JAC 12th Maths Chapter 12 Important Questions

Name of Organisation	Jharkhand Academic Council, Ranchi
Category	Important Questions
Article	JAC 12th maths Important Questions 2023
Class	12th
Stream	Science
Question Type	Subjective
Exam Name	JAC inter Board Exam
Exam Date 12th	14th March, 2023
Subject	Maths
Chapter	12. Linear Programming
Official Website	https://jac.jharkhand.gov.in/jac/
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JAC 12th Maths Chapter 12. Linear Programming Important Questions 2023

Q1. Solve the following LPP graphically maximize
Z=2x+y
x+3y≥6
x-3y≤3
3x+4y≤24
x≥0
y≥0
Q2. Solve the following LPP graphically:
Maximize z=2x+7y
x+y≤4
3x+8y≤24
10x+7y≤35
x≥0, y≥0

Q3. Solve the following LPP graphically:
Maximize Z=5x+3y
Subject to 3x+5y≤15
5x+2y≤10 and x≥0, y≥0
Q4. Solve the following LPP graphically:
Minimize Z=5x+10y,
x+y≥60
x+2y≤120
x-y≤0 and x,y≥0

Q5. Solve the following LPP graphically:
Minimize Z=20x+50y
Subject to constraints
x+2≥10
3x+4y≤24
x≥0, y≥0
Q6. Solve the following LPP graphically:
Maximize Z=3x+2y
Subject to constraints
x+y≤4
x-y≤2
x≥0, y≥0

Q7. Solve the following LPP graphically:
Maximize ? = 4? + ?
Subject to constraints:
? + ? ≤ 50
3? + ? ≤ 90
and ?, ? ≥ 0.
Q8. Solve the following LPP graphically:
Minimize ? = 18? + 10?
Subject to constraints:
4? + ? ≥ 20
2? + 3? ≥ 30
?, ? ≥ 0.

Q9. Solve the following LPP graphically:
Maximize ? = 50? + 15?
Subject to constraints:
5? + ? ≤ 100
? + ? ≤ 60
?, ? ≥ 0.

Q10. Solve the following LPP graphically:
Minimize ? = 3? + 9?
Subject to constraints:
? + 3? ≤ 60
? + ? ≥ 10
? ≤ ?
?, ? ≥ 0.

Q11. Solve the following L PP graphically :
Maximize : z = 45x + 80y
Subject to 5x +20y ≤ 400
10x + 15y ≤ 450
x, y ≥ = 0

Q12. Solve the following LPP graphically:
Minimize Z=-3x+3y
x+2y≤8, 3x+2y≤12 and x≥0, y≥0

Q13. Solve the following LPP graphically:
Minimize Z=x+2y
Subject to 2x+y≥3
x+2y≥60
and x≥0, y≥0
Q14. Maximize Z=20x+10y subject to
1.5+3y≤42
3x+y≤24
and x≥0, y≥0

5 Marks कैसे प्राप्त करें?

Note : इस chapter से जितने भी questions है NCERT book से आप कर लीजिए अगर उन्हें आप कर लेते हैं तो आपका इस चैप्टर से 5 marks कहीं नहीं जाने वाला है सभी विद्यार्थी इसका उत्तर अपने से करने का प्रयास करें अगर किन्ही को कोई दिक्कत होती है तो वाह नीचे कमेंट करें।

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