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If the marginal revenue Rm = 40 and elasticity of demand η is 5, then the average revenue RA will be ______. - Mathematics and Statistics

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Question

If the marginal revenue Rm = 40 and elasticity of demand η is 5, then the average revenue RA will be ______.

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Solution

If the marginal revenue Rm = 40 and elasticity of demand η is 5, then the average revenue RA will be 50.

Explanation:

Given:

Marginal revenue Rm = 40 and

elasticity of demand (η) = 5

Rm = RA `(1 - 1/η)`

∴ 40 = `R_A (1 - 1/5)` 

∴ RA = `R_m/(1 - 1/5)`

∴ RA = `40/(1 - 1/5)`

∴ RA = `40/(4/5)`

∴ RA = `40 xx 5/4`

∴ RA = 50

∴ Average revenue (RA) = 50

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