If a motorcyclist rides at a speed of 50 km/hr, he has to spend ` 2 per km on petrol. If…
Mathematics · Class 12 · CBSE — Linear Programming
If a motorcyclist rides at a speed of 50 km/hr, he has to spend ` 2 per km on petrol. If he rides at a faster speed of 70 km/hr, the petrol cost increases to
` 2.5 per km. He has ` 500 to spend for petrol and wishes to travel maximum distance within an hour. Formulate as LPP.
` 2.5 per km. He has ` 500 to spend for petrol and wishes to travel maximum distance within an hour. Formulate as LPP.
- Maximize Z = 50x + 70y
Subject to, x + y ≤ 1, 100x + 175y ≤ 500,x ≤ 0, y ≥ 0 - Maximize Z = 50x + 70y
Subject to, x + y ≤ 1, 100x + 175y ≤ 500,x ≥ 0, y ≥ 0 - Maximize Z = 50x + 70y
Subject to, x + y ≤ 1, 100x + 175y ≤ 500,x ≥ 0, y ≤ 0 - Maximize Z = 50x + 70y
Subject to, x + y ≤ 1, 100x + 175y ≤ 500,x ≤ 0, y ≤ 0
Answer
(B) Maximize Z = 50 x + 70 y Subject to, x + y ≤ 1, 100 x + 175 y ≤ 500, x ≥ 0, y ≥ 0
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