A brick manufacturer has two depots A and B , with stocks of 30000 and 20000 bricks…
Mathematics · Class 12 · CBSE — Linear Programming
A brick manufacturer has two depots A and B, with stocks of 30000 and 20000 bricks respectively. He receives orders from three builders P, Q and R for 15000, 20000 and 15000 bricks respectively. The cost (in `) of transporting 1000 bricks to the builders from the depots are as given in the table :
The manufacturer wishes to find how to fulfil the order so that transportation cost is minimum. Formulate the LPP.
The manufacturer wishes to find how to fulfil the order so that transportation cost is minimum. Formulate the LPP.
- Minimize Z = 40x – 20y
Subject to, x + y ≥ 15, x + y ≤ 30, x ≥ 15, y ≤ 20, x ≥ 0, y ≥ 0 - Minimize Z = 40x – 20y
Subject to, x + y ≥ 15, x + y ≤ 30, x ≤ 15, y ≥ 20, x ≥ 0, y ≥ 0 - Minimize Z = 40x – 20y
Subject to, x + y ≥ 15, x + y ≤ 30, x ≤ 15, y ≤ 20, x ≥ 0, y ≥ 0 - Minimize Z = 40x – 20y
Subject to, x + y ≥ 15, x + y ≤ 30, x ≥ 15, y ≥ 20, x ≥ 0, y ≥ 0
Answer
(C) Minimize Z = 40 x – 20 y Subject to, x + y ≥ 15, x + y ≤ 30, x ≤ 15, y ≤ 20, x ≥ 0, y ≥ 0
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