# NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6 Integrals in English Medium as well as हिंदी मीडियम free to download in PDF or view online without downloading updated for new academic session 2020-2021.

Download NCERT Solutions Apps based on latest CBSE Syllabus for 2020-21. Ask your doubts in discussion forum and share your knowledge with other users.## NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.6

Class: | 12 |

Subject: | Maths |

Chapter 7: | Exercise 7.6 |

### 12th Maths Exercise 7.6 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 2020-21. 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.

### Exercise 7.6 Solutions in Hindi & English

#### Questions from Board Papers

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?

##### Important Questions for Practice

1. 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.

2. 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?

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