NCERT Solutions for Class 12 Maths Exercise 7.7

Class XII Mathematics Ex. 7.7 solution to download in PDF as well as view online. Get the NCERT Solutions Apps based on Latest NCERT Solutions. Download revision Books for more practice, these are just like NCERT Exemplar books for CBSE Board Examinations. UP Board solutions for class 12 Math are same as CBSE Board solutions. Ask questions and reply to questions already asked by other users through Discussion Forum.

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7 Integrals in English & Hindi Medium is given below to free download in PDF for new academic session 2024-25. Download NCERT Books for new session and offline apps based on latest CBSE Syllabus.

1. 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?
2. A man has ₹1500 to purchase two types of shares of two different companies S1 and S2. Market price of one share of S1is ₹180 and S2 is ₹120. He wishes to purchase a maximum of ten shares only. If one share of type S1 gives a yield of ₹11 and of type S2 yields ₹8 then how much shares of each type must be purchased to get maximum profit? And what will be the maximum profit?

• A dealer wishes to purchase a number of fans and sewing machines. He has only ₹5760 to invest and has space for atmost 20 items. A fan and sewing machine cost ₹360 and ₹240 respectively. He can sell a fan at a profit of ₹22 and sewing machine at a profit of ₹18. Assuming that he can sell whatever he buys, how should he invest his money to maximise his profit?
• There are two types of fertilisers A and B. A consists of 10% nitrogen and 6% phosphoric acid and B consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid for his crop. If A costs ₹6 per kg and B costs ₹5 per kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at minimum cost. What is the minimum cost? What values are being promoted here?

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