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The elasticity of demand for the demand function x = p1p is: - Business Mathematics and Statistics

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प्रश्न

The elasticity of demand for the demand function x = `1/"p"` is:

पर्याय

  • 0

  • 1

  • `-1/"p"`

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उत्तर

1

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Applications of Differentiation in Business and Economics
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Applications of Differentiation - Exercise 6.6 [पृष्ठ १५५]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 6 Applications of Differentiation
Exercise 6.6 | Q 5 | पृष्ठ १५५

संबंधित प्रश्‍न

Revenue function ‘R’ and cost function ‘C’ are R = 14x – x2 and C = x(x2 – 2). Find the

  1. average cost
  2. marginal cost
  3. average revenue and
  4. marginal revenue.

For the demand function p = 550 – 3x – 6x2 where x is quantity demand and p is unit price. Show that MR = 


The demand function of a commodity is p = `200 - x/100` and its cost is C = 40x + 120 where p is a unit price in rupees and x is the number of units produced and sold. Determine

  1. profit function
  2. average profit at an output of 10 units
  3. marginal profit at an output of 10 units and
  4. marginal average profit at an output of 10 units.

The total cost function y for x units is given by y = 3x`((x+7)/(x+5)) + 5`. Show that the marginal cost decreases continuously as the output increases.


Find the price elasticity of demand for the demand function x = 10 – p where x is the demand p is the price. Examine whether the demand is elastic, inelastic, or unit elastic at p = 6.


The cost function of a firm is C = x3 – 12x2 + 48x. Find the level of output (x > 0) at which average cost is minimum.


The total cost function for the production of x units of an item is given by C = 10 - 4x3 + 3x4 find the

  1. average cost function
  2. marginal cost function
  3. marginal average cost function.

Find out the indicated elasticity for the following function:

p = xex, x > 0; ηs


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


Relationship among MR, AR and ηd is:


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