Final answer:
To determine the rate at which the pump should be set, you need to convert the patient's weight from pounds to kilograms, calculate the total amount of dobutamine in the solution, and then divide that amount by the weight to find the rate. The pump should be set to deliver approximately 8547 mcg/min.
Step-by-step explanation:
To calculate the rate at which the pump should be set, we need to convert the weight of the patient from pounds to kilograms. There are 2.205 pounds in a kilogram, so the patient's weight is 58.5 kilograms.
Next, we need to calculate the total amount of dobutamine in the 500 ml solution. 0.5 g is equal to 500 mg, and 1 mg is equal to 1000 mcg. So, there are 500,000 mcg of dobutamine in the solution.
Finally, we divide the total amount of dobutamine (500,000 mcg) by the patient's weight (58.5 kg) to find the rate at which the pump should be set. The pump should be set to deliver approximately 8547 mcg/min.