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.)

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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.)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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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