Ace Your Exam: Machine Rate & Cost Calculation Formulas
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Final Exam Cheat Sheet
Machine Rate Problems
Gravel Calculations: 2 mi x 5280 ft/mi x 14 ft wide x (4 in depth/12 in/ft). This answer * 100 lbs/ft^3 = 4928000/2000 = 2464 tons * $56672
Total cost = fixed cost + variable costs + labor costs
Culvert Diameter: A = C(watershed acres/total acres)M(acres)^0.75 = ft^2
D = radical (ft^2/0.005454) = 20.26 = 22"
Fixed costs = depreciation + II&T
Depreciation = P-S/(N x SMH /yr) =
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$550,000-($550,000 x 0.20)/6 x 2000 = $36.67
P = Purchase S = Salvage N = useful life yrs smh = Scheduled hours
AVI = (P-S(N+1)/2N)+S =
($550,000-(((($550,000x0.20))(6+1))/2x6) + ($550,000x0.20)=
$366,666.67
Curves
D = E of 1 degree curve/E or (100*delta)/L
Delta = Find using backsite of PI to PC +/- PI to PT
R = R degree 1(5729.65)/ D
II&T= II&T% x AVI= T=Rtan(delta/2) (T of a one degree curve/D)
((0.14 x $366,666.67)/2000) = $25.67/smh E=R((1/(cos(delta/2)-1)) or T*tan(delta/4)
FC=$36.67/smh + $25.67/smh= $62.34/smh L=(100*delta)/D
Variable Costs= Maintenance & Repair+ Fuel & Lube LC=2RSin(delta/2)
M&R = (M&R% x Depreciation)/UT%= (1.0x$36.67)/0.80= $45.84/PMH LC Bearing =PT to PC
F&L =(Fuel Consumption x Fuel Price)(1+lube%) PC Station= PI-T=55-95.42=4+59^58
F&L=(7.2 gal/PMH x $2.80gal)(1+0.40)=$28.22/PMH
PT Station= PC+L=4+59^58+178.57=6+38^15
Variable Costs= $45.84 + $28.22 = $74.06/PMH
Curve Installation Chord offset
Labor Costs= Wage Rate x (1 + Overhead & Fringe %)
Labor Costs = $17/SMH x (1+0.40)=$23.80/SMH 1st chord= a=(chord distance)^2/2R
Total Cost= Fixed Cost + (Variable Costs x UT%) + Labor Costs 2nd Chord =2a
Total Costs = $62.34 + ($74.06 x 0.80) + $23.80 = $145.39/ SMH
(Calculate Hourly Cost of owning and operating) Tangent Offset Method
Productive Machine Hour 50 Stations Deflection Angle=D/4=28/4= 7 degree Tangent Distance (TD) = sin(2 x deflection angle) X R = sin (2 x 7) x 204.63 = 49.50’
Productivity(tons/smh)= tons/pmh x ut% Tangent Offset (TO) = 1 – cos(2 x deflection angle) X R = 1 – cos(2 x 7) x 204.63 = 6.08’
=40 tons/pmh x 0.80 = $32 tons/smh
Harvestiing Cost = harvesting cost(total cost)/harvesting productivity=
($129.58/smh)(total cost)/($32 tons/smh= $4.05
Total cost/ton=harvesting total cost/ produced from harvest
profit/loss= paid $/ton- cost $/ton
Break Even Point= FC/Services paid(selling price per unit) x Variable cost)
FC=total FC/ # working days
VC=total VC/tons produced
SP=paid services
tons 28 tons/ truckload
PAY little over for incentives to work,