The lean hog futures contract has a contract size of $40,000$ pounds. The initial margin is $$5,800$per contract, and the maintenance margin is $$4,300$ per contract. Suppose that you shorted $10$ contracts that mature in $6$ months, with a contract price of $$1\mathrm{.}88.$ Show how your margin account balance changes over the next $3$ days if the price is settled at $$1\mathrm{.}92,$ $$1\mathrm{.}95$ and $$1\mathrm{.}78.$Would you get a margin call at any time over the next $3$ days? If you close out your position at $$1\mathrm{.}73,$ how much money would you make$/$lose$?$