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If a young man rides his motorcycle at 25 km/hour, he had to spend Rs 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs 5 per km. He has Rs 100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as an LPP and solve it graphically.

If a young man rides his motorcycle at 25 km/hour, he had to spend Rs 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs 5 per km. He has Rs 100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as an LPP and solve it graphically.

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1 Answers

naimazack
8 Points
10 years ago
Solution : Let the distance covered at the speed 25 km/hour = x km And the distance covered at the speed 40 km/ hour = y km Maximum distance z = x + y Subject to constraints 2x + 5y =100 and x/25+y/40<1 now its easy to draw the graph! :)

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