Your utility company will need to buy $100,000$ barrels of oil in $10$ days' time, and it is worried about fuel costs. Suppose you go long $($buy$)100$ oil futures contracts, each for $1000$ barrels of oil, at the current futures price of $$59\mathrm{.}99$ per barrel. Suppose futures prices change each day as follows. LOADING... a$.$ What is the marking$-$to$-$market profit or loss $($in dollars$)$ that you will have on each date? b$.$ What is your total profit or loss after $10$ days? Have you been protected against a rise in oil prices? c$.$ What is the largest cumulative loss you will experience over the $10-$day period? In what case might this be a problem?