Home
Class 11
MATHS
A company manufactures cassettes and its...

A company manufactures cassettes and its cost and revenue functions for a week are `C=300+3/2x` and `R=2x` respectively, where `x` is the number of cassettes produced and sold in a week. How many cassettes must be sold for the company to realize a profit?

Text Solution

Verified by Experts

Profit `= R(x) - C(x) `
`⇒ 2x - (300 + 1.5)`
`⇒ 2x - 1.5 = 300`
`⇒ 0.5x = 300`
`⇒ x = 300/0.5`
`⇒ x = > 3000` Cassettes Answer.
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos

  • MATHEMATICAL INDUCTION

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

A company manufactures cassettes. Its cost and revenue functions are C(x)=26000+30x and R(x)= 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit ?

A company manufactures cassettes and its cost and revenue functions are C(x)=26000+30x and R(x)=43x respectively,where x is number of cassettes produced and sold in a week.How many cassettes must be sold per week to realise some profit.

A company manufactures cassettes and its cost eqution for a week C=300+1.5x and its revenue equation is R=2x , where x is the number of cassettes sold in a week. How many cassettes must be sold for the company to relize a profit?

The cost and revenue functions of a product are given by C(x)=2x+400 and R(x)=6x+20 respectively,where x is the number of items produced by the manufacturer.How many items the manufacturer must sell to realize some profit?

If the cost and revenue funcation of a product are respectively C(x) = 5x + 700 and R(x) = 15 x + 100 , where 'x' is the number of products then what will be the value of 'x' to get profit ?

A manufacturer can sell x items at the price of Rs.(330-x) each.The cost of producing xitems is Rs.x^(2)+10x-12. How many items must be sold so that his profit is maximum?

P(x)=-5x^(2)+125x+37500 is the total profit function of a company, where x is the production of the company. What will be the maximum profit?

Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: What is the maximum profit which can manufacturer earn?

Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: What is the profit/loss if 400 barrels are produced

RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve the following linear inequations in Rdot (7x-5)/(8x+3)<4

    Text Solution

    |

  2. Solve the following linear inequations in Rdot (5x+8)/(4-x)<2

    Text Solution

    |

  3. A company manufactures cassettes and its cost and revenue functions...

    Text Solution

    |

  4. A solution is to be kept between 68oF and 77oF . What is the range in ...

    Text Solution

    |

  5. Show that the following system of linear equations has no solution:...

    Text Solution

    |

  6. Solve each of the following system of equations in Rdot 0<(-x)/2<3

    Text Solution

    |

  7. Solve each of the following system of equations in Rdot (2x-3)/4-2...

    Text Solution

    |

  8. Write the solution set of inequation |x+1/x|> 2.

    Text Solution

    |

  9. Solve each of the following system of equations in Rdot (|x-1|-1)/...

    Text Solution

    |

  10. write the solution set of inequation: |1/(x-2)| &lt;4,x!=4.

    Text Solution

    |

  11. Solve each of the following system of equations in Rdot |x-1|+|x...

    Text Solution

    |

  12. Solve each of the following system of equations in Rdot |x+1|+|x|>...

    Text Solution

    |

  13. Solve each of the following system of equations in Rdot 1/(|x|-3)l...

    Text Solution

    |

  14. Solve: |x-1|+|x-2|geq4

    Text Solution

    |

  15. Solve: (|x-1|-1)/(x+2)<1.

    Text Solution

    |

  16. write the solution set of inequation: |1/(x-2)| &lt;4,x!=4.

    Text Solution

    |

  17. Solve: (|x+3|+x)/(x+2)>1

    Text Solution

    |

  18. Solve: (|x|-1)/(|x|-2)geq0,x in R ,x!=+-2.

    Text Solution

    |

  19. Solve: (-1)/(|x|-2)geq1,w h e r ex in R ,x!=+-2.

    Text Solution

    |

  20. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

    Text Solution

    |