• anonymous
You would like to pour a cement driveway. You want the cement to be 4 inches deep. You measure your driveway and find out it is 30 feet by 40 feet. You call the cement company and find that your cost for cement is $106 per cubic yard with a $25 fee for each truck load for delivery. Each truck can haul a maximum of 12 cubic yards. What is your cost going to be to pour the cement? (You can assume that they can supply any portion of a yard of cement so you don't have to round them.)
  • Stacey Warren - Expert
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  • schrodinger
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  • anonymous
Cost = Price/yd^3 * yd^3 purchased + Truck Fee * Truck loads Let v = volumn of cement required in yd^3 \[v=\frac{(30*40*1/3)}{3^3}=\frac{400}{27} \] \[\text{Cost}=106*v+25*\text{Ceiling}[v/12]\text{ =}\frac{43750}{27}= 1620.37 \text{ dollars} \] Where \[\text{Ceiling}\left[\frac{\frac{400}{27}}{12}\right]= \text{Ceiling}[1.23]= 2 \]

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