USP require the units be specific per unit of fluid. Many years ago, prefilled syringes & vials were labeled just as you specify & there were a number of cases of massive overdose (ie...5000 units/ml was misinterpreted as 5000 units per vial...10 ml vial was 50,000 units - not 5000 units). So...labeling was changed. But...I'm thinking this is an assignment (???? so very much like a similar post 😉....
If the labeling is as you state on the paper you were given: U5000 (which is ABSOLUTELY HORRIBLE, BTW!!!!!!) ask for clarification. Thats what pharmacists do - clarify ambiguous rxs.
For all you folks just starting...IMO...begin as you mean to go on...do NOT use U for units (for heparin, insulin or anything else) since it can be misconstrued as a number, even if it is used before the number. Spell out the word "units" - over the course of your cinical life, it won't make any difference in the amount of time, ink or muscle you use - but it may prevent a tremendous drug error (sorry for the rant!).