QUESTION THREE

a$)$ In a project for which a section of the mass haul diagram is shown in Figure $15\mathrm{.}36,$ the free havl distance is specified as $100$ m $.$ Calculate the cost of earth$-$moving in the section between chainages $100$ m and $400$ m if the charge for moving the material within the free haul distance is $A$ per $m^3$ and that for moving any overhaul is $B$ per m$3$ m$.$

The $x-$axis should be taken as the balancing line and the areas between the curve and the balancing line in above were measured with a digital planimeter and found to be as follows

area of $(J+K+L+M)=396,000m3m$

area $J=181,300m3m$

b$)$ In a project for which a section of the mass haul diagram is shown in Figure $15\mathrm{.}38,$ the free haul distance is specified as $200$ m $.$ The earth$-$moving charges are as follows

cost of free haul volume $=A$ per m $3$

cost of overhaul volume $=B$ per m$3$

cost of borrowing $=fE$ per $m^3$

Calculate the costs of each of the following alternatives