Home
Class 12
MATHS
A person requires at least 10,12 and 12 ...

A person requires at least 10,12 and 12 units of chemicals A ,B and C respectively for his garden. A liquid product contains 5,2 and 1 units of A,B and C respectively per jar. A dry product contains 1,2 and 4 units of A,B and C per carton. Formulate the given data in the form of inequations and show graphically the region representing the solution of these inequations.

Text Solution

Verified by Experts

The correct Answer is:
`5x+yge100;2x+2yge12;x+4yge12;xge0,yge0`
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS ( Multiple Correct Answer Type)|5 Videos

  • LINEAR INEQUATIONS

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS ( Integer Answer Type)|5 Videos

  • LINEAR INEQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 6 ( Short Answer Type Question)|56 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

  • LINEAR PROGRAMMING GRAPHICAL METHOD

    CHHAYA PUBLICATION|Exercise Assertion Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

A diet is to contain at least 400 units of carbohydrate, 500 units of fat and 300 units of protein. Foods F_1 contains 10 units of carbohydrate, 20 units of fat and 15 units of protein and food F_2 contains 25 units of carbohydrate,10 units of fat and 20 units of protein. Formulate the given data in the form of inequations and show graphically the region representing the solution of these inequations.

A manufacturer produces two types of articles A and B. The production cost of an article A is Rs.250 and that of B is Rs.300. His total investment does not exceed Rs.20000 and he can store at most 100 articles. Formulate tha given data in the form of inequations and show graphically the region representing the solution of these inequations.

A manufacture produces nuts and bolts for industrial machinery. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts while it takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. If he operates his machines for at most 12 hours then formulate the given data in the form of inequations and show graphically the region representing the solution of these inequations.

A man has to spend Rs.16 per km on petrol if he rides his motor-car at 30 km per hour and the cost on petrol rises to Rs.20 per km if he rides his car at 45 km per hour. He has Rs.200 to spend on petrol and desires to travel maximum distance within 2 hours. Formulate the given data in the form of inequations and show graphically the region representing the solution of the inequations.

In a triangle ABC, coordinates of A are (1,2) and the equations of the medians through B and C are x+y=5 and x=4 respectively. Find the coordinates of B and C.

For the reaction A+BhArr3C at 25^(@)C , a 3 litre volume reaction vessel contains 1,2 and 4 moles of A,B and C respectively at equilibrium, calculate the equilibrium constant K_(c) of the reaction at 25^(@)C .

A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs. 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs. 200 pre bag contains 1.5 units of nutritional element A, 11.25 units of element B, and 3 units of element c. The minimum requirements of nutrients A,B and C are 18 units, and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag.

A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods F_(1) and F_(2) are available. Food F_(1) costs Rs. Rs. 4 per unit food and F_(2) costs Rs. 6 per unit. One unit of food F_(1) contains 3 units of vitamin A and 4 units of minerals. One unit of food F_(2) contains 6 units, of vitamin A and 3 units of minerals, Formulate this as a linear programming problem. Find the minimum cost for diet theat consists of mixture of these two food and also meets the minimal nutritional requirements.

(Diet Problem): A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamins C. Food I contains 2 units/ kg of vitamins A and 1 unit/kg of vitamin C. Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamine C. It costs Rs. 50 per kg to purchase Food I Rs. 70 per kg to purchase Food II. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.