Question One $(1)$Michael and Daniella have identical baskets containing Pens $($P$)$ and Books $($B$).$ Michael's MRS equals $\mathrm{.}62($i$.$e$.,$ he is willing to give up $1\mathrm{.}62$ books for one pen$),$ and Daniella's MRS equals $0\mathrm{.}75\mathrm{.}1.$ Determine whether Daniella would accept the trade of one of Michael's books in exchange for one of her pens$\mathrm{.}2.$ State and justify whether Michael or Daniella has a stronger preference for pens$\mathrm{.}3.$ Determine whether Michael or Daniella would end up with more books than he or she had to begin with, assuming they were allowed to exchange at the rate of one pen for one book. Justify your answer.