A Railroad Company has to transport raw materials from Industry X to destination Y. The industry X can have a maximum of 75 cars in its loading track.
The Railroad has 2 types of cars. Type A car requires $120 worth of fuel per trip between Industry X and destination Y, whereas B requires $210 per trip. The maximum weight a Type A car can handle is 130 Tons. Type B car can handle 200 Tons. The locomotive can handle 14000 Tons for the entire train. Length of Type A car is 70 foot and Length of Type B Car is 90. Max length the Train can handle is 7000 ft.
How many cars of each type will the Customer order from Industry to transport maximum Tons with least Fuel spent

• let no. of car A is x, and car B is y. then we have,
  70x+90y=7000 and 130x+200y=14000
  solving them we have
  x=61, y=30
• 11 years agoHelpfull: Yes(1) No(3)
• car A Car B
  70ft 90ft
  230tons 200tons
  130$ 210$
  now looking on the limiting values length mustnot be greater than 7000ft so at max we can use 10 car of A type and 7 car of B type which absolutely suits the ton handling capacity which is 14000tons..
  so 75 cars are devided into 10:7
  So,
  car A=10/17 X 75=44
  car B=7/17 X 75=30
• 11 years agoHelpfull: Yes(0) No(4)