Having a known increment for the
Yi means that knowing
Y1 you can find all other
Yi, and subsequently
Xi (from the circle equation
(Sum Xi)^2 + Yi^2/4 =
R^2). And from these, the covered area.
This establishes a relation between Y1 and the objective function. First
plot it so see how the maxima(s) look like (piecewise smooth but
discontinuous). Then... call the team again.
For ease of work in Excel, you can proceed with a fixed number of
rectangles and set a zero
Xi for those that get out of the