A Supply Chain manager needs to make a decision on whether to build large or small warehouse. If the manager builds a large warehouse, there is a probability of $0\mathrm{.}6$ for high demand and a probability of $0\mathrm{.}4$ for low demand. If manager decides to build a small warehouse, there is a probability of $0\mathrm{.}6$ for high demand while $0\mathrm{.}4$ for low demand. The payoff for the high demand scenario for a large warehouse is $$65\mathrm{.}4$ and $$58\mathrm{.}9$ for a small warehouse. If the manager decides to build a large warehouse and the low demand scenario occurs, he$/$ she can reduce prices and that would result in a payoff of $$19\mathrm{.}0,$ while a payoff of $$-18\mathrm{.}0$ results if he$/$she did nothing. If a low demand scenario occurs and manager had decided to go with a smaller warehouse, she$/$ he can reduce prices and achieve a payoff of $ $29\mathrm{.}0$ while a payoff of $ $-2\mathrm{.}0$ results if manager did nothing $($all payoffs are in $100$K$).$ Perform the foldback procedure and advise the manager on which option she$/$he should take $($large or small warehouse$)?$ a $46\mathrm{.}94$ payoff, Small Warehouse b $.46\mathrm{.}84$ payoff, Large Warehouse $52\mathrm{.}00$ payoff, Large Warehouse $.12$ payoffSmall Warehouse