A printing company prints two types of magazine A and B . The company earn ` 20 and ` 30…
Mathematics · Class 12 · CBSE — Linear Programming
A printing company prints two types of magazine
A and B. The company earn ` 20 and ` 30 on each copy of magazines A and B respectively. The magazines are processed on three machines. Magazine A requires
2 hours on machine I, 4 hours on machine II and
2 hours on machine III. Magazine B requires 3 hours on machine I, 5 hours on machine II and 3 hours on machine III. Machine I, II, III are available for 35, 50 and 70 hours per week respectively. Formulate the LPP to determine weekly production of magazines A and B, so that the total profit is maximum.
A and B. The company earn ` 20 and ` 30 on each copy of magazines A and B respectively. The magazines are processed on three machines. Magazine A requires
2 hours on machine I, 4 hours on machine II and
2 hours on machine III. Magazine B requires 3 hours on machine I, 5 hours on machine II and 3 hours on machine III. Machine I, II, III are available for 35, 50 and 70 hours per week respectively. Formulate the LPP to determine weekly production of magazines A and B, so that the total profit is maximum.
- Maximize Z = 20x + 30y
Subject to, 2x + 3y ≤ 35, 4x + 5y ≤ 50,2x + 3y ≥ 70, x ≥ 0, y ≥ 0 - Maximize Z = 20x + 30y
Subject to, 2x + 3y ≤ 35, 4x + 5y ≤ 50,2x + 3y ≤ 70, x ≤ 0, y ≥ 0 - Maximize Z = 20x + 30y
Subject to, 2x + 3y ≤ 35, 4x + 5y ≤ 50,2x + 3y ≥ 70, x ≤ 0, y ≥ 0 - Maximize Z = 20x + 30y
Subject to, 2x + 3y ≤ 35, 4x + 5y ≤ 50,2x + 3y ≤ 70, x ≥ 0, y ≥ 0
Answer
(D) Maximize Z = 20 x + 30 y Subject to, 2 x + 3 y ≤ 35, 4 x + 5 y ≤ 50,2 x + 3 y ≤ 70, x ≥ 0, y ≥ 0
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