A dealer wishes to purchase table fans and ceiling fans. He has ` 57, 600 to invest, and…
Mathematics · Class 12 · CBSE — Linear Programming
A dealer wishes to purchase table fans and ceiling fans. He has ` 57, 600 to invest, and has space to store 40 items. A table fan costs ` 750 and ceiling fan costs ` 900. He can make profits of ` 70 and ` 90 by selling a table fan and ceiling fan respectively. Assuming that he can sell all the fans that he can buy, formulate this problem as LPP, to maximize the profit.
- Maximize Z = 70x + 90y
Subject to x + y ≤ 40, 750x + 900y ≤ 57600x ≤ 0, y ≥ 0 - Maximize Z = 70x + 90y
Subject to x + y ≤ 40, 750x + 900y ≤ 57600x ≥ 0, y ≤ 0 - Maximize Z = 70x + 90y
Subject to x + y ≤ 40, 750x + 900y ≤ 57600x ≥ 0, y ≥ 0 - Maximize Z = 70x + 90y
Subject to x + y ≤ 40, 750x + 900y ≤ 57600x ≤ 0, y ≤ 0
Answer
(C) Maximize Z = 70 x + 90 y Subject to x + y ≤ 40, 750 x + 900 y ≤ 57600 x ≥ 0, y ≥ 0
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