The following function models the maximum weight, $w$, that a person can bench press in pounds at the end of $t$ weeks of working out. Complete parts (a) through (c) below.
$$w(t)=240-130e^{-0.6t}$$
(a) What is the maximum weight that this person can bench press initially?
110 lbs
(Round to the nearest whole number as needed.)
(b) What is the maximum weight that this person can bench press after 2 weeks of weight lifting?
Ibs
(Round to the nearest whole number as needed.)

Step 1 ：The maximum weight that a person can bench press is given by the function $w(t)=240-130e^{-0.6t}$, 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 $w(0)=240-130e^{-0.6\times 0}=110$ 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 $w(2)=240-130e^{-0.6\times 2}=200.84475245141374$ 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 $\boxed{{\displaystyle 110}}$ lbs. The maximum weight that this person can bench press after 2 weeks of weight lifting is $\boxed{{\displaystyle 201}}$ lbs.