a$.$ Iteratively calculate the aircraft$$s initial weight W$0.$ Use a starting guess of $10,000$ lbs$.$ Using a

computer is advised; no need to show all your code.

b$.$ Numerically calculate the performance partial derivatives for payload weight and range, i$.$e$.$

$0$

$$

and $0$

$.($Hint: This will require more iterative calculations.$)$

c$.$ Use the performance partial derivatives from part $($b$)$ to solve the following: To increase the

aircraft$$s range by $100$ miles without changing the takeoff weight, by how much would you need

to reduce the payload weight