A proposed embankment fill requires 8000 cubic meters of compacted soil. The void ratio of the compacted fill is specified as 0.7. Four borrow pits are available along with each of the respective void ratios along with the cost per cubic meter for moving the soil to the proposed construction site. Make necessary calculations to select the pit from which the soil should be bought to minimize the cost. Assume Specific gravity of soils to be the same in all pits.
Pit A: e = 0.82, cost ($/m^3) = 8
Pit B: e = 1.1, cost ($/m^3) = 5
Pit C: e = 0.9, cost ($/m^3) = 9
Pit D: e = 0.78, cost ($/m^3) = 12