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Profit P(x) is maximum when - Business Mathematics and Statistics

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प्रश्न

Profit P(x) is maximum when

विकल्प

  • MR = MC

  • MR = 0

  • MC = AC

  • TR = AC

MCQ
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उत्तर

MR = MC

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Applications of Differentiation in Business and Economics
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Applications of Differentiation - Exercise 6.6 [पृष्ठ १५५]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 6 Applications of Differentiation
Exercise 6.6 | Q 10 | 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.

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


The demand curve of a commodity is given by p = `(50 - x)/5`, find the marginal revenue for any output x and also find marginal revenue at x = 0 and x = 25?


The supply function of certain goods is given by x = a`sqrt("p" - "b")` where p is unit price, a and b are constants with p > b. Find elasticity of supply at p = 2b.


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.


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.

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.


For the demand function p x = 100 - 6x2, find the marginal revenue and also show that MR = p`[1 - 1/eta_"d"]`


If the demand function is said to be inelastic, then:


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