QUESTION: $01$

$\backslash$table$[[$No$.,$Work Item Description,Unit,Quantity,$\backslash$table$[[$Unit Price$],[($$$)]],\backslash$table$[[$Total Price$],[($$$)]]],[1,$Excavation, soft soil,CY$,5,000,14\mathrm{.}0,],[2,$Excavation, rock soil,CY$,8,000,28\mathrm{.}0,],[3,6^{\text{'}\text{'}}$ pipes,LF$,1,200,15\mathrm{.}0,],[4,$Crushed Stone Fill,CY$,2,000,23\mathrm{.}0,],[5,$Fill Material,CY$,18,000,19\mathrm{.}0,],[6,$Top Soil $4"$ Deep,SY$,16,400,18\mathrm{.}0,],[,,,,$Total Price,$]]$

You are given a balanced bid for a small bridge project.

Unbalance the bid to obtain the maximum allowed greater early income $($Front$-$End$-$

Loading$).$ The variation in items' prices should not exceed $+-20\%$ of the balanced bid prices. $($Note: End$-$Item: Top Soil $4"$ Deep & Front$-$Items: $2-$Excavation Types$)$

Unbalance the bid to maximize the increase of the profit, if you knew that the actual quantities of the excavation $($soft soil$),$ excavation $($rock soil$),$ and the fill material would be $25,000,15,000$ and $3,000,$ sequentially. The variation in items' prices should not exceed $=30\%$ of the balanced bid prices. Calculate the percentage of extra profits due to this unbalancing.