Home
Class 12
MATHS
A manufacturer produces two types of art...

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.

Text Solution

Verified by Experts

The correct Answer is:
`5x+6yle100,x+yle100,xge0,yge0` where x and y are the number of articles A and B respectively.
Doubtnut Promotions Banner Mobile Dark
|

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 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.

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 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.

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 toy company manufacturers two types of dolls, A and B. Market research and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company make profit of Rs. 12 ad Rs. 16 doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated.It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screw A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit ofRs. 7 and screws B at a profit of Rs. 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Determine the maximum profit.

The final product of a firm has a requirement that it must weight at least 150 kg the two raw materials used in the manufacture of this product are A with a cost of Rs 2 per unit and B with a cost of Rs 8 per unit each unit of A weights 5 kg and each unit of B weighs 10 kg at least 14 units of B and not more than 20 units of A must be used what quantity of raw material of each type should be used for each unit of final product so as as to minimize cost ? pose the problem as an LPP and solve it by graphical method

A merchant plans to sell two types of personal computers- a desktop model and a prtable 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 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 if his profit on the desktop model is Rs. 4500 and on portable model is Rs. 5000.

A manufacturer produces two models A and B of a product each piece of model A requires 9 labour hours for fabricating and 1 labour hours for fabricating and 3 labour hour for for finishing for fabnricating and finishing the maximum labour hours available are 180 and 30 respectively the company makes a profit of Rs 8000 on each piece of model A and Rs 12000 on each piece of model B formulate a LPP so as to maxmize his profit per week and solve the problem graphically

A radio manufacturer produces x sets per week at a total cost of Rs. (x^(2)+78x+2500) . . He is a monopolist and the demand function for his product is x=(600-p)/(8) , where the price is Rs. P per set . Show that the maximum net revenue (i.e., profit is obtained when 29 sets are produced per week What is the monopoly price ?

Home
Profile