ven data for a small bridge project. The markup percentage, including job and office overheads, taxes, onds, and profit, is $22\%.$

$\backslash$table$[[$No$.,$Description,Unit,Quantity,$\backslash$table$[[$Material$],[$Cost$],[($$$)]],\backslash$table$[[$Labor$],[$Cost$/$Unit$],[($$$)]],\backslash$table$[[$Equip$.],[$Cost$],[($$$)]],\backslash$table$[[$Sub$\text{'}$s$],[$Cost$],[($$$)]]],[1,$Excavation, unclassified,CY$,1,000,---,10\mathrm{.}0,12,000,---],[2,$Excavation, structural,CY$,500,---,8\mathrm{.}0,10,000,---],[3,$Backfill,CY$,1,200,---,5\mathrm{.}0,15,000,--],[4,$Concrete footings,CY$,130,150,000,60\mathrm{.}0,60,000,---],[5,$Concrete abutments,CY$,200,136,000,75\mathrm{.}0,80,000,---],[6,$Concrete deck slab,CY$,280,280,000,85\mathrm{.}0,90,000,---],[7,$Brick works,SY$,4,000,90,000,12\mathrm{.}0,14,000,---],[8,$Finishes,L$.$S$.,$Job,$---,---,---,380,000]]$

It is required to:

Calculate the balanced bid for the 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: Finishes & 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 $($unclassified$),$ excavation $($structural$)$ and the brickworks would be $2,000,1,500$ and $2,500,$ sequentially. The variation in items' prices should not exceed $+-30\%$ of the balanced bid prices. Calculate the percentage of extra profit due to this unbalancing.