Long answer·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A library buys xx mathematics guides and yy science guides. A mathematics guide costs Rs. 300300 and a science guide costs Rs. 200.200. The budget is Rs. 12000,12000, the shelf can hold at most 5050 guides, and at least 1010 mathematics guides must be bought. A mathematics guide has score 66 and a science guide has score 5.5. Formulate the LPP to maximize total score.
Total: 5 marks

(a) Define the decision variables. (1 mark)

(b) Write all constraints. (3 marks)

(c) Write the objective function. (1 mark)

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cbse-math-12.u5.t5-1.laq.004

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