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If a young man rides his motorcycle at 25 km/hr, he had to spend Rs.2 per km on petrol. If herides at a faster s peed of 40 km/hr, 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 LPP and solve it graphically

Manvendra Singh chahar , 10 Years ago
Grade Upto college level
anser 1 Answers
SHAIK AASIF AHAMED

Last Activity: 10 Years ago

Hello student,
Please find the answer to your question below
From given datayoung man rides his motorcycle at 25 km/hr, he had to spend Rs.2 per km on petrol. If he rides at a faster s peed of 40 km/hr, the petrol cost increases at Rs.5 per km. He has Rs.100 to spend on petrol
By writing the equations we get
2x+5y\leq100
(x/25)+(y/40)\leq1
Z=x+y is to be maximized
We get maximum at x=50/3 and y=40/3 so maximum distance is 30kms

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