NCERT Solutions for Class 12 Maths Exercise 7.6

Class XII Mathematics Ex. 7.6 solutions are free to download in PDF and view online without downloading. All the study material are updated for new academic session 2024-25. Download UP Board Solutions and NCERT Solutions Apps based on latest CBSE Syllabus. Ask your doubts in discussion forum and share your knowledge with other users. These solutions of class 12 Maths are useful for UP board students also. UP Board Intermediate Maths solutions are same as CBSE board solutions.

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 Integrals in English & Hindi Medium is given below updated for new academic session. Download NCERT Books and offline apps based on latest CBSE Syllabus. If you have query related to NIOS board, please post in discussion forum to get proper answers.

1. A producer has 20 and 10 units of labour and capital respectively which he can use to produce two kinds of goods X and Y. To produce one unit of X, 2 units of capital and 1 unit of labour is required. To produce one unit of Y, 3 units of labour and 1 unit of capital is required. If X and Y are priced at ₹ 80 and ₹100 per unit respectively, how should the producer use his resources to maximise the total revenue?
2. A company produces two types of belts A and B. Profits on these belts are ₹ 2 and ₹1.50 per belt respectively. A belt of type A requires twice as much time as belt of type B. The company can produce at most 1000 belts of type B per day. Material for 800 belts per day is available. At most 400 buckles for belts of type A and 700 for type B are available per day. How much belts of each type should the company produce so as to maximize the profit?

• If a young man rides his motorcycle at 25 km/h, he has to spend ₹2 per km on petrol. If he rides at a faster speed of 40 km/h, the petrol cost increase to ₹5 per km. He has ₹100 to spend on petrol and wishes to cover the maximum distance within one hour. Express this as L.P.P. and then solve it graphically.
• A company manufactures two types of lamps say A and B. Both lamps go through a cutter and then a finisher. Lamp A requires 2 hours of the cutter’s time and 1 hours of the finisher’s time. Lamp B requires 1 hour of cutter’s and 2 hours of finisher’s time. The cutter has 100 hours and finisher has 80 hours of time available each month. Profit on one lamp A is ₹7.00 and on one lamp B is ₹13.00. Assuming that he can sell all that he produces, how many of each type of lamps should be manufactured to obtain maximum profit?

Ask your doubts related to NIOS online admission or CBSE Board and share your knowledge with your friends and other users through Discussion Forum. Download CBSE NCERT Books and Apps for offline use.