2 1,(ⅰ)AB = x,AC=y,AD= 1,∠BAC= 120,
Y=kx, x, y < 5, k= 1, y=x=2 (or √3), let BC=a, BD=b, CD=c,
Then a=b+c, cos 120 = (x? +y? -a? )/(2xy)=- 1/2,
arccos∠BAD+arccos∠CAD = 120,
cos∠BAD=(x? + 1? -B? )/(2x),
arcos∠CAD=(y? + 1? -c? )/(2y).
(ii) When y = x = ∠ 3, ∠ ACB = ∠ ABC = ∠ DAB = 30, BD=AD=, the total cost is the least.
△ABD area =( 1/4)√3, △ACD area =( 1/2)√3.
Answer these first.