Jason Rogers works full$-$time for UPS and runs a lawn$-$mowing service part$-$time after work during the warm months of April through October. Jason has three men working with him, each of whom is paid $$7\mathrm{.}00$ per lawn mowing. Jason has $26$ residential customers who contract with him for once$-$weekly lawn mowing during the months of May through September, and twice$-$per$-$month mowings during April and October. On average, Jason charges $$34$ per lawn mowed. Recently, LStar Property Management Services asked Jason to mow the lawn at each of its $27$ rental houses every two weeks during the months of May through September. LStar has offered to pay $$27$ per lawn mowing, and would forego the lawn edging that normally takes Jason's team about half of its regular mowing time. If Jason accepts the job, he can assign a two$-$man team to mow the rental house yards, and will have to buy an additional power lawn mower for about $$370$ used. Fuel to run the additional mower will be about $$0\mathrm{.}40$ per yard.