(40 points) A neighbor of mine in Westerly has a lawn that isn't looking very good. The picture below shows an overhead image of his house and yard. He has decided to remove all the old grass, bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. 3 Here is some information you will need: He's redoing the whole yard which is outlined in the picture. The scale is shown above the picture. . . How much topsoil does he need? I'm not sure, you'll have to figure that out. Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above. How big is the yard? I'm not sure, but you can probably estimate it using the overhead picture. What kind of pickup truck does he drive? A 2003 Ford F-150 XL. The truck bed is 80 inches long, 69 inches wide, and 20 inches tall. The payload capacity is about 1800 pounds. How much is the delivery charge? $30 per truckload on top of the soil cost. Each truckload can deliver up to 18 cubic yards. What do you know about the topsoil? The cost of topsoil is $18 per cubic yard (sold in 1/4 cubic yard increments - this means you can buy 0.25, 0.5, 0.75 cubic yards. If you need 0.6 cubic yards, you need to round and buy 0.75 cubic yard.) Topsoil weighs about 2000 pounds per cubic yard. How far is the soil store? It is 9 miles away. It takes about 20 minutes to drive there. What gas mileage does the pickup truck get? It averages 17 miles to the gallon. What is the current gas cost? Assume it's $3.79/gallon. Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? How much money would he save if he followed your recommendation? How much will he end up paying in total to get the soil? Detail all your assumptions and calculations. Clearly write out your final conclusions.