Final answer:
To administer 5,000U of heparin, you would need to administer 0.5 mL of a 10,000U/mL heparin solution.
Step-by-step explanation:
To calculate the amount of heparin to administer, we can use the formula C1V1 = C2V2, where C1 and C2 represent the concentrations of the original solution and the desired solution, and V1 and V2 represent the volumes of the original solution and the desired solution. In this case, we have a 10,000U/mL heparin solution and we want to administer 5,000U subcutaneously. So, we can set up the equation as (10,000U/mL)(V1 mL) = (5,000U)(1 mL). Solving for V1, we find V1 = 0.5 mL.