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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA ENGLISH|Exercise All Questions|302 Videos
  • MATHEMATICAL INDUCTION

    RD SHARMA ENGLISH|Exercise All Questions|101 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 ?

The cost and revenue functions of a product are given by C(x)=2x+400\ a n d\ 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 company manufactures a new product with cost function is given by C(x) = 400 + 3x and the revenue received by on the sale of x units is given by x^2 + 3x . Then the break even point is:

The cost function of a product is given by C(x)=(x^(3))/(3)-45x^(2)-900x+36 where x is the number of units produced. How many units should be produced to minimise the marginal cost ?

A pottery store owner determines that the revenue for sales of a particular item can be modeled by the function r(x) = 50 sqrt(x) - 40 , where x is the number of the items sold. How many of the item must be sold to generate $110 in revenue?

If the demand function is x= (24-2p)/(3) where x is the number of units produced and p is the price per unit, then the revenue function R(x) is

A pizzeria's top-selling pizzas are The Works and The Hawaiian. The Works sells for $17, and The Hawaiian sells for $13. Ingredient costs for the works are $450 per week, and ingreading costs for The Hawaiian are $310 per week. If x represents the number of each type of pizza sold in one week, and the weekly profit from the sale of each type of pizza is the same, what is the values of x ?

The cost of manufacturing of certain items consists of Rs 600 as overheads Rs30 per item as the cost Rs x^2/100 of the material and the labour cost for x items produced. How many items must be produced to have average minimum cost.

The demand function is x = (24 - 2p)/(3) , where x is the number of units demanded and p is the price per unit. Find the revenue function R in terms of p.

RD SHARMA ENGLISH-LINEAR INEQUATIONS-All Questions
  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 in R 5x+4> 2x-1

    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 inequations in Rdot (2x-3)/3g...

    Text Solution

    |

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

    Text Solution

    |

  9. Solve each of the following system of inequations in R (2x-1)/3=0.

    Text Solution

    |

  10. Write the solution set of inequation: (x-2) <0. x belongs to Natural N...

    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 R : If |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: (5x-1)/(x+2)<0.

    Text Solution

    |

  16. Write the solution set of inequation: |1/(x-2)| <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

    |