ASSIGNMENT ONE

A work item in a Bill of Quantities is in$-$situ blinding concrete C $15(1$:$3$:$6$ with $20$ mm aggregate$)$ in structural foundations. The volume of concrete to be provided is $200m^3$ and the method of construction involves site machine mixing. Assume $8$ hours working day for plant and gang and $33\%$ for wastage and shrinkage of materials. Assume $25\%$ profit and overhead. The market prices for the materials, labour and plant as well as the plant and labour outputs are as follows:

$\backslash$table$[[$Output: Site machine mixing,$=,0\mathrm{.}25$m$^(3)/$batch$],[$Mixing cycle of mixer,$=,5$ minutes$],[$Operating efficiency of mixer,$=,75\%],[$All$-$in$-$plant rate for concrete mixer,,$=,],[$Poker vibrator all$-$in$-$rate,$=,$GH $300],[$One $(1)$ Gang,,$\backslash$table$[[$two mason $+$ one$],[$operator $+10$ labourers$]]],[$Output for unloading and stacking of cement $($bags$/,=,100],[$Cost of $1$m$^(3)$ of sand $($ex$-$site$),$ GHC$,=,100\mathrm{.}00],[$Cost of $1$m$^(3)$ of aggregate $($ex$-$site$),$ GHC$,=,170\mathrm{.}00],[$Cost of $1$ bag of cement $($ex$-$site$),$ GHC$,=,110],[1$m$^(3)$ of cement,,$29$ bags$],[$All$-$in$-$rate wage of a tradesmen per day, GHC$,=,200],[$All$-$in$-$rate wage of a labourer per day, GH$\backslash$zeta $,=,150]]$

Calculate the following:

$($i$)$ Total material cost for $200m^3$ concrete

$($ii$)$ Number of plant days

$($iii$)$ Concrete production per day

$($iv$)$ Number of bags of cement required for concrete production in a day,

$($v$)$ Plant cost for the $200m^3$ concrete

$($vi$)$ Total labour cost for $200m^3$ concrete

$($vii$)$ Total cost for $200m^3$ concrete including profit and overhead

$($viii$)$ Unit Rate $($unit cost per $m^3)$