Select the pit from which the soil should be bought to minimize the cost.

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Chapter 5, Problem 5.9P

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Select the pit from which the soil should be bought to minimize the cost.

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A proposed earth embankment requires 50,000 cubic meters of soil. The soil will be compacted to a void ratio of 0.75 when it is placed in the embankment. There are four available borrow pits, designated A, B, C, and D. The void ratio of the soil in each pit and the cost per cubic meter for moving the soil to the proposed construction site are shown as follows: Determine which borrow pit is the most economical.

An earth dam requires 1 million cu.m. of soil compacted to a void ratio of 0.80. In the vicinity of the proposed dam, three borrow pits were identified as having suitable materials. The cost of purchasing the soil and the cost of excavation are the same for each borrow pit. The only cost difference is transportation cost. The table below provides the void ratio and the transportation cost for each borrow pit. PLEASE COMPLETE SOLUTION 1. Compute the volume of soil if taken from borrow pit C.2. Compute the transportation cost of the soil if taken from borrow pit B.3. Which borrow pit would be the most economical?

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