Long answer·Challenge (5/5)·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 workshop makes chairs (x)(x) and tables (y).(y). A chair uses 22 machine hours and a table uses 33 machine hours. At most 120120 machine hours are available. Labour permits at most 5050 total items. Profit is Rs. 4040 per chair and Rs. 5050 per table. Formulate and solve the LPP.
Total: 5 marks

(a) Formulate the LPP. (2 marks)

(b) Find the corner points of the feasible region. (1 mark)

(c) Find the maximum profit and production plan. (2 marks)

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cbse-math-12.u5.t5-5.laq.004

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