Class 12 CBSE Applied Maths Linear Programming Exercise 15.1

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Exercise 15.2 Exercise 15.3 Case Study

Q1. Two tailors, A and B, earn Rs 300 and Rs 400 per day respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce atleast 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP.

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Q2. A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is atmost 24. It takes one hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is Rs 100 and that on a bracelet is Rs 300, formulate an L.P.P. for finding how many of each should be produced daily to maximize the profit? It being given that atleast one of each must be produced.

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Q3. A furniture dealer deals in only two items—tables and chairs. He has Rs 20000 to invest and a space to store atmost 80 pieces. A table costs him Rs 800 and a chair costs him Rs 200. He can sell a table for Rs 950 and a chair for Rs 280. Assume that he can sell all the items that he buys. Formulate this problem as an L.PP. so that he can maximize his profit.

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