Two tailors P and Q earn ` 350 and ` 450 per day respectively. Tailor P can stitch 6…
Mathematics · Class 12 · CBSE — Linear Programming
Two tailors P and Q earn ` 350 and ` 450 per day respectively. Tailor P can stitch 6 shirts and 3 trousers while tailor Q can stitch 7 shirts and 3 trousers per day. How many days should each of them work, if it is desired to produce at least 51 shirts and 24 trousers at a minimum labour cost?
- Minimize Z = 350x + 450y
Subject to, 6x + 7y ≥ 51, 3x +3y ≥ 24, x ≤ 0, y ≥ 0 - Minimize Z = 350x + 450y
Subject to, 6x + 7y ≥ 51, 3x +3y ≥ 24, x ≥ 0, y ≥ 0 - Minimize Z = 350x + 450y
Subject to, 6x + 7y ≥ 51, 3x +3y ≥ 24, x ≥ 0, y ≤ 0 - Minimize Z = 350x + 450y
Subject to, 6x + 7y ≥ 51, 3x +3y ≥ 24, x ≤ 0, y ≤ 0
Answer
(B) Minimize Z = 350 x + 450 y Subject to, 6 x + 7 y ≥ 51, 3 x +3 y ≥ 24, x ≥ 0, y ≥ 0
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