Home
Class 12
MATHS
A tyre manufactureing company produces t...

A tyre manufactureing company produces tyres of cars and buses. Three machines A, B, C are to be used for the production of these typres. Machines A and C are available for operation atmost 11 hours, whereas B must be operated for atleast 6 hours a day. the time required for construction of one typre the three machines given in the following table.

Comapy sells all the tyres and gets a profit of Rs. 100 Rs 150 on a tyre of a car and bus respectively. The company wants to know how many numbers of each item to be produced to maximise the profit.
To formulate a linear programmining problem,
(i) Write the objective function.
(ii) Write all constraints.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise NECERT TEXT BOOK EXERCISE 12.1|10 Videos

  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise NECERT TEXT BOOK EXERCISE 12.2|10 Videos

  • LINEAR INEQUALITIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|38 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

Similar Questions

Explore conceptually related problems

A company manufactures two proudcts. A and B on which the profits erarned per unit areRs. 30 and Rs. 40 respectively. Each product is procced on two machines M_(1) and M_(2) . One unit of product A requires on hour of processing time on M_(1) and 2 hours on M_(2) While one unit of product B requires one hour each on M_(1) and M_(2) . Machines M_(1) and M_(2) are availabe atmost 10 hours and 12 hours respectivrely during working day. The company wants to know how many units of proudcts A and B should be produced to maximise the profit. to formulate a linearprogramming problem (i) Write the objective function. (ii) Write all contraints.

A manufacturer has 3 machines I, II and III installed in his factory. Machines I and II are capable of being operated for utmost 12 hours whereas machine III must be operated atleast for 5 hours a day. He produces only two items A and B each requiring the use of three machines. The number of hours required for producing 1 unit of each of the items A and B on the three machines are given below. He makes a profit of Rs 7600 on item A and Rs 400 on item B. Assume that he can sell all that he produces. (i) Formulate this as a linear programming problem. (ii) Solve the L.P.P by corner point method.

Consider the binary operation * defined on the set A= {a,b,c,d} by the following table.

Condier the following problem. A manufacture produced tables and chairs. It takes 3 hours of work on machine A mind 1 hour of work on machine B to produce one table and 2 hours of work on machine A and 3 hours on machine B to produce 1 chair . He erars a profit fo Rs. 50 per table and Rs 40 per chair. Hoperates the machines a and B for atmost 12 hours hours respectively. how many tables and chairs should be produce each day to maximise his profit ? (i) Write the objective function. (ii) Write the constrains.

Why machine parts are not jammed in the summer?

What is the output Y in the following circuit , When all the three inputs A,B, and C are first 0 and then 1?

A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the time in minutes, required for each toy on the machines is given below: Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is Rs 7.50 and that on each toy of type B is Rs 5, show that 15 toys of type A and 30 of type B should be manufactured in a day to get maximum profit.

Fill in the following table so that the binary operation ** on A={a,b,c} is commutative.

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on maching A and 1 hour on machine B to produce a package of botls. He earns a profit of Rs. 17.50 per pack age and nuts and Rs. 7.00 per pakage on bolts. How many package of each should be produced each day as to maximise his profit, if he operates his machine for at the most 12 hours a day ?