A patient with gastrointestinal failure is prescribed Total Parenteral Nutrition (TPN) to meet their nutritional needs. The TPN solution contains 50% dextrose, 20% amino acids, and a lipid emulsion. The total volume of TPN ordered is 2000 mL to be infused over 24 hours. To avoid hyperglycemia, the nurse needs to calculate the maximum rate of dextrose that can be administered per hour, which is set at 5 mg/kg/min. The patient's weight is 70 kg. Calculate and fill in the blank below with the rate in mL/hour:
___ mL/hour