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Aman rides his motorcycle at the speed o...

Aman rides his motorcycle at the speed of 50 km/h. He has to spend ₹ 2 per km on petrol. If he rides it at a faster speed of 80 km/h, the petrol cost increases to ₹ 3 per km. He has atmost ₹ 120 to spend on petrol and one hour time. He wishes to find the maximum distance that he can travel. Express this problem as à linear programming problem.

Text Solution

Verified by Experts

The correct Answer is:
Maximise 2 =x+y, subject to constraints are
2x+3y `le` 120, 8x + 5y `le` 400 and x `ge` 0, y `ge` 0.
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