A new manager recently was given an assignment to create two possible wage schemes for a design firm. The manager came up with the following packages: $(1)$ Each employee will start at $$15$ per hour and will work eight hours per day; $(2)$ each employee will receive $$8$ per hour and one$-$tenth of $1$ percent of profits $($expected profits are $$80,000$ per day if everyone puts out maximum effort$).$ Which program will motivate the employees more? Which program would you choose? Why?