A concrete$-$lined canal $)=(0\mathrm{.}014$ having one side vertical and other discharge of $10\frac{m^3}{s}$ with velocity of $0\mathrm{.}715\frac{m}{s}.$ Determine the following;

a$.$ Dimensions of the canal $($bottom width, normal depth and free$-$surface width$)$

b$.$ Bed slope

c$.$ Total construction cost per unit length of the canal if the cost of exavation is Php $\frac{120}{m^3}$ and the cost of lining is Php $\frac{360}{m^2}$