2.5 mL of the solution is needed for this dose.
To calculate this, we can use the following formula:
dose (in mL) = (desired dose in mg) / (concentration in mg/mL)
First, we need to convert the concentration from mcg/mL to mg/mL. Since 1 mg = 1000 mcg, we can convert 50 mcg/mL to mg/mL by dividing by 1000:
50 mcg/mL = 0.050 mg/mL
Now we can use the formula to calculate the dose in mL:
dose (in mL) = (0.75 mg) / (0.050 mg/mL) = 15 mL
However, this is the total volume of solution needed to prepare the dose. Since the patient only needs 125 mcg, which is 0.125 mg, we need to adjust the volume accordingly:
dose (in mL) = (0.125 mg) / (0.050 mg/mL) = 2.5 mL
Therefore, 2.5 mL of the solution is needed for this dose.