When excavation is being done for roads or buildings, the contractor will often pay nearby landowners to dump the excavated earth on their land, reducing the cost of hauling it away. One landowner, Dana Mays, is offered $0.20 per cubic foot to have dirt dumped to a depth of 2 feet over an oddly shaped portion of her land. The portion is 120 feet long, and Dana is provided with a survey map that has width measurements every 20 feet starting at the westernmost edge. The widths in feet are (going from west to east) 42, 61, 59, 54, 66, 88, and 54.

a. Use Simpson’s rule to approximate the volume of dirt that will be dumped.

b. How much should Dana expect to be paid?