$10\mathrm{.}6$ Payback: Refer to Problem $10\mathrm{.}5.$ What are the payback periods for Production Systems $1$ and $2?$ If the systems are mutually exclusive and the firm always chooses projects with the lowest payback period, in which system should the firm invest?YEARSYSTEM $1$SYSTEM $20-$$$15,000-$$$45,000115,00032,000215,00032,000315,00032,000$