The Mazurskys want to build a chain link fence around the backyard $($the fence is already shown in the diagram above$).$ The fence would have two gates on either side of the house. They decide to do the work themselves. They need an inline post at least every $8$ feet along the fence, a corner post at each corner, and a corner post on each side of the gates. The cost for the materials is shown below. The total cost will include $9\mathrm{.}4\%$ sales tax.