A paper machine makes frequent weight changes. The production management feels that the stock flow can be safely moved at a maximum rate of 50 gpm per minute. Before trying this on the machine they want the tech department to carry out some calculations to determine what a 5 pound per team weight change will look like if they use this stock ramp rate; examine the case where the initial weight is 50 pounds per ream. Basis weight responds to stock flow with a time constant of two minutes and a gain of .02 pounds per ream per gallon per minute. How long after the start of the sequence will it be until the weight is within 0.2 pounds of the 55 pound target. Assume no disturbance variations in consistency or speed.