Home
Class 12
MATHS
A merchant plans to sell two types of...

A merchant plans to sell two types of personal computers - a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the nu

Text Solution

Verified by Experts

The correct Answer is:
200 units of desktop model and 50 units of portable model; Max.Profit = ₹ 11,50, 000.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 C (MULTIPLE CHOICE QUESTIONS)|12 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12 (C ) (B.Fill in the Blanks)|5 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE 12(b) (Long Answer Tyoe Questions(I)) (LATQ)|25 Videos
  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos
  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos

Similar Questions

Explore conceptually related problems

A merchant plans to sell two types of personal computers — a desktop model and a portable model that will cost Rs. 25,000 and Rs. 40,000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs. 70 lakhs and his profit on the desktop model is Rs. 4,500 and on the portable model is Rs. 5,000. Make an L.P.P. and solve it graphically.

A faniture dealer deals in only two itmes - tables and chairs. He has 'Rs. 50000 invest and has storage place of at most 60 pieces. A table costs Rs. 2500 and chair Rs. 500. He estimates that from the sale of one table, he can make a perfect Rs. 250 and that from the sale of one chair a profit of Rs. 75. How many table and chair he should buy from the available money so as to maximise his total profit assuming that he can sell all the items which he buys.

A consumer has total money income of Rs.250 to be spent on two goods X and Y with prices of Rs.25 and Rs.10 per unit respectively.On the basis of the given information , answer the following questions : (a) Given the equation of the budget line for the consumer. (b)What is the value of slope of the budget line ? (c )How many units can the consumer buy if he is to spend all his money income on good X ? (d)How does the budget line change if there is a fall in price of good Y ?

Rajesh want to choose a best plan for his mobile phone. He has 2 options available with him. The first plan of company A, cost Rs. 20 per month, with costing an additional 25 paise per minute. The second plan of company B charges Rs. 40 per month, but calls cost 8 paise per minute. These two situations are shown below in the form of linear equations. y = 0.25 x + 20 and y = 0.08 x + 40 Where, x is the minutes used any is the total cost per month Which type of lies is represented by the system of linear equations x + 2y - 4 = 0, 2x + 4y - 12 = 0 ?

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following: Total revenue of market A

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following: Total revenue of market B

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following: Cost incurred in market A

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following: Profit in market A and B respectively are

A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following: Gross profit in both market

MODERN PUBLICATION-LINEAR PROGRAMMING -EXERCISE 12 C (Long Answer Type Questions )
  1. If a young man drives his car at 40 km per hour, he has to spend ₹ 5 p...

    Text Solution

    |

  2. A dealer deals in two items A and B He has Rs. 15000 to invest and a s...

    Text Solution

    |

  3. A manufacture produceds two types of steel trunks. He has two machines...

    Text Solution

    |

  4. A factory manufatures two types pf screws A and B, Each type of screw ...

    Text Solution

    |

  5. A dealer wishes to purchase a number of fans and sewing machines. He h...

    Text Solution

    |

  6. (i) A manufacturer produces nuts and bolts for industrial machinery.It...

    Text Solution

    |

  7. A shopkeeper manufactures gold rings and chains.The combined number of...

    Text Solution

    |

  8. A man has ₹1,500 for the purchase of Rice and Wheat.A bag of rice and ...

    Text Solution

    |

  9. A cottage industry manufactures pedestal lamps and wooden shades, e...

    Text Solution

    |

  10. A company manufactures two types of novelty souvenirs made of plywo...

    Text Solution

    |

  11. A merchant plans to sell two types of personal computers - a deskto...

    Text Solution

    |

  12. (Manufacturing problem) A manufacturing company makes two models A ...

    Text Solution

    |

  13. A manufacturing company makes two types of teaching aids A and B . Eac...

    Text Solution

    |

  14. Two tailors A and B are paid ₹ 225 and ₹ 300 per day respectively.A ca...

    Text Solution

    |

  15. (Allocation problem) A cooperative society of farmers has 50 hectar...

    Text Solution

    |

  16. A diet for a sick person must contain at least 4000 units of vitamins,...

    Text Solution

    |

  17. Food X contains 6 units of vitamin A per gm and 7 units of vitamin B p...

    Text Solution

    |

  18. A diet is to contain at least 80 units of Vitamin A and 100 units o...

    Text Solution

    |

  19. (Diet problem): A dietician wishes to mix two types of foods in suc...

    Text Solution

    |

  20. There are two factories located one at place P and the other at place ...

    Text Solution

    |