Join Sarthaks eConnect Today - Largest Online Education Community!
+1 vote
asked in Mathematics by (5.8k points)

A library has to accommodate two different types of books on a shelf. The books are 6 cm and 4 cm thick and weight 1 kg and 1 1/2 kg each, respectively. The shelf is 96 cm long and atmost can support a weight of 21 kg. How should the shelf be filled with the books of two types in order to include the greatest number of books ? Make it as an LPP and solve it graphically.

1 Answer

+2 votes
answered by (11.6k points)
selected by
Best answer

Let two types of books be x and y, respectively. The required LPP is maximise

Z = x+y

Subject to constraints

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon