eta_"d" = "AR"/("AR" - "MR")`

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Applications of Differentiation in Business and Economics

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Chapter 6 Applications of Differentiation
Exercise 6.6 | Q 6 | Page 155

A firm produces x tonnes of output at a total cost of C(x) = `1/10x^3 - 4x^2 - 20x + 7` find the

Find the elasticity of demand in terms of x for the following demand laws and also find the value of x where elasticity is equal to unity.

p = (a – bx)²

Find the elasticity of supply for the supply function x = 2p² + 5 when p = 3.

Show that MR = p`[1 - 1/eta_"d"]` for the demand function p = 400 – 2x – 3x² where p is unit price and x is quantity demand.

Find the elasticity of supply when the supply function is given by x = 2p² + 5 at p = 1.

Marginal revenue of the demand function p = 20 – 3x is:

If demand and the cost function of a firm are p = 2 – x and C = -2x² + 2x + 7 then its profit function is:

Instantaneous rate of change of y = 2x² + 5x with respect to x at x = 2 is:

Profit P(x) is maximum when

A company begins to earn profit at: