Question

if young man rides s motorcycle at 25 km/hr,he has to spend rs.2 per/kmon petrol. if he rides at faster speed of 40km/hr.the petrol cost increases at rs.5per km.he has rs. 100to spend on petrol and wishes to find what is the maximum distance he can travel witn one hour, experts answer me fast as i have exam tomorrow

Answer 1

Money spent at speed 25 km/hr = 50x 
And Money spent at speed 40 km/hr = 200y

Maximum distance : 
Z = 25x + 40y        ….(1)

subject to the constraints 
x + y ≤ 1               ….(2) 
50x + 200y ≤ 100   ….(3) 
x , y ≥ 0                ….(4) 

Graph the inequalities (2) to (4). The feasible region (shaded) is shown as below: 

Corner PointZ = 25x + 40yA (0, 1/2)20B (2/3, 1/3)30MaximumC(1, 0)25

Thus, the maximum distance he can travel is30 km.

Answer 2

$\textbf{Answer is in Attachment !}$