2007:

(a) The objective is:

Min N(d) + 2d

s.t d ≥ 0.1

where N(d) = 1/d^2

and (b) the objective is:

Min N(d) + 2d - N(d)

s.t d ≥ 0.1

2009:

Just maximise Romeo's utility st. R+J=96 and find his optimal point.

And maximise Juliet's utility st. R+J=96 and find her optimal point.

And then check the options.

:)