If a motorcyclist rides at a speed of 50 km/hr, he has to spend Rs. 2 per km on petrol. If he rides at a faster speed of 70 km/hr, the petrol cost increases to Rs. 2.5 per km. He has Rs. 500 To spend on petrol and wishes to travel maximum distance within an hour. Formulate as LPP.

Options

A. Maximize `z=x+y` subject to `(x)/(50)+(y)/(70)le1,2x+2.5yge500,xge0,yge0`
B. Maximize `z=x+y` subject to `(x)/(50)+(y)/(70)le1,2x+2.5yle500,xge0,yge0`
C. Maximize `z=x+y` subject to `(x)/(50)+(y)/(70)ge1,2x+2.5yle500,xge0,yge0`
D. Maximize `z=x+y` subject to `(x)/(50)+(y)/(70)ge1,2x+2.5yge500,xge0,yge0`

Answer

B