Step 1 :The maximum weight that a person can bench press is given by the function \(w(t)=240-130 e^{-0.6 t}\), where \(t\) is the time in weeks.
Step 2 :To find the initial maximum weight, we need to evaluate the function at \(t=0\).
Step 3 :Substituting \(t=0\) into the function, we get \(w(0)=240-130 e^{-0.6 \times 0} = 110\) lbs.
Step 4 :To find the maximum weight after 2 weeks, we need to evaluate the function at \(t=2\).
Step 5 :Substituting \(t=2\) into the function, we get \(w(2)=240-130 e^{-0.6 \times 2} = 200.84475245141374\) lbs.
Step 6 :Rounding to the nearest whole number, the maximum weight after 2 weeks is 201 lbs.
Step 7 :Final Answer: The maximum weight that this person can bench press initially is \(\boxed{110}\) lbs. The maximum weight that this person can bench press after 2 weeks of weight lifting is \(\boxed{201}\) lbs.