A bicycle manufacturer has two retail outlets and in addition sells some bikes to a large chain store. One truck makes all the deliveries and takes 3 hours to make a round trip to the first retail store, 2 hours to the second retail store and 4 hours to the chain store. The cost of the round trip to the first retail store is $100 to the second retail store $75 and to the chain store $200. The profit of each truck load sold through the first retail store is $500, for the second retail store $400 and for chain store $800. Last week the truck was used for 48 hours at a cost of $3000 and the manufacturer made a profit of $12,000. How many trips did the truck made to each store.
The mathematical problem only needs to be set up not solved